One Step Trinomial, Two Step Factoring

Factor:

x^2 - 12x + 35

Answers

Answer 1

Answer:

You can FACTOR x^2-12x+35 by using the AC method

This means the answer will be:

(x-7)(x-5)

I hope this helps!

(Brainliest is optional)


Related Questions

suppose apple has collected extensive survey data about its new iphone, and respondents have rated it on 20 different features and benefits. now researchers want to reduce the amount of data to a few underlying dimensions. which data analysis technique should the researchers use?

Answers

In the provided problem of collection survay data the researchers use the Cluster Analysis data analysis techniques.

Cluster analysis is a statistical technique for processing data. It works by organizing items into groups or clusters based on how closely related they are.

Cluster analysis, similar to reduced-space analysis (factor analysis), deals with data matrices in which the variables have not been previously split into reference and prediction subsets. The goal of cluster analysis is to find similar groups of subjects. Here, “similarity” between each pair of subjects means a global measure of the entire set of traits.

The most common use of cluster analysis is classification. Subjects are divided into groups such that each subject is more similar to other subjects within that group than subjects outside the group.

Cluster analysis used in following areas

In the context of market research, this can be used to identify categories such as age ranges, income ranges, urban, rural, or suburban locations.

Marketing can use cluster analysis for audience segmentation to target different customer groups with the most relevant messages.

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What is the height of a trapezoid with an area of 24 square inches if the two bases measure 4 inches and 6 inches?.

Answers

4.8 inches is the height of a trapezoid with an area of 24 square inches if the two bases measure 4 inches and 6 inches.

Using the formula for the area of a trapezoid, which is:

Area = (1/2)(b1 + b2)h

In this formula, b1 and b2 are the lengths of the two bases of the trapezoid, and h is the height of the trapezoid. In our problem, we know that the area is 24 square inches, and the lengths of the two bases are 4 inches and 6 inches. We want to solve for h, the height of the trapezoid.

Plugging in the known values, we get:

24 = (1/2)(4 + 6)h

24 = (1/2)(10)h

24 = 5h

4.8 = h

Therefore, the height of the trapezoid is 4.8 inches.

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Help really bad !!. I don’t understand for some reason

Answers

Answer:

x=-20

y=10

z=-19

Step-by-step explanation:

It is given that the shape is a rhombus, which means all four sides are equal. This means we can set up the equations:

5y-4=46   --> 5y=50 --> y=10

-2x+6=46 --> -2x=40 --> x=-20

-2z+8=46 --> -2z=38 --> z=-19

A volunteer knit a 5-foot long carf at a contant rate. After 4 hour, the volunteer till ha to knit 3 feet of the carf. How much time doe it take to knit the carf from tart to finih?

Answers

The time taken to knit the scarf form start to finish is 10 hours .

In the question ,

it is given that ,

the total length of the scarf = 5 foot

After 4 hour, the volunteer still has to knit 3 feet, which means

time taken by volunteer to knit 2 feet scarf = 4 hours

So , the time taken by volunteer to knit 1 feet scarf = 4/2 = 2 hours .

hence , the the time taken by volunteer to knit the 5 feet scarf is calculated by using the formula

= 5 × (time taken to knit 1 feet)

= 5 × (2)

= 10 hours .

Therefore , The time taken to knit the scarf form start to finish is 10 hours .

The given question is incomplete , the complete question is

A volunteer knit a 5-foot long scarf at a constant rate. After 4 hour, the volunteer still has to knit 3 feet of the scarf. How much time does it take to knit the scarf from start to finish ?

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marcus borrows $3,000 from his local credit union, to be repaid with 3.5% simple interest over 4 years. What are the principal, interest rate, and time in this situation?

Answers

Principal=3k
Interest rate=3.5
Time=4 years
=42k

A rectangular box has a square base. The combined length of a side of the square
base, and the height is 20 in. Let x be the length of a side of the base of the box.
a. Write a polynomial function in factored form modeling the volume V of the box.
b. What is the maximum possible volume of the box?
c. Explain how you found the maximum possible volume.

Answers

A) A polynomial function in factored form modeling the volume V of the box is; V(x) = x²(20 - x)

B) The maximum possible volume of the box is; 1185.19 in³

C) The way the maximum possible volume is found is by finding the derivative and equation to zero. Thereafter, we substitute the value into the first equation.

How to Maximize Volume?

The formula for volume of a rectangular box is;

V =L * W * Height

Where;

L is length

W is width

H is height

We are given;

Height; h

Square base and so;

L = W = x

Thus, the volume is;

V = (x)(x)(h)

The combined length of a side of the square base and the height is 20 in. Thus; x + h = 20

h = 20 - x

Thus, volume is;

V(x) = x²(20 - x)

2) The expanded form of the volume is; V(x) = 20x² - x³

dV/dx = 40x - 3x²

The function has maxima and minima when dV/dx = 0. Thus;

40x - 3x² = 0

Solving for x gives;

x = 0 or 40/3

Maximum possible volume is;

V(40/3) = 20(40/3)² - (40/3)³

V(40/3) = 1185.19 in³

c) The way the maximum possible volume is found is by finding the derivative and equation to zero. Thereafter, we substitute the value into the first equation.

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Which is the regression equation for a scatterplot with these points rounded to the nearest tenth: (4, 35), (6.5, 92), (2, 10), (5, 50), (6, 85), (10,
110)?
O a y=13.4x-11.1
Ob y=-13.4x+8,432.27
Oc
Od y=11.1x-13.4
y=-11.1x +9,376.90

Answers

The regression equation for a scatterplot with these points  is y=13.4x-11.1

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We have given the point (4, 35), (6.5, 92), (2, 10), (5, 50), (6, 85), (10, 110)

First we need to find the slope.

The formula to calculate the slope between two points is;

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Now substitute the values

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 92 - 35 ) / ( 6.5 - 4)

m = 13.4

Find the equation of the line in slope intercept form;

y = mx + c

we have

y = 13.4x + c

Then 35 = 13.4(4) + c

c = -11.1

therefore

y = 13.4x-11.1

The regression equation for a scatterplot with these points  is y=13.4x-11.1

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1/2 inch equals 1 foot and if the pool is 34 feet long what is the measurement shown on the blueprint

Answers

With out a picture I can only assume the ANSWER IS 17

when was the titanic sunk, how many people died how many survived and what were some of their names

Answers

Answer: 1,500 people died and there names were. John Jacob Astor, Archibald Gracie IV, W. T. Stead, Noël Leslie, Thomas Andrews, Margaret Brown and John Thayer

Step-by-step explanation:

The Titanic — billed as an unsinkable ship — hit an iceberg and sank on April 15, 1912. Over 1,500 people died in the maritime disaster, while 705 individuals survived.

ANSWER: Of the 2,240 passengers on board of the Titanic, about 1,500 passengers lost their lives. 706 people survived.
No one from the titanic is still alive, the last living person was Millvina Dean who died in 2009 at 97 years old.
Some people that survived were:
- Millvina Dean
- Dorothy Gibson
- Cosmo & Lucy Duff-Gordon
- Elizabeth Shutes
- Violet Jessop
- Charles Lightoller
and more

A roll of ribbon was 8m long karmila cut 6 pieces pf ribbon each length 2/3 to tie some present then cut the remaining ribbon into some peices each of length 3/4
a) how many peices of ribbon each 3/4 m did karmila have

b) what was the length of ribbon left over​

Answers

a) Karmila have 5 pieces of ribbon each 3/4 m long

b) the length of ribbon left over​ =   1 m

A roll of ribbon was 8m long.

Karmila cut 6 pieces of ribbon each length 2/3

Total length of 6 pieces of ribbon having length 2/3 would be,

6 * (2/3) = 4 m

This means, after cutting 6 pieces of ribbon, the length of the remaining ribbon = 4 m

Then we need to cut the remaining ribbon into some pieces each of length 3/4

Let t be the number of pieces.

So, we get an equation

(3/4) * t = 4

t = 4 * (4/3)

t = 16/3

t = 5 1/3

t ≈ 5

This means, Karmila have 5 pieces of ribbon each 3/4 m long and the length of ribbon left over​ =  1m

Therefore, a) Karmila have 5 pieces of ribbon each 3/4 m long

b) the length of ribbon left over​ =   1 m

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Please provide explanation.

Answers

Answer:

100 square meters

Step-by-step explanation:

[tex] {x}^{2} + 6x + 8x = 240[/tex]

[tex] {x}^{2} + 14x = 240[/tex]

[tex] {x}^{2} + 14x - 240 = 0[/tex]

[tex](x - 10)(x + 24) = 0[/tex]

[tex]x = 10[/tex]

x = -24 will not work (it is extraneous).

[tex] {x}^{2} = 100[/tex]

So the area of the square region is 100 square meters.

Rama is stringing beads whose lengths are each 0.19 inches. How can rounding be used to estimate the length of a row of 9 beads?

Answers

Rama had used 0.10 as an approximation for the length of each bead, the row would have been too short and would have dropped outside of the allowed length range.

Rama is stringing beads whose lengths are each 0.19 inches.

A bead's length is 0.19 inches, which is approximately 0.2 inches. If the row has 9 beads, we must double the length of each bead by the number of beads. Therefore

Because the beads are approximately 0.20 inches in length, the length of a row of 9 beads is

will be approximately 9 × 0.20 = 1.80 inches.

Thus, if she had used 0.10 as an approximation for the length of each bead, the row would have been too short and would have dropped outside of the allowed length range.

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There was a trucking strike that caused a prime ingredient in your menu item to shoot up 17%. You were paying $12 per package. How much will you have to increase the price of the menu item if you wish to maintain your current dollar profit margin on the menu item?.

Answers

The amount that we have to increase the price to maintain your current dollar profit margin is  $2.04 , the correct option is (a) .

In the question ,

it is given that ,

there is a trucking strike that causes the increase in the price ,

the percent increase in the price of the ingredient = 17% .

the current cost of the package = $12 ,

the increases in price of the ingredient = 17% of 12

= 0.17 × 12            ......because 17% = 0.17

= 2.04

the increase is $2.04 .

Therefore , The amount that we have to increase the price to maintain your current dollar profit margin is  $2.04 , the correct option is (a) .

The given question is incomplete , the complete question is

There was a trucking strike that caused a prime ingredient in your menu item to shoot up 17%. You were paying $12 per package. How much will you have to increase the price of the menu item if you wish to maintain your current dollar profit margin on the menu item ?

(a) $ 2.04

(b) $6.37

(c) $7.15

(d) $9.44

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p: -3x + 8x - 5x = x
q: (3x)(5y) = 15xy
which of the following statements is false?

Answers

From the given statements it was found that statement p is false. So, -3x + 8x - 5x is equal to 0 not x.

How do equations work?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. An equation is, for instance, 3x - 5 = 16.

In p statement,

-3x + 8x - 5x = x is given.

Let us check it.

-3x + 8x - 5x = 8x - 8x = 0

So, we can say statement p is false.

In q statement,

(3x)(5y) = 15xy is given.

Let us check it.

(3x)(5y) = 15xy

So, we can say statement is q is true.

Therefore, from the given statements it was found that statement p is false. So, -3x + 8x - 5x is equal to 0 not x.

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We wish to evaluate the limit: we see that the limit above results in the indeterminate form a. b. c. d. e. upon repeated application of l'hopital's rule we see that the limit above is equivalent to where it then follows that type inf for the infinity symbol. type - inf for negative infinity type dne for does not exist

Answers

The intermediate form for the limit , [tex]\lim_{x \to \infty}[/tex] e²ˣ/x⁵ is  ∞/∞

Given,

The limit ; [tex]\lim_{x \to \infty} \frac{e^{2x} }{x^{5} }[/tex]

L'Hospital's rule;

A general technique for assessing indeterminate forms like 0/0 or / is the L'Hospital rule. L'Hospital's rule is applied to calculate the limits of indeterminate forms for calculus derivatives. It is possible to use the L Hospital rule many times.

By using L'Hospital's rule the intermediate form is;

[tex]\lim_{x \to \infty} \frac{e^{2x} }{x^{5} }[/tex] = [tex]\lim_{x \to \infty}[/tex] e²∞/ ∞⁵

 [tex]\lim_{x \to \infty} \frac{e^{2x} }{x^{5} }[/tex] =  [tex]\lim_{x \to \infty}[/tex] e∞/∞

[tex]\lim_{x \to \infty}[/tex] e²ˣ/x⁵ = [tex]\lim_{x \to \infty}[/tex] 2e²ˣ / ∞

[tex]\lim_{x \to \infty}[/tex] e²ˣ/x⁵ = [tex]\lim_{x \to \infty}[/tex] 2e∞/∞ = ∞/∞

That is,

The intermediate form for the limit , [tex]\lim_{x \to \infty}[/tex] e²ˣ/x⁵ is  ∞/∞

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Olivia is gathering sugar for a cookie fundraiser for her soccer team. Olivia needs to gather at least 54 1/3 cups of sugar. She has already collected 15 2/3 cups of sugar. If she can collect 3 1/3 cups of sugar per day, how many more days will it take her to collect at least 54 1/3 cups of sugar?

Answers

The number of days that it take Olivia to collect at least 54 1/3 cups of sugar is 12 days.

What is an inequality?

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. They are denoted by the symbols ≥ < > ≤.

In this case, Olivia needs to gather at least 54 1/3 cups of sugar.

The expression will be illustrated thus:

15 2/3 + 3 1/3d ≥ 54 1/3

Collect like terms

3 1/3d ≥ 54 1/3 - 15 2/3

3 1/3d ≥ 38 2/3

Divide

d ≥ 38 2/3 ÷ 3 1/3

d ≥ (116 / 3 × 3/10)

d ≥ 11 3/5

She needs 12 days.

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The figure below is dilated by a factor of centered at the origin. Plot the resulting
image.
Click twice to plot a segment.
Click a segment to delete it.

Answers

The resulting dilation of the figure with the scale factor of 3/4 is given by the graph at the end of the answer.

Dilation on a image

Dilation in a image means multiply the coordinates of each vertex of the figure by the scale factors.

Given,

Here we have the triangle in the given figure.

Now, we have to find the dilation of the figure with the scale factor of 3/4.

Here from the original figure graph, the vertices are obtained as follows:

S(-8,-4), T(4, -4) and U(4,8)

Now we have to use the dilation scale factor of 3/4,

Which means that the coordinates are multiplied by 3/4,

Then the new coordinates of the resulting image are given as follows:

S(-8, -4) => ((-8 x 3/4), (-4,3/4)) => S'(-6, -3)

T(4, -4) => ((4 x 3/4), (-4,3/4)) => T'(3, -3)

U(8, 4) => ((8 x 3/4), (4,3/4)) => U'(6, 3)

Now, we have to plot these new coordinates on the graph, then we get,

the graph like the following.

Here the dilated figure is given by the graph at the end of the answer, having the same format as the original figure, just with smaller side lengths due to the dilation with a scale factor less than 1.

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FOR BRAINLIEST!
pls answer asap
check the directions too pls​

Answers

Answers
1
a) broken line (more than)
b) solution (0, 4) and ( 1, 2)
False because (0, 4) sits on a dash line and cannot be a solution to a “more than” inequity. Graph attached shaded blue.

2
a) solid line ( less than or equal to)
b) solution x intercept = 2, y intercept = 3
True because the graph shows both points on the line and is a solution to a less than or equal to inequality. Graph attached shaded in red.

Answer:

1.a)  Broken line.

1.b)  False.

2.a)  Solid line.

2.b)  True.

Step-by-step explanation:

When graphing inequalities:

< or > : broken line.≤ or ≥ : solid line.< or ≤ : shade under the line.> or ≥ : shade above the line.

Question 1

Given inequality:

[tex]y > -2x+4[/tex]

a)  As the "<" sign has been used, the line will be a broken line.

b)  Substitute (0, 0) into the inequality:

[tex]\begin{aligned}\textsf{When $x=0$ and $y=0$}: \quad 0 & > -2(0)+4\\0 & > 0+4\\0 & > 4\end{aligned}[/tex]

As zero is not greater than 4, the solution at (0, 0) is false.

Graphing the inequality

Change the inequality sign to an equals sign, then substitute two values of x into the equation and solve for y to find two points on the line:

[tex]\begin{aligned}x=-2: \quad y & =-2(-2)+4\\y &=4+4\\y&=8\end{aligned}[/tex]

[tex]\begin{aligned}x=4: \quad y & =-2(4)+4\\y &=-8+4\\y&=-4\end{aligned}[/tex]

Plot the points (-2, 8) and (4, -4).

Draw a broken straight line through the points.

Shade above the line.

Question 2

Given inequality:

[tex]3x+2y \leq 6[/tex]

a)  As the "≤" sign has been used, the line will be a solid line.

b)  Substitute (0, 0) into the inequality:

[tex]\begin{aligned}\textsf{When $x=0$ and $y=0$}: \quad 3(0)+2(0) & \leq 6\\0+0 & \leq 6\\0 & \leq 6\end{aligned}[/tex]

As zero is less than 6, the solution at (0, 0) is true.

Graphing the inequality

Change the inequality sign to an equals sign, then substitute two values of x into the equation and solve for y to find two points on the line:

[tex]\begin{aligned}x=-2: \quad 3(-2)+2y & =6\\-6+2y&=6\\2y&=12\\y&=6\end{aligned}[/tex]

[tex]\begin{aligned}x=4: \quad 3(4)+2y & =6\\12+2y&=6\\2y&=-6\\y&=-3\end{aligned}[/tex]

Plot the points (-2, 6) and (4, -3).

Draw a solid straight line through the points.

Shade below the line.

A polygon has 7 sides. The interior angle measures are 130°, 118°, 135°, 128°, 126°, 134°, and x°. Find the value of x.

Answers

Answer:

Step-by-step explanation:

A septagon (7 sided polygon) adds up to 900 degrees. When adding up the given interior angle measures, you get 771. Subtract 771 from 900 and you get the answer of 129.

Answer:

x= 129°

Step-by-step explanation:

Interior angles: 180(n-2) where n=sides

=180(7-2)

=180(5)

=900°

130°+118°+135°+128°+126°+134°+x=900

771+x=900

x=900-771

x= 129°

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The diagram shows a prism.
0.5m
front
2m
0.5m
2m
2m
side
front elevation
Draw the front elevation and the side elevation
of the prism on the grids.
Use a scale of 2 squares to 1 m.

Answers

The front and side elevation diagram along with the diagram given in question is attached with the answer.

What is elevation?

A location's elevation can be defined as its height above or below a fixed reference point, most frequently a reference geoid, a mathematical representation of the Earth's sea level as an equipotential gravitational surface (see Geodetic datum Vertical datum). In most cases, elevation is used to describe locations on the surface of the Earth, whereas altitude or geopotential height is used to describe locations above the surface, such as those of flying airplanes or orbiting satellites, and depth is used to describe locations below the surface.

Drawing the required Elevation Using the Construction Method

The scale is 2 squares to 1 meter.

16 squares total make up the plane on which the front elevation is to be drawn.

Front elevation: There are 4 squares across the front elevation's width.

4 + 1 squares make up the portion of the front closest to the observer.

The slant surface of the has a square count of 3 by 4 squares.

Side elevation: By following the same format as before, the side elevation is provided as follows;

The lower side of the side elevation's breadth is 2 meters wide, or 4 squares.

The side elevation's height is 2 meters, or 4 squares.

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the following table shows how a certain man spent his 1992 annual salary rent=18% savings=12% maintenance=25% food=30% taxes=5% others=10% a) represent this information on the pie chart b) find his savings at the end of the year if his annual salary was gh¢6,000.00​

Answers

a) The pie chart that represents this information is given at the end of the answer.

b) The amount that represents his savings is of: gh¢ 720.

What is a pie chart?

A pie chart is a graph in which the values of each measure in the data-set assume a percentage equivalent to the percentage of these values in the circular graph.

In the context of this problem, these percentages are given as follows, as stated from the text:

Rent: 18%.Savings: 12%.Maintenance: 25%.Food: 30%.Taxes: 5%.Others: 10%.

All these percentages are inserted on the image given at the end of the answer, which represents the pie chart.

The percentage of savings is of:

12%.

Hence the amount of savings is given by the multiplication of 0.12 by 6,000. as follows:

0.12 x 6000 = gh¢ 720.

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A painter can paint 175 square feet per hour. She charges $0.54 per square foot. Today she paints for 5.5 hours. How much will she charge?

Answers

The amount that the painter will charge is $519.75.

What is the cost?

From the information illustrated, the painter can paint 175 square feet per hour and she charges $0.54 per square foot and then paints for 5.5 hours.

The amount that she will charge will be:

= Number of square foot × Amount charged × Number of hours

= 175 × $0.54 × 5.5

= $519.75

The amount is $519.75.

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According to Andrew Cohen, how does the Texas Code of Judicial Conduct affect judicial campaigns? A. It generally causes judges to refuse to accept contributions from interest groups during their campaigns. B. It generally causes judges to refrain from discussing their political ideology or opinions about cases during their campaigns. C. It generally fails to prevent judges from accepting contributions from interest groups during their campaigns. D. It doesn't have much of an effect on political activity during judicial campaigns, since judges still discuss their political ideology.

Answers

As the act of Texas Code of Judicial Conduct affect judicial campaigns, the correct statement is "Option D. It doesn't have much of an effect on political activity during judicial campaigns, since judges still discuss their political ideology.".

Texas code

Texas code refers the compilation of all state agency rules in Texas. In this one, there are 17 titles in the TAC. And each title represents a subject category and related agencies are assigned to the appropriate title.

Given,

Here we need to find how does the Texas Code of Judicial Conduct affect judicial campaigns.

According to the Andrew Cohen,

The correct statement in this one is,

Option D:

It doesn't have much of an effect on political activity during judicial campaigns, since judges still discuss their political ideology.

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a particular fruit's weights are normally distributed, with a mean of 641 grams and a standard deviation of 23 grams. if you pick 25 fruits at random, then 15% of the time, their mean weight will be greater than how many grams? give your answer to the nearest gram.

Answers

If you pick 25 fruits at random, then 15% of the time, their mean weight will be greater than 665 grams.


What is mean?

In statistics, mean is the ratio of sum of all the observations and total number of observations in a data set.

How to calculate their mean weight will be greater than how many grams?
Given that from the question

Mean = 641 grams

standard deviation 24 grams

If you pick 25 fruits at random, then 15% of the time, their mean weight will be greater than how many grams?

The formula for the calculating the x value in the normal distribution is,

x = μ + zσ

The level of significance is = 15% = 0.15

Therefore,

z = (=normsinv (1 - α))

= (=normsinv (1-0.15))

= (=normsinv(0.85))
= 1.036

The critical value of z is 1.036

z = 1.036

(x - μ) / σ = 1.036

x = μ + 1.036σ

= 641 + 1.036*23

= 641 + 23.828

= 664.828

= 665grams (rounded to the nearest gram)

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A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an exponential model representing the amount of Iodine-125 remaining in the tumor after t days. Then use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days. Enter the exact answer. Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c* exp (h) or c * In (h). ab sin(a) 8 22 R ar A(t) == Round to the nearest tenth of a gram. There will be Number grams of Iodine-125 after 60 days.

Answers

Exponential model representing the amount of Iodine-125 remaining in the tumor after t days is f(t) = 0.5 *[tex]e^{-0.0115t}[/tex] and number grams of Iodine-125 after 60 days is 0.2507 grams

Given:

A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day.

The formula for exponential decay is f(t)=a*e^kt where a is the original amount of the substance, k is the decay rate and t is the time elapsed. You are given the decay rate of 1.15% or -0.0115. For this problem t is left as is since we are creating a function of time.

f(t) = 0.5 *[tex]e^{-0.0115t}[/tex]

After 60 days

= 0.5 * [tex]e^{-0.0115*60}[/tex]

= 0.5*e^-0.69

= 0.5*0.50157

f(t) = 0.2507 grams

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1) What is the equation of the line perpendicular to y = (1/2)x - 2 that
contains the point (2, 5)?
y-5= -2(x - 2)
y-5=-1/2(x - 2)
y-2=-2(x - 5)
y- 5 = 1/2(x - 2)

Answers

Answer:

  (a)  y -5= -2(x -2)

Step-by-step explanation:

You want the equation of the line perpendicular to y = (1/2)x - 2 that contains the point (2, 5).

Perpendicular lines

Perpendicular lines have slopes that are opposite reciprocals of one another. The slope of the given line is the x-coefficient: 1/2. Its opposite reciprocal is ...

  -1/(1/2) = -2

Point-slope equation

The point-slope equation of a line is ...

  y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)

You want a line with slope -2 through point (2, 5), so its equation is ...

  y -5 = -2(x -2)

6. Choose the correct answer.
Which theorem or postulate could be used to prove the congruence of the pair of triangles?

Answers

Answer: SAS (Side angle side)

You fill up your car with 15 gallons of gasoline. How many pounds does the gasoline weigh?
Hint: (15 gal) (x qt/gal) (y pt/ qt) (z lb/pt)

Answers

When You fill up your car with 15 gallons of gasoline. then it weighs 90 pounds of weight.

What is Weight?

the weight of an object is the force acting on the object due to gravity.

Given

A car with 15 gallons of gasoline is filled.

We need to find the weight of the gasoline

We know that 1 gallons of gasoline is 6 pounds

So now for 15 gallons will be fifteen times of 6 pounds

15×6

90 pounds

90 pounds is the weight of the gasoline.

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the number of violent crimes committed in a day possesses a distribution with a mean of 4.9 crimes per day and a standard deviation of 3 crimes per day. a random sample of 100 days was observed, and the mean number of crimes for the sample was calculated. describe the sampling distribution of the sample mean.

Answers

the sampling distribution of the sample means is 0.03

According to the central limit theorem (n>= 30), the sampling distribution of the sample mean is approximately normal with a mean of 4.9 and a standard deviation of 3.

So:

x = standard dev/sample size

= 3 / 100

= 0.03; it is normal due to its large sample size.

Distribution is the technique of promoting and handing over services and products to clients. The term is related to marketing channels that are used to reach customers in special methods and exceptional areas. distribution characteristic, a mathematical expression that describes the chance that a machine will take on a particular value or set of values. The traditional examples are related to games of hazard.

distributing objects is an act of spreading them out similarly. Algebraic distribution method to multiply every one of the phrases inside the parentheses by way of another time period this is outside the parentheses. To distribute a term over several different terms, you multiply each of the alternative phrases by the primary term. the statistical distribution suggests which values are common and uncommon. there are numerous styles of statistical distributions, along with the bell-shaped everyday distribution.

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A group of people walked 62 miles in 1 week and 58 miles in week 2. in week three they waled 14 miles less during week 2. how many miles did the group walk in 3 weeks

Answers

Answer:

Step-by-step explanation:

The of miles the group walked in 3 weeks is 44 miles

What is proportion?

Proportion can be defined as the mathematical comparison of two elements or numbers.

From the information given, we have that;

• in 1 week people walked 62 miles

• in the second week reduced to 58 miles

• in week 3 they walked 14 fewer miles during week 2

to determine the many miles did the group walk in 3 weeks, we can reduce

58 miles - 14 miles less during week 2

=44 miles.

so, number of miles the group walked in 3 weeks is 44 miles.

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