Use the reciprocal property to solve for a 36/15 8/a

This is my method.

Take two points.

(X₁ = -8, Y₁ = 8)

(X₂ = -3, Y₂ = 4.875 or 4 7/8)

Equation of a straight line:

y = mx + b ------(i)

Step 1: Calculating Slope (m).

[tex]\frac{y_2-y_1}{x_2-x_1 }[/tex]

[tex]\frac{4.875-8}{-3--8}[/tex]

[tex]\frac{-3.12500}{5}[/tex]

[tex]m=-0.625[/tex]

Now putting value of m in equation (i)

  y = -0.625x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (-8,8) for calculating y-intercept:

y = mx + b

8 = -0.625(-8) + b

8 = 5 + b

3 = b

b = 3

Now putting value of b in equation (ii)

y = -0.625x + 3

This is slope-intercept form, now let's convert to point-slope formula.

⇒ [tex]y-2.375=-0.625(x-1)[/tex]

Answer:

the 4th graph

Step-by-step explanation:

Linear functions are straight lines.

The required value of the function at f(5) = 125, as of the given conditions.

Given that,
f(x) is a polynomial of degree four with a leading coefficient 1 such that f(1) = 1, f(2) = 8 , f(3) = 27, and f(4) = 64, then the value of f(5) is ot be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
f(x) = x⁴/x
Put x = 5
f(x) = 5⁴ / 5 = 125

Thus, the required value of the function at f(5) = 125, as of the given conditions.

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Answer:

(x, y) → (x-6, y-2)​

Step-by-step explanation:

When you translate to the left, you are subtracting.

When you translate downwards, you are also subtracting.

The same thing goes for the other way around!!

When you translate to the right, you are adding.

When you translate upwards, you are also adding.

Hope this helps!! :)

Answer:

x = 1 student.

Step-by-step explanation:

The two ordered pairs from the proportional relationship are given as follows:

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

Initially, Jesse's rate was of 9 inches per minute, however, the rate decreased 8 inches per minute, then the constant of proportionality is obtained as follows:

k = 9 - 8 = 1.

Thus the proportional relationship that gives the distance that Jesse has crawled in x minutes is given as follows:

y = x.

Then the two ordered pairs are defined as follows:

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The required value of x of a triangle is 27°.

What is a triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given, angle measurements of 2x, 4x+6, and x-15

Based on the definition of a triangle, the sum of all angles will be 180 degrees.

So, 2x + 4x+6 + x-15 = 180°

or, 7x - 9 = 180°

or, 7x = 189°

or, x = 189/7 = 27°

Hence, the required value of x of a triangle is 27°.

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Left hand side is equal to right hand side that is 7x+19 the missing term is 2x+31 we get equation as 7x+19= 4x+x-12+2x+31.

Given that,

We have to find the fill the blank of the equation with infinite solution is 7x+19= 4x+x-12+------

We know that,

Take the equation

7x+19= 4x+x-12+------

We have to find the missing terms so that the right hand side is equal to left hand side.

Right hand side is 7x+19

Left hand side is 4x+x-12+------

5x-12+----

To get 7x we have to add 2x and to get +19 we have to add 31 to left hand side.

5x-12+2x+31

7x+19

Therefore, Left hand side is equal to right hand side that is 7x+19 the missing term is 2x+31 we get equation as 7x+19= 4x+x-12+2x+31.

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The perimeter of the planter 36s

The perimeter of a regular octagon with side s is 8s.Each side of the planter will be 9 inches long.

The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter.

The distance around an object is called the perimeter. For instance, the yard of your home is fenced in. The fence's length serves as the perimeter.

The perimeter of a regular octagon with side s is 8s.

Each side of the planter will be 9 inches long.

so

9*4 =36

The perimeter of the planter is 36s.

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2 = -5(1) + b is  equation of the slope-intercept form of line .

What does math's slope intercept form mean?

A line's equation can be written in the slope-intercept form such that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are instantly visible.

                      This form is frequently known as the y = mx + b form.

y = mx + b

Parallel lines have the same slope, so

m = -5

y = -5x + b

Use the given point to find b.

2 = -5(1) + b

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A linear regression equation that represents this set of data is y = 31x + 799.8.

The calendar year in which the number of new cases would reach 1141 is 2022.

In this scenario, the Year since 2011 (x) would be plotted on the x-axis of the scatterplot while the New cases (y) would be plotted on the x-axis of the scatterplot.

On the Excel sheet, you should right click on any data point on the scatterplot, select format trend line and then tick the box to display an equation for the linear regression (line of best fit) on the graph.

By critically observing the scatterplot (see attachment) which models the relationship given in the table for the Year since 2011 (x) and the New cases (y), an equation for the linear regression is given by:

y = 31x + 799.8

Now, we can estimate the calendar year in which the number of new cases would reach 1141:

1141 = 31x + 799.8

31x = 1141 - 799.8

31x = 341.2

x = 341.2/31

x = 11.0

Calendar year = 2011 + 11

Calendar year = 2022.

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Answer:

5

Step-by-step explanation:

Slope=y2-y1/x2-x1

20-5/-3-(-6)

20-5/-3+6

15/3

=5

The first three terms of the given sequence are 1, -3, and -7 respectively.

What are sequence and series?

An arrangement of numbers in a specific order is referred to as a sequence. The total of a sequence's components, on the other hand, is known as a series.

Given, the [tex]n^{th}[/tex] term of a sequence is: [tex]u_{n}[/tex] = 5 - 4n

We need to find the first three terms, then n= 1, 2, 3 respectively

So, first term, n = 1, [tex]u_{1}[/tex] = 5 - 4*1 = 5 - 4 = 1

second term, n = 2, [tex]u_{2}[/tex] = 5 - 4*2 = 5 - 8 = -3

third term, n = 3, [tex]u_{3}[/tex] = 5 - 4*3 = 5 - 12 = -7

Hence, the first three terms of the sequence are 1, -3, and -7 respectively.

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Answer:

ANS:- 67

Step-by-step explanation:

d = a2 - a1

a2 = 307, a1 = 313

d = 307 -313 = -6

an = a1 + (n - 1)d

a1 = 313, n = 42, d = -6

a42 = 313 + (42 -1)(-6)

a42 = 313 + (41)(-6)

a42 = 313 - 246

a42 = 67

Answer:

x = 5

Step-by-step explanation:

Since this is an isosceles triangle, the two angles opposite the congruent sides are also congruent. That means that ∠A and ∠C both equal 73°, you don't even need to solve the equation with y in it. Since all the angles in a triangle add up to 180°, we know that ∠B is equal to [tex]180-(73*2)[/tex], which is 34. So if [tex]34=6x+4[/tex], then you can solve to get [tex]x=5[/tex].

The number of yellow marbles based on the given ratio will be 78.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

A ratio is a comparison of two quantities. A proportion is an equality of two ratios.

Suppose, the number of yellow marbles is Y while purple marbles are P.

As per the given,

The ratio Y/P = 13/4

Total Y + P = 102

(13/4)P + P = 102

13P + 4P = 408

17P = 408

P = 24

And, Y = 102 - 24 = 78

Hence , The number of yellow marbles based on the given ratio will     be 78.

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The total number of 1 x 1 shaded squares that there will be in the first 21 figures is of:

924.

The number of squares for each figure is given as follows:

(4, 8, 12, 16).

As the difference between consecutive terms of the sequence is constant, this sequence is an arithmetic sequence, with first term of 4 and common difference of 4.

The sum of the first n terms of an arithmetic sequence is given as follows:

[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]

The parameters of the equation are given as follows:

Applying the explicit form, the 21st term of the arithmetic sequence in this problem is given as follows:

[tex]a_{21} = 4 + 20 \times 4 = 84[/tex]

Hence the total number of squares in the first 21 figures is obtained as follows:

[tex]S_{21} = 10.5 \times (4 + 84) = 924[/tex]

The figures are given by the image shown at the end of the answer.

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Answer: 26

Step-by-step explanation:

let t = thomas's age

104 = (3t) + t

104 = 4t

t = 26

Answer: 26 years old

Step-by-step explanation:

    We will write a system of equations to help us solve, let h be equal to Huilan's age and t be equal to Thomas's age.

         h = 3t

         h + t = 104

    Now, we will solve by substituting the first equation into the second.

    Then, we will simplify the equation on the left side by combining like terms and dividing both sides of the equation by 4 to isolate the variable.

         h + t = 104

         (3t) + t = 104

         4t = 104

         t = 26

Students in french class are 9 and in Spanish are 18 , according to given equation.

What is arithmetic?

Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical operation, and extraction of roots.

Main body:

According to question:

A French class has students while a Spanish class has twice as many.

let french class have f students then Spanish class will have 2f students.

The Spanish class has nine more students than the French class.

which means

2f - f = 9

f = 9

hence students in french class are 9 and in Spanish are 18 .

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Answer:

The simplest form of 210/945 is 2/9

Step-by-step explanation:

Answer: No

Step-by-step explanation:

The ratio of the lengths of the shortest sides is [tex]\frac{6}{4}=\frac{3}{2}[/tex].

The ratio of the lengths of the longest sides is [tex]\frac{10}{7}[/tex].

Since these ratios are not equal, the triangles are not similar.

If a piper will make $2050 in sales in a week than she will get 557.5$ including her commission and salary.

A sales commission is a payment made to an employee after they successfully complete a task, typically selling a predetermined volume of goods or services. Sales commissions are a common incentive used by employers to boost employee productivity. A commission can be paid instead of or in addition to a salary.

As she makes a guaranteed salary of $250 per week

and  paid a commission equal to 15% of her total sales for the week

if  she made $2050 in sales in a week

so calculating it 15% commission

=(15x2050)/100

=307.5$

now adding the salary with commission:

=$250+307.5$

=557.5$

so this is the amount piper make will in this a week.

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Answer: it’s raining tacosss. From out of the skyyYYy.

Step-by-step explanation:kit tu litter

Answer:

i think they are similar figures therefore AD/PM=AC/PR,16/24=x/15,AD=22.5

The equation of line which is perpendicular to the given line and passes through the points ( 3, 4) is y = 3x + 5

The slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible.

The slope intercept form of a straight line equation can be written as :

y = mx + c

Where

m = slope = (change in the y-value) axis's / (change in the value of x in the x axis)

The given line's equation is

y = - x/3 + 5

Slope = - 1/3 as compared to the slope intercept form.

The slope of one line is equal to the negative reciprocal of the slope of the other line if two lines are perpendicular.

As a result, the slope of the line through (3, 4) is 3.

In order to calculate the intercept, we would replace m with 3, x with 3 and y with 4

The equation becomes

4 = 3 × 3 + c

c = -5

putting the value of c and m in the slope intercept form equation

We get

y = 3x - 5

The equation of line which is perpendicular to the given line and passes through the points ( 3, 4) is y = 3x + 5

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Answer:

A.) y = –3x + 4 and y = –3x – 4

Step-by-step explanation:

The first equation of a system of equations is y = -3x + 4 and the second equation is y = -3x - 4.

We can see that both equations have the same slope of -3 and have different y-intercepts of 4 and -4, respectively.

Because the two lines are parallel, they will never intersect and will overlap each other, resulting in an infinite number of solutions.

Therefore, the system of equations y = –3x + 4 and y = –3x – 4 has infinitely many solutions.

Answer: Angle A= 70 degrees and AC= 12 cm.

Step-by-step explanation: Isosceles have two equal sides and angles. We can see this by the red lines and angle signs.

Answer:

9) compress

10) translate right 8 units

Step-by-step explanation:

In linear equation, 2.05 pound did each piece weight .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Describe a linear example?

Any function that depicts a straight line on the coordinate plane is said to be linear. For instance, the equation y = 3x – 2 represents a straight line on a coordinate plane, indicating that it is a linear function.

                         This function can be expressed as f(x) = 3x - 2 since y can be replaced with f(x).

Mr frohock bought a watermelon that weighed 10. 25 pound..

    10.25/5

= 2.05.

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Step-by-step explanation:

[tex]2xy^2 + 8y[/tex]

2y is the common factor so:

[tex]2y(xy + 4)[/tex]

Through a given point not contained in a given line, there exists exactly one line parallel to the given line.

In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and they can never meet. In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂

Note: m represents the slope.

This ultimately implies that, two (2) lines would be parallel to each other when the slope (m₁) of the first line is equal to the slope (m₂) of the second line.

According to the Parallel postulate, there is always exactly one line that is parallel to a given line in the same plane when a point and a line are given, provided that the point is not on that line.

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Answer:

1. 24 cans/lb x 15,000 lb/trailer = 360,000 cans/trailer

2. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 15,000 lb = $9,000

3. 15,000 lbs/trailer / 30 lbs/collector = 500 can collectors/trailer

4. 15,000 lbs/trailer / 800 lbs/bale = 18 complete bales (and 3/4 of another bale)/trailer

5. 24 cans/lb x 800 lb/bale = 19,200 cans / bale

6. 100 bales/boxcar x 800 lbs/bale = 80,000 lb. cans / boxcar

7. 100 bales/boxcar x 19,200 cans/bale = 1,920,000 cans / boxcar

8. Answer will depend on your price per can or per pound. For example, if price is 60 cents per pound: $0.60/lb x 80,000 lb/boxcar = $48,000/boxcar