Answer:
191=266+109x
Step-by-step explanation:
It says 191 is the same as 266 added to the product of 109 and _____. i am guessing you meant to say a variable.
Select the three equations that pass through the points (–4, –16) and (5, 2): y + 4 = 2(x – 16) y – 2 = 2(x – 5) y = 2x – 8 y + 16 = 2(x + 4)
The equations that passes through the points (-4, -16) and (5, 2) are: y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4).
How to Find the Equations that Passes Through a Point?To determine if an equation passes through a given point, plug in the values of the x and y coordinates of the point into the equation to see if it would make the equation true. If it is true, then the equation passes through the points.
Alternatively, graph the equation on a coordinate plane to see if it passes through the given point.
The graph shows the equations given.
The red line represents y + 4 = 2(x – 16).
The blue line represents y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4).
Therefore, y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4) passes through the points (–4, –16) and (5, 2).
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Can someone help me how do I make a equation for this I’m confused
The equation to represent the function P is y=4x as per the given points in the table.
What is meant by slope-intercept form?It is easier to see the slope (m) and y-intercept (c) of a line in the slope-intercept form of a linear equation (y=mx+c).
18th-century Switzerland. The first person to present a line's equation in slope intercept format might have been Jakob Hermann.
Y = mx + c is the true slope intercept form. It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.
You can see the line's slope and y-intercept in Slope-Intercept form. One point the line travels through and the slope of the line are both clearly displayed in point-slope form.
We know that, the equation of the line is y=mx+c
If this line passes through (0,0) then,
0=m(0)+c
then, c=0
Now, substituting the point (1,4) in the above equation and c=0 then we get,
4=m(1)+0
m=4
Now substitute the point (2,8) then,
8=m(2)+0
m=4
Similarly, by substituting the points (3,12), (4,16), (5,20), (6,24) we get,
m=4
Now, by substituting c=0 and m=4 in the above equation we get,
y=4x+0
y=4x
Therefore, the equation to represent the function P is y=4x
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Which pairs of polygons are similar?
Select each correct answer.
The pair of polygons that are similar to each other are all the pairs of polygons except the pair of rectangles.
What are Similar Polygons?Similar polygons are polygons that have corresponding side lengths that are proportional to each other, thus, they have the same shape by different sizes.
To determine if he given pairs of polygons are similar, check if their corresponding side lengths have the same ratio, that is, if they are proportional to each other.
For the trapezoids:
27/15 = 18/10 = 7.2/4 = 10.8/6 = 1.8
This means the trapezoids are similar.
For the rectangles:
18/10 ≠ 14/7
This means the rectangles are not similar.
For the right triangles:
32/24 = 24/18 = 40/30 = 1.33
This means the right triangles are similar polygons.
So also is the last pair of polygons similar to each other. Therefore, the only polygon that is not similar is the pair of rectangles.
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When Jeremiah’s granddaughter was born, he started saving quarters and half dollars for her. After 2 years he had saved a total of $70.75 for her. If the number of quarters was 2 less than three times the number of half dollars, how many quarters and how many half dollars did he save?
Answer:
57 half dollars and 169 quarters
Step-by-step explanation:
We will need a system of equations to solve this problem.
Given that the number of quarters is 2 less than three times the number of half dollars, we have Q = 3H - 2
Thus, we have 0.25Q + 0.50H = 70.75 and Q = 3H - 2.
The second equation allows us to use substitution:
[tex]0.25(3H-2)+0.50H=70.75\\0.75H-0.50+0.50H=70.75\\1.25H=71.25\\H=57[/tex]
We can plus this 57 into the second equation to find the number of quarters:
[tex]Q = 3(57)-2\\Q=169[/tex]
What are the coordinates of point (1, 5) after dilating by 1/3 about (4,2)?
(2, 1)
(-1,-5)
(3, 2)
(3, 3)
The coordinates of point (1,5) after dilation is (3,3). Therefore, 4th option is correct.
It is given to us that -
The coordinates of the original point is (1,5)
=> [tex](x_{o},y_{o} )=(1,5)[/tex] ---- (1)
The dilating factor is 1/3
=> [tex]s=\frac{1}{3}[/tex] (say) ---- (2)
And, the center of dilation is at the point (4,2)
=> [tex](x_{cod},y_{cod})=(4,2)[/tex] ---- (3)
We have to find out the coordinates of point (1,5) after dilation.
Using the formula for dilation coordinates from original to image, we have
[tex][(x_{cod}+s(x_{o}-x_{cod}),y_{cod}+s(y_{o}-y_{cod})]\\=[4+\frac{1}{3}(1-4),2+\frac{1}{3}(5-2)]\\=[(4-1),(2+1)]\\=(3,3)[/tex]
Thus, the coordinates of point (1,5) after dilation is (3,3). Therefore, 4th option is correct.
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A manager at SUBWAY wants to find the total cost of 24.8 pounds of sliced turkey at $1.89 a pound and 38.2 pounds of provolone cheese at $2.05 a pound. Find the final cost. [1.4 and 1.5]
The cost that the manager will pay for turkey and cheese is $127.182.
How to calculate the cost?From the information, the manager wants to find the total cost of 24.8 pounds of sliced turkey at $1.89 a pound and 38.2 pounds of provolone cheese at $2.05 a pound.
The total cost will be:
=> Cost for turkey + Cost for cheese
= (24.8 × $1.89) + (38.2 × $2.05)
= $48.872 + $78.31
= 127.182
The cost is $127.182
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Two integers , c and d , have a product of -6. What is the greatest possible sum of c and d?
Find a polynomial function that has the given zeros. (There are many correct answers.)
0, -3, -4
f(x) =
Answer:
below
Step-by-step explanation:
f(x) = x(x+3)(x+4) would be one
= x^3 + 7x^2 + 12x
Lynne needs to borrow $6250 for cosmetic surgery. She obtains a loan from her grandmother for 24
months at a simple interest rate of 5.4%. What is the loans future value?
The loan's future value will be $6925 when Lynne pays a simple interest rate of 5.4%.
According to the question,
We have the following information:
Lynne needs to borrow $6250 for cosmetic surgery. She obtains a loan from her grandmother for 24 months at a simple interest rate of 5.4%.
We know that the following formula is used to find the simple interest:
Principal*rate*time/100
Principal = $6250
Rate = 5.4%
Time = 2 years
Simple interest = (6250*5.4*2)/100
Simple interest = 67500/100
Simple interest = $675
Now, the total amount of loan will be:
Interest + principal
675+6250
$6925
Hence, the loan's future value will be $6925 when Lynne pays a simple interest rate of 5.4%.
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Find the amount due if $700 is borrowed for 14 months at 18% simple interest.
Answer:
I = $ 1,937.50
Step-by-step explanation:
i=prt
18/100=0.18
I=700(0.18)(14)
1,937.50
x³ ÷ 3 = y; use x = 3, and y = 1
Step-by-step explanation:
If x = 3 :
x³ ÷ 3 = y
3³ ÷ 3 = y
27 ÷ 3 = y
y = 27 ÷ 3 = 9
Find the next term with work
30, 27, 21, 9, __
We get the next term as -15 when the series are 30,27,21,9,_.
Given that,
The terms are 30,27,21,9,_
We have to find the next term.
An arithmetic sequence is a group of words where the common difference between any two subsequent words remains constant. Reviewing what a sequence is will help. A sequence is a group of integers that exhibit a pattern.
Take the terms,
30,27,21,9,_
Take the 1st 2 terms
30-27=3
Next,
27-21=6
Next,
21-9=12
Here, We have 3,6,12
That mean 3+3=6 and 6+6=12
Next is 12+12=24
So,
9-24=-15
Therefore, We get the next term as -15 when the series are 30,27,21,9,_.
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Is V={4,2,111,6} a subset of Y={44,7,90,4,2,1,111,6}?
Set V is a subset of set Y
What is a subset?A set V is a subset of another set Y if all elements of the set V are elements of the set Y. In other words, the set V is contained inside the set Y. The subset relationship is denoted as V⊂Y.
Set V contain the following numbers {4,2,111,6}
It discovered that all the numbers in set V are there in set Y
set Y contains {44,7,90,42,1,111,6}
Therefore since the element of set V are in set Y , then set V is a subset of of set Y.
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If LK = MK, LK = 7x-10, KN = x + 3, MN = 9x-11, and KJ = 28, find LJ
LJ = 46 is the value when LK congruent MK .
What do you mean by congruent?
It is claimed that two figures are "congruent" if they can be positioned exactly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to having precisely the same shape and size.By given figure ,
MK = MN - KN
= 9x - 11 - ( x + 3 )
= 8x - 14
now given LK ≅ MK
LK = MK
8x - 14 = 7x - 10
8x - 7x = 14 - 10
x = 4
length of LJ = LK + KJ
= 7x - 10 + 28
= 7(4) + 18
= 28 + 18 ⇒ 46
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Using the following uniform density curve what is the probability that the random variable has a value less than 2.7?
The probability that the random variable has a value less than 2.7 is 0.337
What is Probability?
Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.
in the given question we have;
a random variable has a value of less than 2.7.
So,
Probability of (less than 2.7)
= area of rectangle starting from 0 to 2.7
= (2.7 - 0) × 0.125
= 0.3375
Hence,
The probability that the random variable has a value less than 2.7 is 0.337
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An athlete swings a 7.9 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.9 m at an angular speed of 0.27 rev/s.
What is the tangential speed of the ball? Answer in units of m/s.
part 2
What is its centripetal acceleration? Answer in units of m/s2.
part 3
If the maximum tension the rope can with- stand before breaking is 132.3 N, what is the maximum tangential speed the ball can have?
Answer in units of m/s.
this is physics
The maximum tangential speed that the ball can have is 3.89 m/s. Centripetal acceleration is 0.06561 and tangential speed of ball will be 0.243 m/s
What is centripetal force? For which motion does the centripetal force exists? Given a example?
The centripetal force is the force needed to keep a body moving in circular motion. It exists for circular motion. Example - rotation of earth around sun.
We have an athlete swings a 7.9 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.9 m at an angular speed of 0.27 rev/s.
[A] -
Tangential speed of ball = v = rω = 0.9 x 0.27 = 0.243 m/s
[B] -
Centripetal acceleration = a[c] = rω² = 0.9 x 0.27 x 0.27 = 0.06561
[C] -
Maximum tension = Maximum centripetal force = mrω² = 132.3
ω² = 132.3/mr
ω² = 18.60
v² = 18.60r²
v = 3.89 m/s
Therefore, the maximum tangential speed that the ball can have is 3.89 m/s. Centripetal acceleration is 0.06561 and tangential speed of ball will be 0.243 m/s
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the difference of x and 5 is at least -25
Answer: x - 5 is less than or equal to -25
Step-by-step explanation:
Which shows the numbers -3,2, and -1 placed correctly?
Answer: The second one is correct.
Prove or disprove:
It is possible to construct, using only straightedge and
compass, a rectangular box with square base of length x and height y
whose volume is 3 cubic units and surface area is 7 square units..?
Answer:
True/Prove
PLEASE GIVE BRAINLIEST THANK YOU!!!
The population of a specific species of nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted.
Identify and interpret the key features of the exponential function modeled in terms of this situation.
Select each correct answer.
The y-intercept represents the number of mammals when they were originally counted.
The line y = 0 is an asymptote of the graph.
The y-intercept.is 75.
The y-intercept is 120.
The asymptote indicates that the number of mammals counted when the study began was 120.
The asymptote indicates that as years pass, the number of mammals will approach 0.
The line x = 0 is an asymptote of the graph.
Answer:
The y-intercept represents the number of mammals when they were originally counted.
The line y = 0 is an asymptote of the graph.
The y-intercept is 120.
The asymptote indicates that as years pass, the number of mammals will approach 0.
A circle has a diameter of 30mm . What is its circumference? Use 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer
Answer:
94.2 mm
Step-by-step explanation:
You want the circumference of a circle that has a diameter of 30 mm.
CircumferenceThe circumference is given by the formula ...
C = πd . . . . . where d is the diameter
ApplicationYour circle has a circumference of ...
C = (3.14)(30 mm) = 94.2 mm
The circumference is 94.2 millimeters.
King's Books sold 480 bookmarks last year, in comparison to 672 bookmarks this year. What is the percentage of the increase in the number of bookmarks sold annually?
The percentage
of the increase in the number of bookmards sold is 40%
To solve this problem, first we have to rewrite the problems into some equations, such:
s = 480 --> represent the last year's sale
s' = 672 --> represent this year's sale
Then, we should define
the increase on the sale
by finding the difference between the last year'ssale and this year's sale.
Δs = s'-s
Δs = 672 - 480
Δs = 192
Then we could get the percentage of increase in sales by dividing the increase in sale with the last year's sales. Hence we could find that:
Δs% = (Δs/s) x 100%
Δs% = [tex]\frac{192}{480}*100%\\[/tex]%
Δs% = 40%
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Translate the phrase into a math expression. Twelve more than the quotient of six divided by three. Responses (6÷3)+12 eft parenthesis 6 divided by 3 right parenthesis plus 12 6÷(3+12) 6 divided by left parenthesis 3 plus 12 right parenthesis (3÷6)+12 left parenthesis 3 divided by 6 right parenthesis plus 12 3÷(6+12) 3 divided by left parenthesis 6 plus 12 right parenthesis
The given phrase on translation to math expression is (6 ÷ 3) + 12 , the correct option is (a) .
In the question ,
an mathematical phrase is given , that is "Twelve more than the quotient of six divided by three" .
we have to translate it into mathematical expression ,
So , the term quotient of six divided by three is written as 6 ÷ 3 .
and phrase " more " is represented by " + " ,
Hence the given phrase, "Twelve more than the quotient of six divided by three" is (6 ÷ 3) [tex]+[/tex] 12 .
Therefore , The given phrase on translation to math expression is (6 ÷ 3) + 12 , the correct option is (a) .
The given question is incomplete , the complete question is
Translate the phrase into a math expression , "Twelve more than the quotient of six divided by three" .
(a) (6÷3)+12
(b) 6÷(3+12)
(c) (3÷6)+12
(d) 3÷(6+12)
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Olivia is a stockbroker. She makes 4% other sales in commission. Last week, she sold $7,200 worth of stocks.
a. How much commission did she make last week?
b. If she were to average that same commission each week, how much would she make in commissions in a year, treating a year as having exactly 52 weeks?
Olivia made $288 last week from her 4 percent commission and an average of $14,976 in 52 weeks
PercentageThe term "percentage" was adapted from the Latin word "per centum", which means "by the hundred". Percentages are fractions with 100 as the denominator. In other words, it is the relation between part and whole where the value of whole is always taken as 100.
In this question, she makes a commission of 4% on her weekly sales.
A) How much did she makes last week?
To find how much she made, we simply have to find 4% of 7200
0.04 * 7200 = 288
She made $288 last week.
B) If she made $288 each week, and we have 52 weeks in a year, we can multiply them and find how much she made in a year.
$288 * 52 = $14,976
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Which figure is shaded to represent an equivalent fraction?
Answer: the one on the top left corner
Answer: the third one (bottom left) but also the second one (top right)
Step-by-step explanation: 2. there are 8 total parts to the figure and four of those parts are shaded. 4/8
3. There are four total parts to the figure but only 2 are shaded. 2/4
2/4 and 4/8 are both EQUIVALENT to 1/2. Therefore, that is the correct answer.
Solve for t.
13 + t = 51
A. t = 37
B. t = 38
C. t = 42
D. t = 64
Answer: the answer is 38
Step-by-step explanation:
all you have to do is subtract 51-13 and the answer of that is the asnswer. :)
Find the fourth proportional of 5, 2, and 10.
Any of the four terms of a discrete geometric proportion is called a proportional fourth.
[tex]\bold{5, 2 \: and \: 10.5}[/tex]
A geometric proportion is formed as follows:
[tex]\bold{5 : 2 :: 10 : x}[/tex]
Since the unknown term is an extreme and as we have seen before, one extreme is equal to the means divided by the other extreme, we will have:
[tex]\boxed{\bold{ \: x = \frac{2 \:∗ \: 10}{5} = 4} }[/tex]
Therefore, the geometric proportion is:
[tex]\bold{5 : 2 :: \: :: 10 :4}[/tex]
Given f(x) = 2x^2 - 4x - 4, find the equation of the tangent line of f at the point
where x = -3.
The equation of the tangent line of f at the point x = -3 will be y = -16x-48.
According to the question,
We have the following information:
f(x) = [tex]2x^{2} -4x-4[/tex]
Now, we will first find the derivation of this function with respect to x:
Let's take its derivation to be f'(x).
f'(x) = 4x-4
Now, finding the slope of the equation when x = -3:
f'(-3) = 4*(-3)-4
f'(-3) = -12-4
f(-3) = -16
Now, we know that following formula is used to find the equation of a line:
(y-y') = m(x-x')
y-0 = -16{x-(-3)}
y = -16(x+3)
y = -16x-48
Hence, the equation of the tangent line of f at the point x = -3 will be y = -16x-48.
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Illustrative Mathematics
An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using for distance in kilometers and for number of hours, an equation that represents this situation is .
What are two constants of proportionality for the relationship between distance in kilometers and number of hours? What is the relationship between these two values?
Write another equation that relates and in this context.
1. Two constants of proportionality representing the proportional relationship between distance in kilometers and number of hours are 400 km and 8 hours.
2. The relationship (ratio) between the two values is 50 km per hour or the equation, d = 50t.
3. Another equation that relates distance and time in this context is t = d/50 or 400/50.
What is the constant of proportionality?The constant of proportionality is the ratio relating two given values in a proportional relationship.
Other names for the constant of proportionality include:
Constant rateUnit rateConstant ratioRate of changeConstant of variation.Distance, d = 400 km
Constant speed, t = 8 hours
d = 400/8
d = 50t
Constant of proportionality = 50.
t = d/s
Where d, distance = 400 km and s, speed = 50 km/h
= 400/50
= 8 hours
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point r is located at (-5,-2), Point T is located at (2,5) the ratio of RS/ST is 2/5 Plot point S on RT to make the ratio true
The point S of line segment RT such that RS / ST = 2 / 5 is equal to (- 3, 0).
How to determine the coordinates of the point within a line point
Herein we find a line segment whose endpoints are known (R(x, y) = (- 5, - 2), T(x, y) = (2, 5)) and in which we must determine the coordinates of a point S within line segment RT such that the partition ratio is observed:
RS / ST = 2 / 5
[tex]\overrightarrow{RS} = \frac{2}{5} \cdot \overrightarrow {ST}[/tex]
S(x, y) - R(x, y) = (2 / 5) · [T(x, y) - S(x, y)]
(7 / 5) · S(x, y) = (2 / 5) · T(x, y) + R(x, y)
S(x, y) = (2 / 7) · T(x, y) + (5 / 7) · R(x, y)
Now we determine the location of point S:
S(x, y) = (2 / 7) · (2, 5) + (5 / 7) · (- 5, - 2)
S(x, y) = (4 / 7, 10 / 7) + (- 25 / 7, - 10 / 7)
S(x, y) = (- 21 / 7, 0)
S(x, y) = (- 3, 0)
The location of point S is (- 3, 0). A representation of the geometric system is shown in the image attached below.
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