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Scrat [10]
3 years ago
10

The following table shows the revenue for a company generates based on the increases in the price of the product. What is the eq

uation of the quadratic that models the data?
A. y=(x+5)^2-1125
B. y=(x-5)^2+1125
C. y=-5(x+5)^2-1125
D. y=-5(x-5)^2+1125

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
5 0
The answer is D y=-5(c-5)^2+1125
tino4ka555 [31]3 years ago
3 0

Answer:

D. y=-5\left(x-5\right)^2+1125

Step-by-step explanation:

Let, x= number of $2 increase in price and y= revenue.

So, we are given the data,

x                             y

1                          1045

3                          1105

5                          1125

7                          1105

9                          1045

So, using the regression calculator, we get that,

<h3>The equation representing the data is y=-5\left(x-5\right)^2+1125.</h3>

Thus, option D is correct.

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4 years ago
A new Outdoor recreation Center is being built in Erie. The perimeter of the rectangular playing field is 456 yards. The length
MAVERICK [17]

Answer:

P= 456 = 2X +2Y    (1)

And for this case we know the following condition "The length of the field is 7 yards less than quadruple the width" and we can write this :

X = 4Y -7

And replacing into equation (1) we got:

456= 2(4Y-7) +2Y

456 = 8Y -14 +2Y

456 = 10Y-14

Adding 14 in both sides we got:

456+14 = 10Y

And dividing 10 on both sides we got:

Y=\frac{470}{10}= 47

And then we can solve for X and we got:

X= 4*47 -7=181

Step-by-step explanation:

For this case we can set up the following notation:

X represent the lenght

Y represent the width

And since we have a rectangular playing filed the perimeter is given by:

P= 456 = 2X +2Y    (1)

And for this case we know the following condition "The length of the field is 7 yards less than quadruple the width" and we can write this :

X = 4Y -7

And replacing into equation (1) we got:

456= 2(4Y-7) +2Y

456 = 8Y -14 +2Y

456 = 10Y-14

Adding 14 in both sides we got:

456+14 = 10Y

And dividing 10 on both sides we got:

Y=\frac{470}{10}= 47

And then we can solve for X and we got:

X= 4*47 -7=181

6 0
4 years ago
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Answer:

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