Step 3 The product P of the two numbers is xy. Use your result from the previous step to write the product as a function of x only. 60-x P(x) = X 3 1 (60 – x)x Step 4 Rewrite P(x) by completing the square. P(x) = -1/3 v -1/3 (x-30 X - 30 300 300 %3D Step 5 Use your result from the previous step to complete the following statements. The maximum value of the product, occurring at the vertex of the graph of P(x), is 300 . This maximum occurs when x = 30 , and y = 300 %3D Therefore, what are the two numbers? (Enter your answers as a comma-separated list.) (30,300) x

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 5CYU
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Solve step 5 Y=300 is wrong
Step 2
Solve your equation in the previous step for y.
(60-x)
60 - x
y =
3
Step 3
The product P of the two numbers is xy. Use your result from the previous step to write the product as a
function of x only.
60- x
(60 – )z
P(x) = X
Step 4
Rewrite P(x) by completing the square.
P(x) = -1/3 V
-1/3
- 30
30
300
300
Step 5
Use your result from the previous step to complete the following statements.
The maximum value of the product, occurring at the vertex of the graph of P(x), is 300
This maximum occurs when x = 30
V , and y = 300
Therefore, what are the two numbers? (Enter your answers as a comma-separated list.)
(30,300)
Transcribed Image Text:Step 2 Solve your equation in the previous step for y. (60-x) 60 - x y = 3 Step 3 The product P of the two numbers is xy. Use your result from the previous step to write the product as a function of x only. 60- x (60 – )z P(x) = X Step 4 Rewrite P(x) by completing the square. P(x) = -1/3 V -1/3 - 30 30 300 300 Step 5 Use your result from the previous step to complete the following statements. The maximum value of the product, occurring at the vertex of the graph of P(x), is 300 This maximum occurs when x = 30 V , and y = 300 Therefore, what are the two numbers? (Enter your answers as a comma-separated list.) (30,300)
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