3 years ago

Find two numbers x and y such that their sum is 60 and x2y is maximized.

1 answer:

3 0

X + y = 60
P = x^2 y

From first equation y = 60 - x

P = x^2(60 - x)
P = 60x^2 - x^3
Finding the derivative of P and equating to zero:-
P' = 120x - 3x^2 = 0
-3x ( x - 40) = 0
x = 40
This makes y = 20
So maximum values of x^2y = 40^2 * 20 = 32,000.

You might be interested in

***BRAINLIEST IF ANSWERED*******

Lisa [10]

Answer:

First find line DE using Pythagoras theorem

That's

DE² = 7² + 24²

DE = √ 49 + 576

DE = 25

The correct trigonometric ratio for triangle DEF is

Cos(E) = 24/25

Hope this helps

8 0

3 years ago

Read 2 more answers

Circle the two equations that represent the linear function graphed below.

Arlecino [84]

Answer:

poop lol

Step-by-step explanation:

3 0

3 years ago

Helen plays basketball. For free throws, she makes the shot 75% of the time. Helen must now attempt two free throws. The probabi

CaHeK987 [17]

Answer: 0.6375

Step-by-step explanation:

Let's assume that the event that she'll make the first shot is given as P(A) while making the second shot is P(B). Therefore, P(A/B) = 0.85

Therefore, the probability that she makes both free throws will be denoted as:

= 0.75 × 0.85

= 0.6375

3 0

3 years ago

Factorise fully p^3 + p^2

nikklg [1K]

Answer:

$\huge\boxed{p^3+p^2=p^2(p+1)}$

Step-by-step explanation:

$p^3+p^2\\\\p^3=p^{2+1}=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)$

Used:

$a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac$

3 0

2 years ago

Which of the following equations represents a graph that decreases?

almond37 [142]

D because it is a decimal (lower than 0)

7 0

3 years ago