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White raven [17]
2 years ago
11

Suppose that the functions p and q are defined as follows. p(x)=x+1 q(x)=2x^2-2

Mathematics
1 answer:
Orlov [11]2 years ago
4 0

The value of (p*q)(5) and (q*p)(5) is 288

<h3>How to determine the composite functions?</h3>

The functions are given as:

p(x)=x+1

q(x)=2x^2-2

Calculate p(5) and q(5)

p(5)=5+1 = 6

q(5)=2(5)^2-2 = 48

The functions are then calculated as:

(p*q)(5) = p(5) * q(5)

(p*q)(5) = 6 * 48

(p*q)(5) = 288

Also, we have:

(q*p)(5) = (p*q)(5)

(q*p)(5) = 288

Hence, the value of (p*q)(5) and (q*p)(5) is 288

Read more about composite functions at:

brainly.com/question/20379727

#SPJ1

<u>Complete question</u>

Suppose that the functions p and q are defined as follows. p(x)=-x-1 q(x)=-2x^2-2 Find the following. (p*q)(5) (q*p)(5)

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mamaluj [8]
7^6 is the correct answer
8 0
3 years ago
Consider the function f ( x ) = 1 − 4 x 2 on the interval [ − 1 , 3 ] . Find the average or mean slope of the function on this i
Blababa [14]

Answer:

The average slope is 8.

Step-by-step explanation:

Let <em>f</em> be defined on the closed interval [a, b]. The average slope of <em>f </em>between a and b is the quotient

                                       average slope = \frac{f(b)-f(a)}{b-a}

To find the average slope of the function f(x)=1-4x^2 on the interval [-1, 3] you have to evaluate your function in the interval and then divide by the interval.

So,

f(-1)=1-4(-1)^2=-3\\\\f(3)=1-4(3)^2=-35

The average slope is  \frac{f(3)-f(-1)}{3+1}= \frac{-3+35}{3+1}=\frac{32}{4}=8

4 0
3 years ago
Which equation in standard form has a graph that passes through the point (-4 , 2) and has a slope of 9/2?
malfutka [58]
Answer is <span>C. 9x-2y=-40

hope that helps

because y = 9/2x +20 then 2y = 9x + 40 so 9x -2y = -40
</span>
8 0
3 years ago
PLEASE HELP I WILL MARK YOU BRAINLIEST<br><br> FIND THE AREA OF NUMBER 3 AND 4
scoray [572]

Answer:

3. 112.2 yd

4. 30m

Step-by-step explanation:

Number 3:

  1. L × W (length × width) = A
  2. 18.7 × 6 = 112.2 yd

Number 4:

  1. B × H (base × height) = A
  2. 6 × 5 = 30 m

I hope this helps!

8 0
3 years ago
Read 2 more answers
7. What are the slope and y-intercept of y=3x-5?
skelet666 [1.2K]

Answer:

slope = 3

y-intercept = -5

Step-by-step explanation:

y = mx + b

m = slope; b = y-intercept

y = 3x - 5

y = 3x + (-5)

m = 3 = slope

b = -5 = y-intercept

7 0
2 years ago
Read 2 more answers
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