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seraphim [82]
2 years ago
7

Given the functions k(x) = 2x2 − 7 and p(x) = x − 4, find (k ∘ p)(x). (k ∘ p)(x) = 2x2 − 8x 16 (k ∘ p)(x) = 2x2 − 16x 32 (k ∘ p)

(x) = 2x2 − 16x 25 (k ∘ p)(x) = 2x2 − 11.
Mathematics
1 answer:
never [62]2 years ago
7 0

Function represents a relationship between variables. The product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.

<h3>What is Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given to us

k(x) = 2x² − 7

p(x) = x − 4

As the two equations are given to us, k(x) and p(x), and we need to find (k ∘ p)(x), And we know the product of two functions can be written as,

(k \cdot p)(x) = k(x) \cdot p(x)

therefore,

k(x) \cdot p(x)\\\\= (2x^2-7)(x -4)\\\\= 2x^3 - 8x^2 - 7x +28

Hence, the product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.

Learn more about Function:

brainly.com/question/5245372?referrer=searchResults

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3 years ago
The area of a rectangle is 28 m', and the length of the rectangle is 1 m more than twice the width. Find the dimensions of the r
Marianna [84]

Answer:

8m ×3.5m

Step-by-step explanation:

Area of rectangle= length ×width

Let the length and width of the rectangle be L and W meters respectively.

Area of rectangle= LW

LW= 28 -----(1)

L= 2W +1 -----(2)

Subst. (2) into (1):

(2W +1)(W)= 28

<em>Expand:</em>

2W² +W= 28

<em>-28 on both sides:</em>

2W² +W -28= 0

<em>Factorise</em><em>:</em>

(W +4)(2W -7)= 0

W +4=0 or 2W -7=0

W= -4 (reject) or W= 3.5

Substitute W= 3.5 into (2):

L= 2(3.5) +1

L= 7 +1

L= 8

∴ The dimensions of the rectangle is 8m ×3.5m.

6 0
3 years ago
A square window has an area of 256 in2. If each side of the window measures 4x, ……
S_A_V [24]

Answer:

sides are of 16 in

Step-by-step explanation:

here's your solution

==> area of square = 256 in^2. [given]

==> side of square = 4x

==> area of square= side^2

==> 4x^2 = 256

==> 16x^2 = 256

==> x^2 = 256/16

==> x^2 = 16

==> x = √16

==> x = 4

==> x = 4

hence sides are of 16 in

Hope it helps

7 0
2 years ago
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