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Nutka1998 [239]
3 years ago
7

PLEASE HELP ME WITH THIS QUESTION ASAP

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
3 0

Answer:

y=5x+(-19)

Step-by-step explanation:

Refer to the picture that given

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Find the following <br> (u•w)(2)=<br> (w•u)(2)=
Viefleur [7K]

Answer:

(u \circ w)(2) = -34

(w \circ u) = -49

Step-by-step explanation:

We are given these following functions:

u(x) = 4x + 2

w(x) = -5x + 1

The first step to solve this question is finding the composite functions. So

(u \circ w)(x) = u(w(x)) = u(-5x+1) = 4(-5x + 1) + 2 = -20x + 6

(w \circ u)(x) = w(u(x)) = w(4x + 2) = -5(4x+2) + 1 = -20x - 9

At x = 2

Now we replace x by 2 in each of the functions. So

(u \circ w)(2) = -20(2) + 6 = -40 + 6 = -34

(w \circ u)(2) = -20(2) - 9 = -40 - 9 = -49

5 0
3 years ago
The area of a circle is increasing at a constant rate of 79 square centimeters per second. At the instant when the radius of the
Yuliya22 [10]

Answer:

0.51cm/s

Step-by-step explanation:

Area of a circle A = πr²

r is the radius

Rate of change of area is expressed as;

dA/dt = dA/dr • dr/dt

dA/dr = 2πr

radius r = 77cm

dA/dt = 79cm²

Get dr/dt

Substitute the given values into the formula

79 = 2π(77)•dr/dt

79 = 154dr/dt

dr/dt = 79/154

dr/dt = 0.51cm/s

Hence the rate of change of the radius is 0.51cm/s

8 0
3 years ago
What trigonometric expression can be used to find the value of x? Replace a and b with the correct values.
adell [148]

Answer:

x ≈ 8.39

Step-by-step explanation:

You'd have to use the tangent ratio in order to solve for x.

tangent ratio = opposite/adjacent

tan 50° = 10/x

x = 10/tan 50°

x = 8.39099631177

≈ 8.39

6 0
3 years ago
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