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Andru [333]
2 years ago
5

What is the inverse of the function f(x) = 4x + 8?

Mathematics
1 answer:
sp2606 [1]2 years ago
6 0

eplace f(x) with y

swtich x and y

solve for y

replace y with f⁻¹(x)

f(x)=4x+8

y=4x+8

x=4y+8

x-8=4y

1/4x-2=y

y=1/4x-2

f⁻¹(x)=1/4x-2

none of the above

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There isn't really a formula for higher numbers. you can use a calculator with the square root function
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You invest 3000 in an account that pays simple interest of 7% for 30 years​
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Answer: the amount of interest is $630.00

Step-by-step explanation:

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6 0
3 years ago
The m6 = (11x + 8)° and m7 = (12x – 4)° What is the measure of 4? m4 = 40° m4 = 48° m4 = 132° m4 = 140°
bezimeni [28]
M< 6 = m< 7 (vertical angles)
11x + 8 = <span>12x – 4
12x - 11x = 8 + 4
 x = 12
so
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answer

<span>m<4 = 40</span>
7 0
3 years ago
Read 2 more answers
A 4. 9-mm-wide swimming pool is filled to the top. The bottom of the pool becomes completely shaded in the afternoon when the su
cestrela7 [59]

The depth of the swimming pool that is filled to the top is; 4 m

<h3>Snell's Law</h3>

I have attached a schematic diagram showing this question.

The correct width of the pool is 4 meters. Thus; w = 4 m

Incident Angle; θ₁ = 20°

A right angle is 90° and so the angle θ₂ is calculated from;

θ₂ = 90° - θ₁

θ₂ = 90° - 20°

θ₂ = 70°

We can use snell's law formula to find θ₃.

Thus;

n₁sinθ₂ = n₂sinθ₃

where;

n₁ is refractive index of air = 1

n₂ is refractive index of water = 1.33

Thus;

1*sin 70 = 1.33*sin θ₃

sin θ₃ = (sin 70)/1.33

Solving this gives;

θ₃ = 44.95°

By usage of trigonometric ratios we can find the depth of the pool using;

w/d = tan θ₃

Thus;

d = w/(tan θ₃)

d = 4/(tan 44.95)

d ≈ 4 m

Read more about Snell's Law at; brainly.com/question/10112549

6 0
2 years ago
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adell [148]

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