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Talja [164]
3 years ago
14

If h(x)= (f o g)(x) and h(x)= 4 √x+7, find g(x) if f(x) = 4 √x+1

Mathematics
1 answer:
stepladder [879]3 years ago
6 0
(f o g)(x)=f(g(x))

so

h(x)=f(g(x))
4\sqrt{x+7}=4\sqrt{g(x)+1}
hmm, see the differences

x+7=g(x)+1

x+6=g(x)
g(x)=x+6
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Please help me if you can!!!!!
klio [65]

Filling in the given value, you have

... (sin θ)² + (3/4)² = 1

... (sin θ)² = 1 - 9/16 = 7/16 . . . . . . . subtract the constant on the left

... sin θ = √(7/16) . . . . . . . . . . . . . . take the square root

... sin θ = (√7)/4

3 0
3 years ago
Which system of equations has an infinite number of solutions?
PilotLPTM [1.2K]

Answer:

I think it's x - y = 9

Step-by-step explanation:

It's the only without a variable with it. Hope this helps :)

8 0
3 years ago
Read 2 more answers
Survey results tell you that 55% of students say chocolate is their favoriate ice cream flavor. If 88 students said chocolate is
jekas [21]

Answer:

around 165-176

is it a multiple choice answer

Step-by-step explanation:

4 0
3 years ago
What is the 10th term of the sequence 64,16,4....?
krek1111 [17]

Answer:

10th term of the sequence 64,16,4... = 1/4096

Step-by-step explanation:

Points to remember

nth term of GP is given by.

Tₙ = ar⁽ⁿ⁻¹⁾

Where r is the common ratio and a is the first term

<u>To find the 10th term of given GP</u>

It is given that,

64, 16, 4,......

a = 64 and 6 = 1/4 Here

T₁₀ = ar⁽ⁿ⁻¹⁾

 = 64 * (1/4)⁽¹⁰⁻¹⁾ = 64 * (1/4⁹)

 = 4³/4⁹ = 1/4⁶ = 1/4096

8 0
3 years ago
A section in a stained glass window is shaped like a trapezoid. The top base is 2 centimeters and the bottom base is 4.5 centime
Elza [17]

Answer:

2.8 cm

Step-by-step explanation:

The area of a trapezoid is calculated using the formula:

A=\frac{(B+b)h}{2}

where

B is the length of the major base

b is the length of the minor base

h is the height of the trapezoid

In this problem, the glass window has the shape of a trapezoid. We know that:

B = 2 cm is the length of the top base

b = 4.5 cm is the length of the bottom base

A=9.1 cm^2 is the area of the trapezoid

Solving for h, we can find the height of the stained glass window:

h=\frac{2A}{B+b}=\frac{2(9.1)}{2+4.5}=2.8 cm

8 0
3 years ago
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