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Helen [10]
3 years ago
7

Does anyone know how to do these maths question???

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0

Answer:

Part 1) f(g(x))=3(x^2)+2

Part 2) g(f(5))=289

Step-by-step explanation:

we know that

A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

we have

f(x)=3x+2

g(x)=x^{2}

Part 1) Determine f(g(x))

To find f(g(x)) substitute the function g(x) as the variable in function f(x)

so

f(g(x))=3(x^2)+2

Part 2) Determine g(f(x))

To find g(f(x)) substitute the function f(x) as the variable in function g(x)

so

g(f(x))=(3x+2)^2

For x=5

g(f(5))=(3(5)+2)^2

g(f(5))=289

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The revenue​ (in millions of​ dollars) from the sale of x units at a home supply outlet is given by ​R(x)equals=0.210.21x. The p
Natalka [10]

Answer: a) c(x) = 0.124x + 1.1, b) 13 units

Step-by-step explanation: Revenue function = R(x) = 0.21x

Profit function = p(x) = 0.086 - 1.1

Cost function = c(x) =?

A)

Recall that profit = total revenue - total cost

Hence, total cost = total revenue - profit

c(x) = 0.21x - (0.086x - 1.1)

c(x) = 0.21x - 0.086x + 1.1

c(x) = 0.124x + 1.1

B)

Break even point is the point where total revenue equals total cost

R(x) = c(x)

0.21x = 0.124x + 1.1

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4 0
3 years ago
A kite is fllying 115 ft above the ground. The length of the string to the kite is 150 ft, measured from the ground. Find the an
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Answer:

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4 0
3 years ago
Read 2 more answers
Help pls
lana [24]
You can either do;


1. 90(2) = 100(2)

180 = 200


In 3 minutes, they can write 200 words. So now we can divide by 3.

3/3 = 1 minute

200/3 ≈ 66.666


or


2. 90/3 = 30 secs

100/3 ≈ 33.333


30(2) = 1 minute

33.333(2) ≈ 66.666


Either way, the admin assistant can write 67 words per minute. (Rounded to the nearest whole)
3 0
3 years ago
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