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3 years ago

On a recent survey, 40% of the 900 people surveyed preferred running.

Mathematics

2 answers:

Murljashka [212]3 years ago

5 0

Answer: 550

Explanation:

Well first, you need to solve 40 percent of 900 (which is 360) then subtract it from the main amount (900)

So 900-360

loris [4]3 years ago

3 0

Answer:

360

Step-by-step explanation:

So we have 40% and 900 people. Before we ask ourselves what is 40 percent of 900, lets ask ourselves what is 10 percent. So 10 percent of 900 would be 90 because you have to move the decimal point 1 unit to the left.

Now, 40 percent is 4 times the value of 10 percent so 40 percent of 900 has to be 360, because 90 times 4 is 360.

And you can check it by multiplying 900 x .40 which would be 360

Hope this helped, good luck :)

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3 years ago

For all values of x

Yuliya22 [10]

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

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

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

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