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3 years ago

Given: g(x) = 3x² + 2 and h(x) = 2x + 2 Find: g(h(x))

Mathematics

1 answer:

kompoz [17]3 years ago

7 0

Step-by-step explanation:

g(x) = 3x² + 2

h(x) = 2x + 2

g(h(x)) = g([2x + 2]) = 3[2x+2]² + 2

= 3[4x² + 8x + 4] + 2

= 12x² + 24x + 12 + 2

= 12x²+ 24x + 14

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What is the rate of change between the interval of x = 0 and x = pi over two?

bekas [8.4K]

Answer:

The answer is $\frac{4}{\pi }$

Step-by-step explanation:

Given the graph as shown, we have to find the rate of change between the interval of x=0 and $\frac{\pi }{2}$ .

To find the rate of change we have to find the slope which is given by

$Rate\thinspace of \thinspace change=slope=\frac{change\thinspace\thinspace in\thinspace\thinspace y\thinspace\thinspace coordinate}{change\thinspace\thinspace in \thinspace\thinspace x \thinspace\thinspace coordinate}$

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3 years ago

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Randy wants to run half a marathon. Half a marathon is 13.1 miles. if she wants to run the race in 2 hours what rate(in minutes

IRINA_888 [86]

Answer:

9.16 minutes per mile

At 10 miles, she is short of her intended rate

Step-by-step explanation:

2 hours means 60 * 2 = 120 minutes

Randy aims to run 13.1 miles in 120 minutes. So to get the rate [min/mi], we must divide total minutes by total miles:

120/13.1 = 9.16 minutes per mile

Moreover, she realized at 10 miles, she has taken 90 minutes. So her rate at that point [min/mi] is:

90/10 = 9 min/mi

Well, Randy is short of her intended rate

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