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stealth61 [152]
3 years ago
11

PLEASE HELP ASAP!!

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

Answer (the system of equations input doesn't work, so there is no brace):

x = 1.5y

x + y =800

Step-by-step explanation:

First, identify the vital information:

- 800 total students

- 1.5 times as many boys as girls

So, if x = number of boys and y = number of girls, we can agree that:

x = 1.5y

And because there are 800 kids in total, we can agree that:

x + y = 800

There are 320 girls and 480 boys. (see below)

Since you have the value of x, 1.5y, you can plug-in the value:

x + y = 800

1.5 + y = 800

2.5y = 800

y = 320 girls

Plug-in the y-value into the equation for the number of boys:

x = 1.5y

x = 1.5(320)

x = 480 boys

To double-check:

320 + 480 = 800 ☺

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Answer:

The average rate of change of the function over the interval is 5.

Step-by-step explanation:

Average rate of change of a function:

The average rate of change of a function f(x) over an interval [a,b] is given by:

A = \frac{f(b)-f(a)}{b-a}

Interval -3 less-than-or-equal-to x less-than-or-equal-to 3

This means that a = -3, b = 3

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So

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Average rate of change

A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5

The average rate of change of the function over the interval is 5.

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