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Mathematics

1 answer:

crimeas [40]3 years ago

3 0

The answer is A
It’s the on answer that satisfies all points.

I found the slope first:
3-9/-2-1
2

The formula is y-y1 = m(x-x1)

The only ordered pair that is in the correct position in equation is

Y-9=2(x-1)

All the others, either numbers are wrong or signs have changed.

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Average rate of change

Nana76 [90]

The average rate of change has a relationship with slopes. In this way, we can write the slope of a line as follows:

$Slope=\frac{Change \ y}{Change \ x}$

To find the Average Rate of Change (ARC), we need to compute the following:

$ARC=\frac{s_{2}-s_{1}}{y_{2}-y_{1}}=slope \\ \\ where: \\ \\ s_{2}: Number \ of \ students \ in \ 2011 \\ s_{1}: Number \ of \ students \ in \ 2001 \\ \\ y_{2}: Year \ 2011 \\ y_{1}: Year \ 2001$

So:

$ARC=\frac{305-775}{2011-2001}=-47$

As you can see we have a negative sign. This means that the enrollment at the college has been decreasing at a rate of 47 students per year.

8 0

3 years ago

Simplify the following expression.

Sloan [31]

Answer: $3x^{2}+12x$

Step-by-step explanation:

1. To solve simplify the expression given in the problem, you must apply a property of exponents called Quotient of powers, which states that when you divide two powers that have the same base, you must subtract the exponents.

2. Keeping this property on mind, you can rewrite the expression as following and simplify:

$\frac{-12x^{3}}{-4x}-\frac{48x^{2}}{-4x}=3x^{2}+12x$