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3 years ago

The table shows values of a function f (x) . HELP

Mathematics

1 answer:

maw [93]3 years ago

4 0

Answer:

The average rate of change is 4

Step-by-step explanation:

The average rate of change of the function over the interval is given by the slope of the line that connects the points;

(5,-2) and (9,14)

The slope of a line given 2 points is calculated as;

change in y/change in x = (14- -2)/(9-5)

= 16/4

= 4

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If y varies inversely as x, find the constant of variation if y= 3 when x = -2.

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3 years ago

A computer store buys a computer system at a cost of 357.60$. The selling price was first at 596$ , but then the store adverti

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3 years ago

Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)

maw [93]

You can simply expand each product and see whether it gives you a difference of squares.

• $\mathsf{(-7x+4)\cdot (-7x+4)}$

That's actually $\mathsf{(-7x+4)^2:}$

$\mathsf{(-7x+4)^2}\\\\ \mathsf{=(-7x+4)\cdot (-7x+4)}\\\\ \mathsf{=(-7x+4)\cdot (-7x)+(-7x+4)\cdot 4}\\\\ \mathsf{=49x^2-28x-28x+16}$

$\mathsf{=49x^2-56x+16}$ ✖

which is not a difference of squares.

—————

• $\mathsf{(-7x+4)\cdot (4-7x)}$

$\mathsf{=(-7x+4)\cdot 4-(-7x+4)\cdot 7x}\\\\ \mathsf{=-28x+16-(-49x^2+28x)}\\\\ \mathsf{=-28x+16+49x^2-28x}$

$\mathsf{=49x^2-56x+16}$ ✖

which is not a difference of squares.

—————

• $\mathsf{(-7x+4)\cdot (-7x-4)}$

$\mathsf{=(-7x+4)\cdot (-7x)-(-7x+4)\cdot 4}\\\\ \mathsf{=49x^2-28x-(-28x+16)}\\\\ \mathsf{=49x^2-\diagup\!\!\!\!\! 28x+\diagup\!\!\!\!\! 28x-16}\\\\ \mathsf{=49x^2-16}$

$\mathsf{=(7x)^2-4^2}$ ✔

That is a difference of two squares.

—————

• $\mathsf{(-7x+4)\cdot (7x-4)}$

$\mathsf{=(-7x+4)\cdot 7x-(-7x+4)\cdot 4)}\\\\ \mathsf{=-49x^2+28x-(-28x+16)}\\\\ \mathsf{=-49x^2+28x+28x-16}$

$\mathsf{=-49x^2+56x-16}$ ✖

which is not a difference of squares.

—————

Only the third option will result in a difference of squares.

Answer: (− 7x + 4) · (− 7x − 4).

I hope this helps. =)

8 0

3 years ago

Read 2 more answers

Please answer the question brainlesst

alisha [4.7K]

Answer:

Being multiplied by 3.

Step-by-step explanation:

According to the table time is being multiplied by 3 to equal the distance.

8 0

3 years ago

PLEASE HELP! Find the accumulated value of an investment of $17,000 at 6% compounded annually for 13 years. (Please show work th

mihalych1998 [28]

9514 1404 393

Answer:

$36,259.78

Step-by-step explanation:

The formula for compound interest is ...

A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r for t years compounded n times per year.

Here, you have P = 17000, r = 0.06, n = 1, t = 13.

A = 17000(1 +0.06)^13 = 17000(2.13292826) = 36,259.78

The accumulated value after 13 years is $36,259.78.

8 0

3 years ago