1. By definition, the rate of change of a linear function is the slope of the line and it is constant. Based on this, you must find the slope of the given function.

2. You have the equation of the line has the following form:

$y=mx+b$

Where $m$ is the slope and $b$ is the y-intercept.

3. Then, you have that the slope of the function $f(x)=-2x-5$ is:

$m=-2$

Therefore, the answer is: $-2$

5 0

3 years ago

I need Help PLEASE, I have a TEST tomorrow and I don't know how to do this!! Please Help Me!<br> :,(

Alenkasestr [34]

3.5×10^8 is the answer

5 0

3 years ago

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What is the 6th term of the geometric sequence where a1 = 1,024 and a4 = −16? 1 −0.25 −1 0.25

VLD [36.1K]

The n-th term is given by

$a_n=a_1\cdot r^{(n-1)}\qquad\text{where r is the common ratio}$

Then we can find the common ratio from the given terms.

$\dfrac{a_4}{a_1}=\dfrac{a_1\cdot r^{(4-1)}}{a_1}=r^3=\dfrac{-16}{1024}=\left(\dfrac{-1}{4}\right)^3\\\\r=\dfrac{-1}{4}\\\\a_6=1024\left(\dfrac{-1}{4}\right)^5=-1$

The appropriate choice is -1.

8 0

4 years ago

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