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3 years ago

What is the rate of change for the linear function f(x)=-2x-5 over any interval?

Mathematics

1 answer:

julia-pushkina [17]3 years ago

5 0

To solve this problem you must apply the proccedure shown below:

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: $-2$

You might be interested in

Which of the following expressions represents the statement below?

exis [7]

Option D. 2(n + 9) is the right answer

Step-by-step explanation:

The word problems are converted into mathematical problems to solve simply.

for the given problem

"two times the sum of a number and 9"

Let n be a number then

when there is and between two things they are performed first then next operation is performed so

the sum of a number and 9

$n+9$

Then

two times the sum of a number and 9

$2(n+9)$

Hence,

Option D. 2(n + 9) is the right answer

Keywords: Mathematical notation

Learn more about mathematical notation at:

#LearnwithBrainly

5 0

4 years ago

Y = 3 - 1/2x please help. please put coordinates below. thank you.<br>thank you.

inna [77]

Coordinates would be: (0,3) (6,0)
if you need more help with these questions try using the app called desmos :)

4 0

3 years ago

1.) What is the value of cosθ given that (−5, −4) is a point on the terminal side of θ?

jeka57 [31]

Answer:

1) C

2) D

Step-by-step explanation:

We want to find the value of cos(θ) given that (-5, -4) is a point on the terminal side of θ.

This is represented by the diagram below.

Recall that cosine is the ratio of the adjacent side to the hypotenuse.

Find the hypotenuse:

$\displaystlye \begin{aligned} a^2 + b^2 &= c^2 \\ c &= \sqrt{a^2 + b^2} \\ &= \sqrt{(4)^2 + (5)^2} \\ &= \sqrt{41}\end{aligned}$

The adjacent side with respect to θ is -5 and the hypotenuse is √41. Hence:

$\displaystyle \begin{aligned}\cos \theta &= \frac{(-5)}{(\sqrt{41})} \\ \\ &= - \frac{5\sqrt{41}}{41} \end{aligned}$

Our answer is C.

We want to find the value of sin(θ) given that (-6, -8) is a point on the terminal side of θ.

This is represented in the diagram below.

Likewise, find the hypotenuse:

$\displaystyle c = \sqrt{(-6)^2 + (-8)^2} = 10$

Sine is given by the ratio of the opposite side to the hypotenuse.

The opposite side with respect to θ is -8 and the hypotenuse is 10. Hence:

$\displaystyle \begin{aligned}\sin \theta &= \frac{(-8)}{(10)} \\ \\ &= -\frac{4}{5} \end{aligned}$

Our answer is D.

8 0

3 years ago

Put the following decimals in order, starting with the smallest at the top.

shutvik [7]

Answer:

nxkckcbdhdjdmdndhdjdkdkdnd

4 0

3 years ago

Melissa owns a catering company . For lunch and dinner parties , she serves appetizers before each meal. The number of appetizer

german

Answer:

Step-by-step explanation:

Lunch = 3 appetizers per guest

If there are 22 guests: 22 × 3 = 66 appetizers served

Dinner = 5 appetizers per guest

If there are 22 guests: 22 × 5 = 110 appetizers served

Difference = total dinner appetizers - total lunch appetizers

= 110 - 66

= 44

7 0

2 years ago