1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Slav-nsk [51]
2 years ago
10

Determine if the following functions are increasing or decreasing, and compare their rates of change. A. Both functions are incr

easing and have different rates of change. B. Both functions are decreasing and have different rates of change. C. Both functions are increasing and have the same rate of change. D. Both functions are decreasing and have the same rate of change.

Mathematics
2 answers:
Dovator [93]2 years ago
5 0
<h3>Answer: Choice D</h3>

Both functions are decreasing and have the same rate of change.

========================================================

Explanation:

The slope intercept form is y = mx+b

  • m = slope
  • b = y intercept

The first equation y = -2x-3 has slope m = -2, which is the rate of change.

--------------------

Let's find the slope of the line through (0,0) and (3,-6)

(x_1,y_1) = (0,0) \text{ and } (x_2,y_2)  = (3,-6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-6 - 0}{3 - 0}\\\\m = \frac{-6}{3}\\\\m = -2\\\\

Or you can use the shortcut that m = y/x = -6/3 = -2. This shortcut only works when the line goes through the origin. We divide the nonzero x,y values.

The slope of the second line is the same as the first line's slope.

Both lines have the same rate of change.

Both lines are decreasing due to the negative slope value.

Visually, each line goes downhill as we move from left to right.

--------------------

Side note: Both lines have the same slope (-2), but different y intercepts. This makes the lines parallel.

adoni [48]2 years ago
4 0

Answer:

D is the answer

Step-by-step explanation:

The both are - 2 slopes hope this helps!:)

You might be interested in
What is the correct definition of the third quartile of a data set?
algol [13]
We know that 

The third quartile (also called the upper quartile) has 75 percent of the data below it and the top 25 percent of the data above it. <span>The third quartile is the same as the </span>median<span> of the part of the data which is greater than the median. 
</span>
therefore

the answer is the option
<span>C.) The third quartile is the median of the upper half of data in the data set.</span>
4 0
2 years ago
Read 2 more answers
Solve for x ........................
Varvara68 [4.7K]
X-5) = 2(x-1)
3x-15 = 2x - 2
x - 15 = -2
x = 13
5 0
3 years ago
Read 2 more answers
Can 0.2 0.6 3 and 9 make 24?
saveliy_v [14]

Answer:

Yes

Step-by-step explanation:

9 x 3 - (0.6/0.2)   Simplify the parentheses

9 x 3 - 3               Multiply 9 by 3

27 - 3                   Subtract

24

5 0
3 years ago
Find the area of the trapezoid shown below. {?} square feet
PolarNik [594]

Answer:

432

Step-by-step explanation:

6 0
2 years ago
25 points! pls show work if can!!!!!!!!
Nataliya [291]

Answer: 8.4

Step-by-step explanation:

15-6.6

3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me I need help at this math
    9·2 answers
  • Planes A and B intersect.
    7·2 answers
  • Solve the equation.
    10·2 answers
  • How do I solve this?? Pls give details
    10·1 answer
  • A box has a rectangular base with a length of 3x + 2 and width of 2x - 2, and the base has a perimeter of 60 centimeters. If the
    5·1 answer
  • P2-16p+48=0 Please solve this math problem
    12·1 answer
  • How many boxes of fish can fit in the shipping box? Explain your answer, will give brainlest!
    8·1 answer
  • If the P-value is 0.02, it means that the probability of obtaining the sample statistic is 2%, if the null hypothesis is true. t
    6·1 answer
  • Solve z^3=27 it's a complex number ​
    8·2 answers
  • True or false<br> the democratic republicans favored a STRICT interpretation into the constitution
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!