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
Naddik [55]
3 years ago
9

(05.03 MC)

Mathematics
1 answer:
leonid [27]3 years ago
4 0
Part A:

To find the rate of change:

m = (150 - 120) / (0 - 1) because the slope formula is:

m = (y_{2} -  y_{1}) / (x_{2} - x_{1})

m = (150 - 120) / (0 - 1) is equal to:

m = 30/-1
Or -30.

So the rate of change is -30. 

The initial value is just 150, because as the x value is 0, the y value is 150.

The rate of change represents how she has to download 30 less songs onto her music player each week. The initial value means she originally had 150 songs she needed to download.

Part B:

Slope intercept form is y = mx + b.

In this case, we already can figure out everything because the y intercept is said, when it says a straight line joins the ordered pairs 0, 150,  and 1, 120... etc.

So since the x value in that point was 0, we then know that that 150 must be the y intercept.

So since we know the slope, m, as well (-30) we can just fit everything into this equation.

y = -30x + 150
You might be interested in
Solve the triangle.<br> A = 32°, a = 19, b = 14
Paha777 [63]

Answer:

A = 32°, a = 19, b = 14, B=22.98°, C = 125.02°, c = 29.36

Step-by-step explanation:

We have two sides of the triangle and we have an angle.

A = 32 °, a = 19, b = 14

We use the sine theorem to find the angle B.

We know that according to the sine theorem it is true that:

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

\frac{sin(32\°)}{19}=\frac{sin(B)}{14}

sin(B)=14*\frac{sin(32\°)}{19}\\\\B=Arcsin(14*\frac{sin(32\°)}{19})\\\\B=22.98\°

We know that the sum of the internal angles of a triangle is always equal to 180.

So:

C=180-32-22.98\\\\C=125.02\°

Finally we find the c side

\frac{sin(A)}{a}=\frac{sin(C)}{c}

\frac{sin(32\°)}{19}=\frac{sin(125.02)}{c}

0.02789=\frac{sin(125.02)}{c}

c=\frac{sin(125.02)}{0.02789}\\\\c=29.36

8 0
3 years ago
Triangle ABC is similar to triangle WYZ.
11Alexandr11 [23.1K]
I think true I am not sure
6 0
3 years ago
If f(x) = [x]-5, what is f(8.6)?<br> O 3<br> O 4<br> O 8<br> O 9
Firdavs [7]

Answer:

if the question wants you to round. the answer is 4.

Step-by-step explanation:

f(x)=[x]-5

where x= 8.6

substitute 8.6 for x and you have 8.6-5= 3.6= 4

8 0
3 years ago
I really need help with this asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Anit [1.1K]

Answer:

Radius=10

Diameter=20

circumference=62.8

Area=314

7 0
3 years ago
Read 2 more answers
What is the quotient of 9.75÷1.3
Pepsi [2]

Answer:

7.5

You know, you can just use a calculator.

5 0
3 years ago
Other questions:
  • What is the solution to the system of equations?
    15·1 answer
  • Slope is known as the run over the rise. True or False
    8·2 answers
  • Can a scalene triangle be equilateral
    11·1 answer
  • Please help me on this question.
    7·2 answers
  • What is the Prime factorization of 104? Explain.
    11·2 answers
  • I think the answer is C. but can someone confirm or correct my answer
    6·1 answer
  • Complete the equation so that it has solutions of -5 and 7.<br> X^2+_x+_=0
    13·1 answer
  • A margin of error tells us how often the confidence interval estimates the parameter incorrectly. how often a confidence interva
    6·1 answer
  • 11
    8·2 answers
  • NEED HELP ASAP!! ILL GIVE BRAINLIEST IF YOU GET IT RIGHT!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!