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
notsponge [240]
3 years ago
8

Choose the model that represents the function

Mathematics
1 answer:
kirill [66]3 years ago
8 0

Answer:

OPTION D

Step-by-step explanation:

We have to determine which option determines the function given above.

To determine the function, just substitute the values and compare LHS and RHS.

we have $ f(4) = 18 $

$ f(-2) = -12 $

$ f(0) = -2 $

$ f(-3) = -17 $

Here, $ x $ is the domain and $ f(x) $ is the co-doamin.

Therefore, $ x = \{4, -2, 0, -3\} $

Now, OPTION A: $ f(x) =  2x - 5 $

Substitute x = 4. We get f(x) = 3 $ \ne $ 18.

So, OPTION A is rejected.

Similarly, OPTION B: $ f(x) = 5x + 2 $

Substitute x = 4. We get f(4) = 22 $ \ne $18.

It is rejected as well.

Now, for OPTION C: $ f(x) = \frac{x}{2} - 5 $

Substitute x = 4. We get f(4) = -3 $ \ne $ 18.

So, OPTION C is also rejected.

OPTION D: $ f(x) =  5x - 2 $

Substitute x = 4. We get f(4) = 18.

Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.

You might be interested in
In order for this ratio of volumes to be true, what measurements would have to be equal in all 3 solids?
Neporo4naja [7]

The measurements of the figures that should be equal in order for the ratio of volumes between the volumes of the cone, sphere, and cylinder of 1:2:3 to be true is; The radius and the height

<h3>What is a ratio?</h3>

A ratio is a comparison between the magnitudes or measurements of items, expressing the number of times one item in the ratio is contained within another item in the ratio.

The formula for the volume of a cone, V_p is, V_p = (1/3)·π·r₁²·h₁

The formula for the volume of a sphere, V_s, is V_s = (4/3)·π·r₂³

The formula for the volume of a cylinder, V_c, is V_c = π·r₃²·h₃

The ratio of the volumes in the question is 1:2:3

Therefore; The volume of the sphere is twice the volume of the cone, and the volume of the cylinder is three times the volume of the cone, which indicates;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·h₁...(1)

π·r₃²·h₃ = 3 × (1/3)·π·r₁²·h₁...(2)

Equation (1) indicates that we have;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·h₁

Where, h₁ = 2·r₂, we get;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·(2·r₂) = (4/3)·π·r₁²·r₂

Therefore; r₁ = r₂, and the diameter of the sphere is equal to the height of the cone

The radius of the cone is equal to the radius of the sphere

Equation (2) indicates;

π·r₃²·h₃ = 3 × (1/3)·π·r₁²·h₁ = π·r₁²·h₁

Therefore;

r₃²·h₃ = r₁²·h₁

r₃ = r₁

h₃ = h₁

The radius of the cone = The radius of the cylinder

The height of the cone = The height of the cylinder

  • The ratio of the volumes, 1 : 2 : 3 is true when the measurements of the radius and the height are equal for all three solids.

Learn more about the volume of regular solids here:

brainly.com/question/15316195

#SPJ1

4 0
1 year ago
You use 33 cans of soup to serve 55 people. If you want to serve 2020 people, what should you do?
sveticcg [70]
First off, we need to find how much would a people need,by dividing the amount needed.

The equation of how much a people would need:

55÷33
=1.67 or 55/33 (it would be best to keep it in fraction to get a more precise answer)

To find out how much 2020 people need ,we would mutiply the answer above by 2020:

55/33×2020
≈3366.7
≈3367

Thus,you would have to prepare 3367 can of soup.

hope it helps!
3 0
3 years ago
M-2&lt;-8 or m/8&gt;1<br>I don't know how to solve this
Shkiper50 [21]
I hope this helps you

5 0
3 years ago
The table on the left and the equation below represent
olasank [31]

Answer:

There isn't enough information

Step-by-step explanation:

In the table, on the side with a we can see that there is not one with 6 as a possible term. Therefore, we cannot find the term for b or c since you need both a and c to find b.

3 0
2 years ago
2 &gt; s-2<br> line under &gt;
nikitadnepr [17]
Add the two, to get it to the other side. Leaving s by itself and it would end up being. 4 >s. With the line under >
3 0
3 years ago
Read 2 more answers
Other questions:
  • Compare the value of the 3 in 6300 and 530
    7·1 answer
  • Which is greater... -8 , -18, 3, -19??
    14·2 answers
  • What’s a 10 percent of 100
    5·1 answer
  • 7) Find the sample standard deviation. 22 29 21 24 27 28 25 36​
    11·1 answer
  • How do you solve this problem??​
    13·1 answer
  • A rectangular building is surrounded by a rectangular parking lot. The width of the building is w, and the length is twice the w
    9·1 answer
  • Please help im confused
    10·2 answers
  • Suppose you work for a marketing consulting firm and you are tasked to determine the proportion of Americans who respond positiv
    5·1 answer
  • HELP PLS HELP ASAP :((((((9
    10·1 answer
  • Uh yeah the answer is 20 1/12 but could you tell me the step by step process for this
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!