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inysia [295]
3 years ago
13

The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and t

he other is an exponential function. Which function is most likely increasing quadratically?
x f(x) g(x)
1 3 3
2 6 9
3 11 27
4 18 81
5 27 243
f(x), because it grows faster than g(x)
g(x), because it will not intersect f(x)
g(x), because it grows slower than f(x)
f(x), because it grows slower than g(x)
Mathematics
1 answer:
VMariaS [17]3 years ago
5 0

Answer:

The answer is f(x), because it grows slower than g(x).

Step-by-step explanation:

f(x) is a quadratic function (because as you can see the formula of f(x) is x^2 + 2). The function of g(x) is exponentional, and therefore it grows faster than f(x).

You might be interested in
Use the exponential function y=500(.9)^x to find the value of the video game console after 4 years.
zysi [14]

Answer:

328.05 dollars

7 years

Step-by-step explanation:

1.

y=500(.9)^4 =328.05

What is being asked in the problem and what does that mean?

We are asked to the price of the video game after 4 years.

What do I know and what does it mean? What plan am I going to try?

We know the <u>initial price is $500</u>, the <u>value depreciates 10% each year </u>because we have .9 or 90% of the price going into the next year.

- value of the video game after first year 90% of 500 so is 450

- value of the video game after second year 90% of 450 so is 405

-value of the video game after third year 90% of 405 so is 364.5

-value of the video game after <u>fourth year</u> 90% of 364.5 so is 328.05

The plan is to substitute x with 4 and calculate y, y=500(.9)^4

What is your answer and what does it mean?

The answer is $328.05, and it means that the video game that was initially worth $500 it lost its' value by 10 % each of the four years.

2.

         y= 500(.9)^x

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

x =8, y= 500(0.9)^8 = 215.234 ≈215.23, this is less than $250

x = 7, y= 500(0.9)^7 = 239.148 ≈239.15, this is less than $250

x =6, y= 500(0.9)^6 = 265.721 ≈ 265.72, this is more than $250

What is being asked in the problem and what does that mean?

We are asked to find the value of x that represents the years such that the value of the console is still under $250.

What do I know and what does it mean? What plan am I going to try?

We know the value of y has to be less that $250, we know the inequality

[500(.9)^x ] < 250, the plan is to try different values for x until we have the maximum value of x that gives us less than 250.

8 0
3 years ago
Samantha has 7/3 cups of ice cream to make milk shake.Each shake uses 1/8 cup of ice cream. How many milk shakes can she make?
Travka [436]
18 milkshakes
Hope this helps

7 0
2 years ago
What are the coordinates of the vertices of the figure A'B'C'after the following transformation. (x,y) ---&gt; ( y, -x)​
topjm [15]

9514 1404 393

Answer:

  • A'(4, 4)
  • B'(4, 2)
  • C'(1, 2)

Step-by-step explanation:

Using the transformation ...

  (x,y) ⇒ (y, -x) . . . . . . rotation 90° CW

we have ...

  A(-4, 4) ⇒ A'(4, 4)

  B(-2, 4) ⇒ B'(4, 2)

  C( -2, 1) ⇒ C'(1, 2)

5 0
2 years ago
Is there are 4 more girls than boys in ms. Raubs class of 28 students what is the ratio of girls to boys
Viefleur [7K]
The ratio of girls to boys would be  16:12 because if you divide 28 by 2 you get 14. subtract 2 to on one of them and add the two to the other. You get 12 and 16. There is a difference of 4 to them and when you add them together you get 28. :)
7 0
3 years ago
Quadrilateral ABCD is dilated about the origin into quadrilateral EFGH
olga nikolaevna [1]

Answer:

2

Step-by-step explanation:

8 x 2 = 16

4 x 2 = 8

5 0
3 years ago
Read 2 more answers
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