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rewona [7]
2 years ago
11

Consider the function f(x) = 4x² - x + 3. What is f(1)?

Mathematics
1 answer:
zhannawk [14.2K]2 years ago
3 0

Replace every x you see in the function with 1 and simplify.

Let x be 1.

f(1) = 4(1)^2 -(1) + 3

f(1) = 4(1) - 1 + 3

f(1) = 4 - 1 + 3

f(1) = 3 + 3

f(1) = 6

Done!

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3.A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round y
Marizza181 [45]
The answer is 2,713 in³

The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2

Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 =  1,186.92 in³

The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³

The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³  + 1,526.04 in³ 
V = 2,712.96 in³ ≈ 2,713 in³
5 0
2 years ago
The equation below describes a proportional relationship between x and y. What is the constant of​ proportionality? Y = 5.32x
yawa3891 [41]

Answer:

5.32

Step-by-step explanation:

The standard equation is

y = kx

k= constant of proportionality

This means in

y=5.32x

k = 5.32

please click heart to give thanks :) happy holidays!

6 0
3 years ago
The tape diagram represents the ratio of the time you spend tutoring to the time your friend spends tutoring. You tutor for 3 ho
Dafna11 [192]

Answer:

By a quick online search, i found two tape diagrams:

13) You: -

     Friend: - -

So you have one block, and your friend has two.

We know that you work for 3 hours, this means that your only block must represent 3 hours.

And all the blocks represent the same amount of time, then each one of the two blocks of your friend also represents 3 hours.

Then in total, he tutored for 3 hours + 3 hours = 6 hours.

14) You: -

     Friend: - - - - -

In this case, you still have only one block, but now your friend has 5.

Using the same reasoning as above, we can conclude that each block represents 3 hours, and your friend has 5 of them, this means that he tutored for:

5*3 hours = 15 hours

4 0
3 years ago
This list shows the ingredients needed to make 12 flapjacks.
AURORKA [14]
Both 12 and 18 can be divided by 6. Therefore, convert 12 flapjacks into 6 flapjacks so you can use this for the final answer. Divide all the ingredients by 2= 250/2, 120/2, 120/2, 2/2 which will give you the ingredients for 6 flapjacks. After you have found the ingredients for 6 flapjacks, multiply each by 3 because 6x3=18. You should have your answer.
4 0
2 years ago
Which conversion requires multiplication?
Taya2010 [7]

Answer:

C

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4 0
1 year ago
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