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KatRina [158]
2 years ago
5

F(x) = 1 g(x) = x - 4 Can you evaluate (g•f)(0)? Explain why or why not?

Mathematics
2 answers:
VARVARA [1.3K]2 years ago
5 0

Answer:

This is a multiplication of functions g and f, and these functions have no restrictions(such as a even root or a fraction), and thus (g \mult f)(0) = g(0)f(0) = -4(1) = -4

Step-by-step explanation:

We are given the following functions:

f(x) = 1

g(x) = x - 4

Can you evaluate (g•f)(0)?

This is a multiplication of functions g and f, and these functions have no restrictions(such as a even root or a fraction), and thus (g \mult f)(0) = g(0)f(0) = -4(1) = -4

puteri [66]2 years ago
3 0

Answer:

To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

You must evaluate the function f first.

Division by 0 is undefined.

The composition cannot be evaluated.

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KATRIN_1 [288]

Answer:

  1/3

Step-by-step explanation:

The average rate of change of a function f(x) on an interval [a, b] is given by the formula ...

  rate of change = (f(b) -f(a))/(b -a)

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For the given function and interval, this is ...

  (log₂(4·8) -log₂(4·2))/(8 -2) = (5 -3)/(6) = 1/3

The average rate of change is 1/3.

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In the attached graph, the line between the points at the ends of the interval can be seen to have a rise of 1 for a run of 3. Its slope is 1/3.

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2 years ago
Kyle has ​$1 comma 000 in cash received for high school graduation gifts from various relatives. He wants to invest it in a cert
Vera_Pavlovna [14]

Answer:

$1077.283

Step-by-step explanation:

When complete the first year the amount will be:

1000 * 1.015= 1015

1.015 because the rate is added to the initial amount, that is: 100%+1.5% = 1 + 0.015= 1.015

When complete the second year the amount will be the last year amount adding the rate interest:

1015*1.015=1030.225.

To the third year:

1030.225*1.015=1045.678

To the fourth year:

1045.678*1.015=1061.363

To the fifth year:

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4 0
3 years ago
(-4) + 8 =<br> -10 + 12<br> 9 +(-3)<br> (+3) + (-3)<br> 5 +(-2)<br> (-18) + 9 <br> 25 + (-30)
Alex Ar [27]

Step-by-step explanation:

  • 4
  • 2
  • 6
  • 0
  • 3
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all these are the answers of your question

hope it is helpful to you

5 0
3 years ago
Helppppp plsss!!!!!!!!!!!
bagirrra123 [75]

Answer:

22 inch is the diameter because d =2r

8 0
3 years ago
the first box measures 18 inches by 8 inches by 15 inches. the second box is 10 inches tall and the area of the base measures 19
Mandarinka [93]

Answer:

  Box 1 has the greater volume, by 200 in³

Step-by-step explanation:

The largest of two volumes can be found by computing each volume and comparing the results.

<h3>Box 1</h3>

The volume is computed from dimensions by ...

  V = LWH

  V = (18 in)(8 in)(15 in) = 2160 in³

__

<h3>Box 2</h3>

The volume is computed from area and height by ...

  V = Bh . . . . . where B is the base area, and h is the height

  V = (196 in²)(10 in) = 1960 in³

__

<h3>Comparison</h3>

The units of the two volumes are the same, so we can decide which is larger by comparing the numbers. Box 1 has a volume that is more than 2000 in³, and Box 2 has a volume that is less than 2000 in³.

  Box 1 has a greater volume

The amount by which the volume is greater can be found by subtracting the smaller volume from the larger:

  2160 in³ -1960 in³ = 200 in³

  Box 1 is larger by 200 in³

_____

<em>Additional comment</em>

The percentage by which Box 1 is larger than Box 2 can be found by multiplying 100% by the ratio of the difference to the Box 1 volume:

  200/1960 × 100% ≈ 10.2%

Box 1 is about 10% larger than Box 2.

3 0
2 years ago
Read 2 more answers
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