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Anna [14]
3 years ago
15

H(-4), h(0), h(4), h(8)

Mathematics
1 answer:
DIA [1.3K]3 years ago
6 0

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The first two x-values, -4 and 0, fall in the first part of the function definition.

There is no function definition for x = 4, as the second part only applies for x > 4.

The last x-value, 8, falls in the second part of the function definition.

The function is evaluated by putting the x-value where x is in the expression and doing the arithmetic. For example, ...

  h(-4) = -(-4+1)^2 +7 = -(-3)^2 +7 = -9 +7 = -2

  h(0) = 6

  h(4) = undefined

  h(8) = -8/3

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Is f(x)=3/4 a function?
Marat540 [252]

Answer:

Yes, f(x) = \frac{3}{4} is a constant function.

Step-by-step explanation:

A function is defined to be a relation from 1 set of numbers to another set of numbers.

The main condition for a relation to be a function is that for every number in the domain there should be a <u>unique image</u>

Here the given function is f(x) = \frac{3}{4}

This function is a constant function and gives the value 0.75 for all values of x.

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4 0
3 years ago
With water from one hose, a swimming pool can be filled in 9 hours. A second, larger hose used alone can fill the pool in 2 hour
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1/9 + 1/2 = 1/x

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Multiply both sides by 18x.

2x + 9x = 18

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x = 18/10

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x = 1.8 hours

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5 0
3 years ago
A tepee is designed to have a diameter of 10 ft and a volume of 393 ft. At
Citrus2011 [14]

Answer:

15 ft.

Step-by-step explanation:

The tepee is a cone and its volume

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The radius r = 1/2 * 10 = 5 ft.

So we have the equation:

393 = 1/3*3.14* 5^2 * h

h = 393 / (1/3*3.14*25)

=  15.02 ft.

7 0
3 years ago
Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast. She plotted the data on the line
xxMikexx [17]

Answer: 7 3/4

Step-by-step explanation:

3 1/4 + 4 2/4 = 7 3/4

7 0
3 years ago
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Answer:

the answer . is 2y

Step-by-step explanation:

combine like terms

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