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Crazy boy [7]
2 years ago
5

Which value is in the domain of f(x)?

Mathematics
1 answer:
Mariana [72]2 years ago
4 0

Answer: x = 4

Step-by-step explanation:

Here we have a piecewise function.

One piece works for values of x such that:   -6 < x < 0

And the other piece works for values of x such that: 0 < x ≤ 4

Then the domain of this function is:

D = (-6, 0) U (0, 4]

Notice that, becuse we use the symbols ><, the values of x:

x = -6

x = 0

Do not belong to this domain.

While becuase we use the symbol ≤ in the right end, the value x = 4 does belong to the domain.

Then for the given options, the only value that belongs to the domain is the third option, x = 4.

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Answer:

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Step-by-step explanation:

8 0
3 years ago
HELP
xxTIMURxx [149]
The pythagorean theorem states that a^2+b^2=c^2.
3^2 is 9. 
9+9=18
The square root of 18 is approximately 4.24.
a. \sqrt{18}
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6 0
3 years ago
Zhang is constructing a loading ramp (BA) that is 4-feet high (AC). The back of the base (BC) must be 12.8 ft. How long must the
inna [77]

The front of the base is 1.25 ft and the total base is 14.05 ft.

<h3>How to find the side of a right triangle?</h3>

A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.

The sides CD and BD can be found using similar triangle principle.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, the following proportion can be established as follows;

\frac{BC}{AC}=\frac{AC}{CD}

Hence,

\frac{12.8}{4}=\frac{4}{CD}

cross multiply

4 × 4 = 12.8 CD

16 = 12.8CD

divide both sides by 12.8

CD = 16 / 12.8

CD = 1.25 ft

BD = 1.25 + 12.8 = 14.05 ft

Therefore, the front of the base is 1.25 ft and the total base is 14.05 ft.

learn more on right triangle here: brainly.com/question/14324872

#SPJ1

6 0
2 years ago
What is the factored form of t6 − p3?
Mama L [17]

Answer:

<em>(C).</em> <em>(t² - p)( </em>t^{4}<em> + pt² + p²) </em>

Step-by-step explanation:

a³ - b³ = (a - b)(a² + ab + b²)

t^{6} - p³ = (t²)³ - p³ = <em>(t² - p)( </em>t^{4}<em> + pt² + p²)</em>

4 0
2 years ago
Are 4e and 4 like or unlike? *
Finger [1]
I think they are unlike
6 0
3 years ago
Read 2 more answers
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