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adoni [48]
2 years ago
11

Which 2 number have the mean of 10 and range of 4

Mathematics
1 answer:
BigorU [14]2 years ago
5 0

Answer:

12 and 8

Step-by-step explanation:

→ Set up two equations

x - y = 4

\frac{x+y}{2} =10 \\ \\x + y = 20

→ Add the 2 equations together

2x = 24

→ Solve for x

x = 12

→ Substitute into original equation

12 - y = 4

→ Solve

y = 8

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2) 33*35=1155

A= 3⁻²= 1/3²= 1/9

B=3²=9

C=3⁸= 6561

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2 years ago
Three million and nine thounsandths
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Determine, using the intermediate value theorem, if the function F(x)=x^3+2x-1 has a zero on the interval [0,1]. Justify your an
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Plug x = 0 into the function

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

f(0) = 0^3 + 2(0) - 1

f(0) = -1

Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.

Repeat for x = 1

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

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

f(1) = 2

This result is positive.

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

We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.

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