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madam [21]
3 years ago
10

What is the prime factorization for 20

Mathematics
2 answers:
NeTakaya3 years ago
4 0
2x2x5 is the prime factorization
vladimir2022 [97]3 years ago
3 0
20 = 10 x 2
10 = 2 x 5
<span>Your prime factorization is 2 x 2 x 5 (lowest terms)</span>
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What are the length and width of a rectangle if the length exceeds the width by 75 inches and the perimeter is 158 inches
olga nikolaevna [1]
Width of 76 inches and length of 3

or width of 77 and length of 2

or width of 78 and length of 1

they all have a perminiter of 158 and all widths exceed 75

8 0
3 years ago
What is the unit price for a piece of cheese if 1.24 pounds costs $11.25?
Luba_88 [7]

Answer:

$9.07 per pound

Step-by-step explanation:

Take the total cost and divide by the number of pounds

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$9.072580645 per pound

Rounding to the nearest cent

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Find the values of m and b that make the following function differentiable.
KengaRu [80]

f(x)=\begin{cases}x^2&\text{for }x\le2\\mx+b&\text{for }x>2\end{cases}

In order to be differentiable everywhere, f must first be continuous everywhere, which means the limits from either side as x\to2 must be the same and equal to f(2). By definition, f(2)=2^2=4, and

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\displaystyle\lim_{x\to2^+}f(x)=\lim_{x\to2}(mx+b)=2m+b

so we need to have 4m+b=4.

For f to be differentiable at x=2, the derivative needs to be continuous at x=2, i.e.

\displaystyle\lim_{x\to2^-}f'(x)=\lim_{x\to2^+}f'(x)

We then need to have

\displaystyle\lim_{x\to2}2x=\lim_{x\to2}m\implies\boxed{m=4}

Then

2m+b=4\implies\boxed{b=-4}

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