2 years ago

What is the logical conclusion, based upon the information given in the

Mathematics

1 answer:

RSB [31]2 years ago

6 0

Rachel if u just wanted the answer

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Tyler is 8 years old. His sister Olivia is 4 years less than twice his age. Write a numerical expression for Olivia's age in the

Marat540 [252]

Numerical expression:

2 * 8 - 4 or 12

Good luck :)

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3 years ago

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Lerok [7]

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Step-by-step explanation:

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crimeas [40]

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Evaluate the integral ∫2−1|x−1|dx

defon

I think you might be referring to the definite integral,

$\displaystyle \int_{-1}^2|x-1|\,\mathrm dx$

Recall the definition of absolute value:

$|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x$

Then $|x-1|=x-1$ if $x\ge1$ , and $|x-1|=1-x$ is $x$ . So spliting up the integral at <em>x</em> = 1, we have

$\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \int_{-1}^1(1-x)\,\mathrm dx + \int_1^2(x-1)\,\mathrm dx$

The rest is simple:

$\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \left(x-\dfrac{x^2}2\right)\bigg|_{-1}^1 + \left(\dfrac{x^2}2-x\right)\bigg|_1^2 \\\\ = \left(\left(1-\frac12\right)-\left(-1-\frac12\right)\right) + \left(\left(2-2\right)-\left(\frac12-1\right)\right) \\\\ = \boxed{\frac52}$

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2 years ago

You want to solve 11% of what number is 22. Explain how you could solve that but using a proportion

slega [8]

11%=11/100

11/100=22/x

we have to solve for x now

11x=2200 divide by 11 both side

x=200

that the answer

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2 years ago