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3 years ago

HELP THIS IS WORTH 88 POINTS

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

4 0

Answer:

put it in history or social studies next time-

Step-by-step explanation:

all people in math just know math because thats there strongest point. Re-do. Re-submit. Re-category.

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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:

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

5 0

3 years ago

Divide £72cm in the ratio 2:3:1 working out please

ale4655 [162]

2:3:1
2+3+1 = 7

£72 / 7 = £10.28

Answer:
£10.28 * 2 = £20.56
£10.28 * 3 = £30.84
£10.28 * 1 = £10.28

If you want to check if it's correct. add all three of them and see if you get the £72.

Please make this answer the brainiest!

4 0

3 years ago

In a certain year, 31% of adults in a certain country viewed college education as essential for success. For the following ten-y

maw [93]

Answer:

y = 31 + 2.6x

Step-by-step explanation:

Initial percentage = 31%
Average increase of percentage = 2.6% per year

<u>This can be represented as:</u>

y = 31 + 2.6x,

y- percentage after x years, x - number of years after the first year

5 0

3 years ago

Boye cuts out a rectangle that has a perimeter of 26 inches and a length of 8 inches. He cuts out another rectangle that is the

Nikolay [14]

The new dimensions of the new rectangle is length 8 inches and width 10 inches.

<h3>How to find width of a rectangle?</h3>

Perimeter = 26 inches
Length = 8 inches
Width = x inches

Perimeter of a rectangle = 2(length + width)

26 = 2(8 + x)

26 = 16 + 2x

26 - 16 = 2x

10 = 2x

x = 10/2

x = 5 inches

New rectangle

Same length = 8 inches

Twice wide = 2(5 inches)

= 10 inches

Therefore, the new dimensions of the new rectangle is length 8 inches and width 10 inches.

Learn more about perimeter of rectangle:

brainly.com/question/24571594

#SPJ1

5 0

2 years ago

Factor out the highest common factor.<br><br>

saw5 [17]

The highest common factor is found by multiplying all the factors which appear in both lists

a.(13-4b)(a+6)

13a-24b

13 and 24

so we have to factor this

13 =13×1

24=12×2=12 is 6×2=6 is 3×2=3 is 3×1=3×1

Therefore 1 and 1 get canceled

13×3=39

(a )39

like this we have to solve........

4 0

3 years ago