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MAXImum [283]
3 years ago
5

Which table shows a constant rate of change? A Days 6 12 18 Earnings ($) 225 450 750 B Days 6 12 18 Earnings ($) 225 500 750 C D

ays 6 12 20 Earnings ($) 225 450 675 D Days 6 12 20 Earnings ($) 225 450
Mathematics
1 answer:
Rasek [7]3 years ago
8 0
I need points sorry to do this
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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
Solve in simplest form<br><br> 15 3/5 - 3 2/7
artcher [175]

Answer:

12 11/35

Step-by-step explanation:

Given Data

First term= 15 3/5

To simple fracrion= 78/5

Second term= 3 2/7

To simple fracrion= 23/7

Hence the operation goes thus

= 78/5- 23/7

LCM = 35

=546-115/35

=431/35

=12 11/35

6 0
3 years ago
Which ordered pair is a solution to this equation? 2x + 6y = 10 (4, 1) (3, 1) (2, 1) (12, 2)
gizmo_the_mogwai [7]
2, 1 because 2 x 2 is 4 + 6 x 1 is 10
4 0
3 years ago
Read 2 more answers
What is the perimeter of triangle ABC<br><br>12 units<br>13units<br>14units<br>18units​
emmainna [20.7K]

Answer:

18

Step-by-step explanation:

The length of  side AC can be found by counting the squares between AC:  8.

The length of side BC can be found using the Pythagorean Theorem.  B is 3 units to the right of C and 4 units above C.  Thus:

|BC| = √(3² + 4²) = √25 = 5.

|AC| has the same length:  5.

Thus, the perimeter of this triangle is 5 + 5 + 8, or 18.

4 0
3 years ago
Read 2 more answers
Complete the steps in solving 4/9=x/36.
ycow [4]

Step-by-step explanation:

crossmultiply and divide both sides by the co efficient of x

8 0
2 years ago
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