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2 years ago

10

Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents

, and find the area using geometry. ∫ 9 0 | 6 x − 6 | d x

1 answer:

Andrew [12]2 years ago

8 0

Answer:

-189

Step-by-step explanation:

$\int^9_0 \ |6x-6| \ dx$

⇒ 6x - 6 = 0

6x = 6

x = 1

$\int^9_0 \ (6x- 6 ) \ dx = \int^9_0 \ -(6x - 6) \ dx$

$= - \Big[ \dfrac{6x^2}{2}- 6x \Big]^9_0$

$= - \Big[ \dfrac{6(9)^2}{2}- 6(9) - 0 \Big]$

$= -(243 - 54 - 0 )$

= -189

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Tamiku [17]

Answer:

6*4+8=32

Step-by-step explanation:

32-8=24

24/6=4

so 6*4=24

24+8=32

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2 years ago

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NNADVOKAT [17]

Answer:

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2 years ago

−7x−50≤−1 AND−6x+70>−2

fgiga [73]

Answer:

$-7\geq x$ and $[-7,12)$ in interval notation.

Step-by-step explanation:

We have been given a compound inequality $-7x-50\leq -1\text{ and }-6x+70>-2$ . We are supposed to find the solution of our given inequality.

First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.

$-7x-50\leq -1$

$-7x-50+50\leq -1+50$

$-7x\leq 49$

Dividing by negative number, flip the inequality sign:

$\frac{-7x}{-7}\geq \frac{49}{-7}$

$x\geq -7$

$-6x+70>-2$

$-6x+70-70>-2-70$

$-6x>-72$

Dividing by negative number, flip the inequality sign:

$\frac{-6x}{-6}$

$x$

Upon merging both intervals, we will get:

$-7\geq x$

Therefore, the solution for our given inequality would be $-7\geq x$ and $[-7,12)$ in interval notation.

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3 years ago

What is the square root 6n carried to the power of 2/3 in radical form

BaLLatris [955]

Answer: $\sqrt[3]{6n}$

Step-by-step explanation:

We have the following expression:

$(\sqrt{6n})^{\frac{2}{3}}$

Which can be written as follows:

$((6n)^{\frac{1}{2}})^{\frac{2}{3}}$

Multiplying the exponents:

$(6n)^{\frac{1}{3}}$

Writing in radical form we finally have the result:

$\sqrt[3]{6n}$

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2 years ago

A dragon likes to eat red peppers and green peppers because they help him breathe fire. If the dragon eats 2 red peppers, he can

N76 [4]

it's 45

Step-by-step explanation:

Okay, so if 2 peppers is 25 meters long, you just divide 25 by 2 to get how many peppers the dragon breathes as 1 pepper. So then you get 12.5, And if you do that with the green peppers, you get 1.5. So, the dragon ate 3 green peppers, so it's 12.5 x 3 , aka. 12.5+12.5+12.5. That's 37.5, and if you do 1.5x5 for the green peppers, it's 7.5, And now you add 37.5+7.5, and you get 45.

4 0

1 year ago