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Mathematics

1 answer:

Katyanochek1 [597]3 years ago

6 0

Answer:

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Step-by-step explanation:

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7) Find the area of the shaded region:

aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

The area of the biggest rectangle =

$(9x - 2)(2x + 7) = 18 {x}^{2} + 63x - 4x - 14 = 18 {x}^{2} + 59x - 14$

The area of the of the smallest rectangle inside=

$3x(x + 12) = 3 {x }^{2} + 36x$

Then the area of the shaded region =

$18 {x}^{2} + 59x - 14 - (3 {x}^{2} + 36x) = 18 {x}^{2} + 59x - 14 - 3 {x}^{2} - 36x = 15 {x}^{2} + 23x - 14$

So, we choose B.

7 0

3 years ago

Find the slope of each line.

Jlenok [28]

Answer:

5/7

Step-by-step explanation:

8 0

3 years ago

Can someone please explain how to do these?

Pani-rosa [81]

Answer:

First question answer: The limit is 69

Second question answer: The limit is 5

Step-by-step explanation:

For the first limit, plug in $x=8$ in the expression $(9x-3)$ , that's the answer for linear equations and limits.

So we have:

$9x-3\\9(8)-3\\72-3\\69$

The answer is 69

For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value $x=1$ into the simplified expression to get the correct answer. Shown below: