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2 years ago

Find the area of the shaded region of the graph

Mathematics

1 answer:

AURORKA [14]2 years ago

8 0

Answer:

9 units²

Step-by-step explanation:

A differential of area is ...

dA = ((2y -y²) -(y² -4y))·dy = (-2y² +6y)·dy

The indefinite integral of this will be ...

a = -2/3y³ +6/2y²

Then the definite integral over the limits [0, 3] will be ...

(-2/3·3³ +3·3²) - 0 = 9 . . . . square units

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15Points!!<br> Factor completely.<br><br><br> 12x² +28x

Zigmanuir [339]

Answer:

4x(3x+7)

Step-by-step explanation:

$12x^2+28x\\12xx+28x\\\\4\cdot \:3xx+4\cdot \:7x\\4x\left(3x+7\right)$

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2 years ago

If g(x)= x^2-2x-6 and h(x)= 2x^2-5x+2 find (h-g) (-2)

Natalka [10]

Answer:

Step-by-step explanation:

g(x) = x² - 2x - 6

h(x) = 2x² - 5x + 2

To find (h-g) (-2) we must first find h - g(x)

To find h - g(x) subtract g(x) from h(x)

We have

To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2

That's

We have the final answer as

Hope this helps you

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3 years ago

Koji is installing a rectangular window in an office building. The window is 823 ft wide and 534 ft high. The formula for the ar

IrinaK [193]

A = b * h
b = 8 2/3
h = 5 3/4

A = 8 2/3 * 5 3/4.....turn to improper fractions
A = 26/3 * 23/4
A = 598/12
A = 49 5/6 ft^2 <====

4 0

2 years ago

NEED HELP ASAP PLEASS AND THANK YOU

Ghella [55]

Answer:

Using points ( 2 , - 4) and ( 0 , 2)

Slope = 2+4/0-2 = 6/-2 = - 3

Since the lines are parallel their slope will be the same

So the slope of the line parallel to the one in the picture is - 3

That's option A.

Hope this helps.

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2 years ago

Read 2 more answers

This one-dimensional figure goes on forever in two directions.

Vikki [24]

It’s line always goes in both directions

7 0

2 years ago