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maks197457 [2]
3 years ago
9

Find the area of the shaded region of the graph

Mathematics
1 answer:
AURORKA [14]3 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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Adding mixed numbers. Can someone help me correct my answer?
Olin [163]

Answer:

27 13/60

Step-by-step explanation:

What you have tried to do is not an impossible way to do it. What you could do is set your fractions and whole numbers like this.

( 7 + 1/10) * (3 + 5/6) I don't know if you know what FOIL is, but that is the way to proceed.

  • First: (meaning the first in each factor ).   3 * 7 =                                    21
  • Outside: (meaning the two terms near outside the brackets) 7 * 5/6 = 5 5/6
  • Inside: The two terms closest to the * sign      1 / 10  *3 =                         3/10
  • Last: The two end terms    (1/10 * 5/6 = 5/60                                              5/60

Now you can add. 21 + 5 is the whole number amount = 26

Add the fractions

  • 5/6 + 3/10 + 5/60 The lowest common multiple is 60
  • 50/60 + 18/60 +5/60 = 73 / 60 = 1 and 13/60

Add that to 26 and you get 27 13/60

3 0
3 years ago
When solving the following system by elimination, which variable would be eliminated after adding the 2 equations together?
drek231 [11]

Answer:

B. x

Step-by-step explanation:

-3x+8y=-6

3x-2y=-12

if we add these

-3x+3x+8y-2y=-6-12

6y=-12      so x will be eliminated

8 0
3 years ago
I need helpppppp!!!!!!!!
kirill115 [55]
Hello, I’m not super sure about the last part but to get 1 divide 20 by 20 and then from 1 multiply by 12 to get 12. I hope this helps :)
6 0
2 years ago
Mr. Snow bought 90 grams of Christmas candy for each of his 14 grandchildren. How many total kilograms of candy did he buy?
nignag [31]

Answer:

1.26 kg.

Step-by-step explanation:

We have been given that Mr. Snow bought 90 grams of Christmas candy for each of his 14 grandchildren. We are asked to find the amount of candy bought by Mr. Snow in kilograms.

First of all, we will find the amount of candy in grams by multiplying 90 grams by 14 as:

\text{Amount of candy bought in grams}=14\times 90

\text{Amount of candy bought in grams}=1260

We know that 1 kilogram is equal to 1000 grams. To convert 1260 grams into kg, we will divide 1260 by 1000 as:

\text{Amount of candy bought in kilograms}=\frac{1260}{1000}

\text{Amount of candy bought in kilograms}=1.26

Therefore, Mr. Snow bought 1.26 kilograms of candy.

7 0
3 years ago
Which angles are corresponding angles?
Katena32 [7]
Corresponding angles are defined as angles that are on the same side of the  transversal (given the lines are parallel, which they are) and are on the same side of the parallel lines. Choices D, E, and F are angles on the same side of the transversal and on the same side of the parallel lines.

:)

5 0
3 years ago
Read 2 more answers
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