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Maslowich
3 years ago
11

Find the area of the shaded region in the image below. Write your answer as a simplified polynomial in standard form.

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

Answer:

6x^2+17x+9

Step-by-step explanation:

you have to subtract the area of the white rectangle from the area of the entire rectangle

to find the area of the inner rectangle do (2x-3)*(x+1)=2x^2-3x+2x-3=2x^2-x-3

to find the area of the entire rectangle do (4x+6)*(2x+1)=8x^2+12x+4x+6=8x^2+16x+6

(8x^2+16x+6)-(2x^2-x-3)=8x^2+16x+6-2x^2+x+3=6x^2+17x+9

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A circle has a circumference of 138.16 meters. What is the diameter of the circle ?
Neporo4naja [7]
<span>circumference = 2 π r
138.16 = 2 π r
138.16/2π = 2π/2π r
21.98884694 =r
D</span><span>iameter = r X 2
</span>Diameter = <span><span>21.98884694</span> X 2</span>
Diameter = 43.97769388
7 0
3 years ago
What single decimal multiplier would you use to increase by 18% followed by a<br> 12% decrease?
ValentinkaMS [17]

Answer:

The single decimal multiplier used to increase by 18% followed by a  12% decrease is 0.21.

Step-by-step explanation:

Let 'x' be the number

As first the number has to be increased by 18%

so

Step 1: write the percentage '18%' in decimal form

18% = 0.18    

Step 2: For percentage increases: add the decimal to 1

1 + 0.18 = 1.18    

Step 3: Multiply the number x by the multiplier, found in Step 2

x × 1.18 = 1.18x

<u><em>NEXT WE HAVE TO DECREASE 1.18x by 12%</em></u>

Apply the same method but with a number 1.18x

  • Write the percentage '12%' in decimal form

12% = 0.12

  • For percentage decreases: subtract the decimal to 1

1 - 0.18 = 0.18

  • Multiply the number 1.18x by the multiplier, found in Previous step

1.18x × 0.18 = 0.21x

Therefore, the single decimal multiplier used to increase by 18% followed by a  12% decrease is 0.21.

7 0
3 years ago
What is the solution to the system of equations<br><br> y=2x-3.5<br><br> x-2y=-14
PIT_PIT [208]
Y-2x=-3.5
x-2y=-14
then multiply the first term by 2
2y-4x=-7
x-2y=-14
then sum them
-3x=-21
x=-7
y=3.5
5 0
3 years ago
What is the domain of the function shown
Sedaia [141]
It would be choice b.
The domain is the range of x values which in this case is from -5 to 3.
4 0
3 years ago
Read 2 more answers
Which expression do you solve first
hammer [34]

Answer:

The first thing you would solve is 10^2.

Step-by-step explanation:

This is because in the order of operations, parenthesis comes first - which you don't have any of - and then exponents come second.

8 0
3 years ago
Read 2 more answers
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