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diamong [38]
3 years ago
10

Three times a number increased by 8 is no more than the number decreased by 4.find the number

Mathematics
1 answer:
Inessa05 [86]3 years ago
8 0
3x+ 8= x-4
2x + 8= -4
2x= -12
x= -6
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The sum of three times a number and 28 is 484. Find the number.
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Solve: x + 1 &lt; 5<br>Me confused and need help ​
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At a sale, a table is being sold for 27% of the regular price. The sale price is $156.60.
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3 years ago
The graph of f is given in the figure to the right. Let ​A(x)equals=Integral from 0 to x f left parenthesis t right parenthesis
Tpy6a [65]

Answer:

A(4)=-4\pi

A(8)=-4\pi +8

A(12)=-4\pi +16

A(14)=-4\pi +15

Step-by-step explanation:

we are given

A(x)=\int\limits^x_0 f{x} \, dx

Calculation of A(4):

we can plug x=4

A(4)=\int\limits^4_0 f{x} \, dx

Since, this curve is below x-axis

so, the value of integral must be negative

and it is quarter of circle

so, we can find area of quarter circle

radius =4

A(4)=-\frac{1}{4}\times \pi \times (4)^2

A(4)=-4\pi

Calculation of A(8):

we can plug x=8

A(8)=\int\limits^8_0 f{x} \, dx

we can break into two parts

A(8)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx

now, we can find area and then combine them

A(8)=-4\pi +\frac{1}{2}\times 4\times 4

A(8)=-4\pi +8

Calculation of A(12):

we can plug x=12

A(12)=\int\limits^12_0 f{x} \, dx

we can break into two parts

A(12)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx+\int\limits^12_8 f{x} \, dx

now, we can find area and then combine them

A(12)=-4\pi +\frac{1}{2}\times 8\times 4

A(12)=-4\pi +16

Calculation of A(14):

we can plug x=14

A(14)=\int\limits^14_0 f{x} \, dx

we can break into two parts

A(14)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx+\int\limits^12_8 f{x} \, dx+\int\limits^14_12 f{x} \, dx

now, we can find area and then combine them

A(14)=-4\pi +\frac{1}{2}\times 8\times 4-\frac{1}{2}\times 1\times 2

A(14)=-4\pi +16-1

A(14)=-4\pi +15

8 0
3 years ago
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