To evaluate: The simplified form of the expression 2-8.

Marla Payton
2021-12-10
Answered

To evaluate: The simplified form of the expression 2-8.

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Robert Pina

Answered 2021-12-11
Author has **42** answers

The given expression is 2-8.

Write the subtraction in term of addition as,

a-b=a+(-b)

The given expression becomes,

2-8=2+(-8)

Now, the given two values are of different signs and for the addition of any two numbers of different signs, subtract the smaller absolute value from the larger absolute value.

Absolute values of the numbers are,

|2|=2

|-8|=8

The number -8 has larger absolute value, so subtract 2 from 8.

8-2=6

As the largest number 8 is negative, the answer is also negative

So, the difference of the given expression is -6.

Final statement:

Therefore, the simplified form of the expression 2-8 is -6.

Write the subtraction in term of addition as,

a-b=a+(-b)

The given expression becomes,

2-8=2+(-8)

Now, the given two values are of different signs and for the addition of any two numbers of different signs, subtract the smaller absolute value from the larger absolute value.

Absolute values of the numbers are,

|2|=2

|-8|=8

The number -8 has larger absolute value, so subtract 2 from 8.

8-2=6

As the largest number 8 is negative, the answer is also negative

So, the difference of the given expression is -6.

Final statement:

Therefore, the simplified form of the expression 2-8 is -6.

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Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we can write that as $A\left(r\right)=2\pi {r}^{2}+16\pi r$ . What is the domain of $A\left(r\right)$ ? In other words, for which values of r is $A\left(r\right)$ defined?

Part b: Find the inverse function to$A\left(r\right)$ . Your answer should look like $r=$ "some expression involving A".

$r\left(A\right)=$

Hints:

1) To calculate an inverse function, you need to solve for r.

2)Here you could start with$A=2\pi {r}^{2}+16\pi r$ . This equation is the same as $A=2\pi {r}^{2}+16\pi r-A=0$ . Do you recognize this as a quadratic equation $a{x}^{2}+bx+c=0$ where the variable x is r? The coefficients would be $2\pi$ for a, $16\pi$ for b, and $-A$ for c.

3)You can solve for r using the quadratic formula even though the constant term c is a symbol here.

Part c: If the surface area is 225 square inches, then what is the radius r? In other words, evaluate$r\left(225\right)$ . Round your answer to 2 decimal places.

Need Part C

Part b: Find the inverse function to

Hints:

1) To calculate an inverse function, you need to solve for r.

2)Here you could start with

3)You can solve for r using the quadratic formula even though the constant term c is a symbol here.

Part c: If the surface area is 225 square inches, then what is the radius r? In other words, evaluate

Need Part C

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