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Elis [28]
4 years ago
12

Use the order of operations to simplify the following expression

Mathematics
1 answer:
Citrus2011 [14]4 years ago
3 0
The answer is -9, because of PEMDAS
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What method would you choose to solve the equation 2x^2-7=9
Margaret [11]
Here is one way to solve for x.

Step 1)  2x^2-7=9

Step 2)  2x^2-7+7=9+7

Step 3)  2x^2=16

Step 4)  (2x^2)/2=16/2

Step 5)  x^2=8

Step 6)  sqrt(x^2)=sqrt(8)

Step 7)  |x|=sqrt(8)

Step 8)  x=sqrt(8) or x=-sqrt(8)

-------------------------------------

Below are explanations/reasons to each of the steps above.

Step 1) Original equation

Step 2) Add 7 to both sides

Step 3) Combine like terms

Step 4) Divide both sides by 2

Step 5) Simplify

Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"

Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x

Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.

-------------------------------------

The two solutions are
x = sqrt(8) or x = -sqrt(8)

3 0
3 years ago
The volume of a sphere is 500 3 πcm3. What is the radius? Sphere V = 4 3 πr3 1. Substitute value into formula:  500 3 π = 4 3 πr
Kisachek [45]

Answer:

Radius of the sphere is 5m.

Step-by-step explanation:

We have given the volume of sphere \frac{500}{3}\cdot {\pi}m^3

we have to find the radius of the sphere

\text{volume of sphere is }=\frac{4}{3}\cdot {\pi}\cdot r^3

On substituting the given value of volume of sphere we get

\frac{500}{3}\cdot {\pi}=\frac{4}{3}\cdot {\pi}\cdot r^3

After simplification we get:

\Rightarrow 4\cdot r^3=500

\Rightarrow r^3=125

\Rightarrow r=5

Hence, the radius of sphere is 5m

7 0
3 years ago
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A sample of students is taken from the school’s A honor roll. The school estimates that there are actually 360 students on the A
timurjin [86]

Answer:120.

Step-by-step explanation:this is because there are 3 grades at the school 6th 7th and 8th so you simple need to divide 360 by 3 and that gets you 360.

7 0
3 years ago
15/13 as a mixed number!!
stepan [7]

Answer:

1 and 2/13

Step-by-step explanation:

15 can go into 13 once with 2 left over.

8 0
3 years ago
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Consider the equations and graph below
eimsori [14]

Answer:i think the answer is c


Step-by-step explanation

3 0
3 years ago
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