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)
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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.
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The two solutions are
x = sqrt(8) or x = -sqrt(8)
Answer:
142.96 dollars
Step-by-step explanation:
Answer:
4.4 < 2.5 +x
She needs to crochet at least 1.9 more ft
Step-by-step explanation:
She wants the scarf to be at least 4.4 ft long
4.4< scarf
The scarf is 2.5 ft long now
She will crochet x more ft
4.4 < 2.5 +x
Subtract 2.5 from each side
4.4 -2.5 < 2.5+x-2.5
1.9 <x
She needs to crochet at least 1.9 more ft
I don't know if I did this right.
There are 1097.6 pages in the book. I multiplied .35 by 56 and got 19.6. I multiplied 19.6 by 56 and got 1097.6. Therefore, there are 1097.6 pages in the book.
Answer:
Step-by-step explanation:
The formula of a surface area of a ball (sphere):
R - radius
We have R = 15in. Substitute:
If you want to get an approximation, then:
