Answer: (0,-1) and (1/3,0)
Step-by-step explanation:
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)
Answer: 6 blocks
Step-by-step explanation:
Given
Volume of the rectangular prism is 
Length of the cubic block is 
Volume of each cubic block is
Suppose, n blocks are required to measure the volume of Prism
Thus, 6 blocks are required to measure the volume of prism.
Each food bank would receive 264 cans.
44 Bins with 24 cans. 44•24= 1,056
n= (44•24) / 4
n= 1,056 / 4
n= 264 cans per food bank
