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)
To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.
Divide: 4(/7) / 2 = 4/7 · 1/2 = 4*1/ 7*2 = 4/14 = 2/7
Answer:
It is A
Step-by-step explanation:
Equation: 5x+1=9+3x
5x+1=9+3x
-1 -1
_________
5x=8+3x
-3x -3x
________
2x=8
__ __
2 2
<h2><u><em>
x=4</em></u></h2>
A=3,500×(1+0.0485÷4)^(4×11)
A=5,947.99
6000=3500(1+0.0485/4)^4t
Solve for t to know the time needed to reach 6000
Time=11.2
So the time needed is 11 years and 2 months
Answer:
92 miles
Write an inequality for the total cost of the rental.
Cost of the rental = 19.50+0.25x<=44
where x is the number of miles driven.
Subtract 19.50 from both sides.
0.25x<=44-19.50
0.25x<=24.5
x<=24.5/0.25
x<=98
Step-by-step explanation:
