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)
F^-1 (x) = 2x + 12 hope it help
Answer:
-15/2 or -7.5 or -7½
Negative StartFraction 15 Over 2 EndFraction
Step-by-step explanation:
Slope or gradient of a line is the ratio of change in y co-ordinates to the change in x co-ordinates.
Therefore;
M=∆y÷∆x
The change in y co-ordinates is given by
∆y=y2-y1
Similarly, change in x co-ordinates is given by
∆x=x2-x1
Given the two points as (5, 80) and (7, 65)
X1=5 Y1=80
X2=7 Y2=65
∆y=65-80=-15
∆x=7-5=2
Hence ∆y÷∆x will be -15÷2=-7.5 or -7½
Negative StartFraction 15 Over 2 EndFraction
The answer is 60.
4x + 12 + x + x =180
solve for x. solve for d. Now you can find angle c.
Answer:
40/13 hours
Step-by-step explanation:
Let 1 represent the room being painted.
1/5 would represent 1/5 of a room painted in 1 hour.
1/8 would represent 1/8 of a room being painted in 1 hour
But they are are working together so
(1/5)x + (1/8)x = 1
The lowest common denominator is 5 * 8 = 40
[(1/5)x * 40 + (1/8)x * 40] = 1
8x + 5x = 40
13x = 40
x = 40/13
x = 3.077 hours
But you want a fraction as your answer so it is 3 1/13 or 40/13
You should notice that 3.077 is smaller than the lowest amount of time both of them use. That always happens with these questions.