5 and 6 (5 being the square root of 25 and 6 being the square root of 36, which are the closest perfect squares)
T
adds 6
t-6
divides by 6
(t-6)/6
shawn
7+t
divide by 7
(7+t)/7
theyare equal
(t-6)/6=(7+t)/7
times 42 both sides
7(t-6)=6(t+7)
distribute
7t-42=6t+42
minus 6t both sides
t-42=42
add 42 both sides
t=84
Answer:
The answer is "
"
Step-by-step explanation:
Given values:

Using formula:

Put the values in the above formula:

You can simply collect terms, subtract the constant and divide by the x-coefficient. It is generally considered easier to do those steps if you eliminate fractions first (multiply by 12).
Multiply by 12
... 4(x -1) +3(x +5) = 6
... 4x -4 +3x +15 = 6 . . . . . eliminate parentheses
... 7x +11 = 6 . . . . . . . . . . . .collect terms
... 7x = -5 . . . . . . . . . . . . . . subtract the constant 11
... x = -5/7 . . . . . . . . . . . . . divide by the x-coefficient
_ _ _ _ _ _ _
Here it is the other way.
... x(1/3 +1/4) +(-1/3 +5/4) = 1/2
... (7/12)x + 11/12 = 1/2 . . add the fractions to finish collecting terms
... x + 11/7 = 6/7 . . . . . . . multiply by 12/7
... x = -5/7 . . . . . . . . . . . subtract 11/7
At the third step here, you could subtract 11/12 before doing the multiply. You get the same answer, but you have to do the extra conversion of 1/2=6/12.
Answer:
x > -3 and y ≥ 1/2x - 2
Step-by-step explanation:
blue line = x > -3
red line = pass (0, -2) (4, 0)
y = 1/2x - 2
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