To find equivalent inequalities you have to work the inequality given.
The first step is transpose on of sides to have an expression in one side and zero in the other side:
x - 6 x + 7
--------- ≥ --------
x + 5 x + 3
=>
x - 6 x + 7
--------- - -------- ≥ 0
x + 5 x + 3
=>
(x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
(x + 5) (x + 3)
=>
x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
(x + 5) (x + 3)
15x + 53
- ------------------- ≥ 0
(x + 5) (x + 3)
That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
3m + 2n= p solve for n
subtract 3m on both sides
2n = p - 3m
divide both sides by 2
n = p/2 - 3m/2
-----------------------
xy - 5 = k solve for x
add 5 on both sides
xy = k + 5
divide both sides by y
x = k/y - 5/y
Answer and Step-by-step explanation:
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Answer:
Step-by-step explanation:
Slope is negative reciprocal when two lines are perpendicular
m1=1/2 therefore m2=-2
The equation of the line in point-slope form is given as
Here m=-2 and (x1, y1)=(-3, -1)
Therefore,
The digital time for quarter past three is 3:15, it is 15 minutes past 3 o'clock.
