First, rewrite the equation, separating the terms inside the parentheses and multiplying each by the term preceding the parenthesis, remembering that the product of two negatives is a positive, and likewise (later) with quotients:
(-3 * 12) + (-3 * (-m)) = (-1 * m) + (-1 * (-8))
-36 + 3m = -m + 8
Subtract 8 from both sides:
(-36 - 8) + 3m = -m + (8 - 8)
-44 + 3m = -m
Divide each term by -m:
(-44 / (-m)) + (3m / (-m)) = -m / (-m)
(44 / m) - 3 = 1
Add 3 to both sides:
(44 / m) - 3 + 3 = 1 + 3
44 / m = 4
(is the answer jumping out at you yet?) :-)
Multiply both sides by m:
(44 / m) * m = 4m
44 = 4m
Divide both sides by 4:
44 / 4 = m
11 = m
Verify by substituting for m in the original equation:
-3(12 - m) = -1(m - 8)
-3(12 - 11) = -1(11 - 8)
-3(1) = -1(3)
-3 = -3
Voila! That's it!
I can't really draw it because I don't have pen and paper but here goes:
Let's pretend it says Y = -4x-1
We have a downward (-4) slope that crosses the Y axis at -1
Now we're looking for Y < -4x-1
So let's pick a coordinate and plug it into the equation. You can pick from anywhere on the grid as long as it's not on the line we just drew (so pick something above or below the line).
Plug in the coordinates
(I picked (0, -5) because it will probably be easy to calculate, since it's on the Y axis)
Y < -4x-1
(-5) < -4(0)-1
-5 < -1
The statement -5 < -1 is true, so you want to shade in everything on the grid below the line, since (0, -5) is below the line (if the statement was false, then we would be shading above the line).
False. The tangent line at that point is a vertical line.
Answer:
$342
Step-by-step explanation:
816/2 = 408
408-66=342
Answer:
Step-by-step explanation:
Probability of drawing a blue marble
= Number of blue Marble/ Total number of marble
= 5 / 4 + 5 + 6
= 5 / 15
= 1/3
Probability of taking another blue marble without replacing the first one
= Number of blue marble - 1 / Total number of marble - 1
= 5 - 1 / 15 - 1
= 4 / 14
= 2/7