Answer: u = 8
Step-by-step explanation:
We need to get the variable by itself first. In this case the variable is u.
u is really just mutliplied by -4, (-4 x u). In this situation, the opposite of multiplication is division. So, we need to divide -4u by -4 on each side.
-32 = -4u
-32/-4 = -4u/-4
8 = u
u = 8
Answer:
Step-by-step explanation:
![\frac{1}{3} (x+3)+4=-4+\frac{2}{3} x\\multiply~by~3\\x+3+12=-12+2x\\x-2x=-12-3-12\\-x=-27\\or~x=27\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%28x%2B3%29%2B4%3D-4%2B%5Cfrac%7B2%7D%7B3%7D%20x%5C%5Cmultiply~by~3%5C%5Cx%2B3%2B12%3D-12%2B2x%5C%5Cx-2x%3D-12-3-12%5C%5C-x%3D-27%5C%5Cor~x%3D27%5C%5C)
or if it is
![\frac{1}{3} (x+3)+4=-4+\frac{2}{3x}\\ multiply~by~3x\\x(x+3)+12x=-12x+2\\x^2+3x+12x+12x=2\\x^2+27x-2=0\\x=\frac{-27 \pm \sqrt{(27)^2-4*1*-2} }{2*1} \\or~x=\frac{-27 \pm \sqrt{729+8} }{2} \\or~x=\frac{-27 \pm\sqrt{737} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%28x%2B3%29%2B4%3D-4%2B%5Cfrac%7B2%7D%7B3x%7D%5C%5C%20multiply~by~3x%5C%5Cx%28x%2B3%29%2B12x%3D-12x%2B2%5C%5Cx%5E2%2B3x%2B12x%2B12x%3D2%5C%5Cx%5E2%2B27x-2%3D0%5C%5Cx%3D%5Cfrac%7B-27%20%5Cpm%20%5Csqrt%7B%2827%29%5E2-4%2A1%2A-2%7D%20%7D%7B2%2A1%7D%20%5C%5Cor~x%3D%5Cfrac%7B-27%20%5Cpm%20%5Csqrt%7B729%2B8%7D%20%7D%7B2%7D%20%5C%5Cor~x%3D%5Cfrac%7B-27%20%5Cpm%5Csqrt%7B737%7D%20%7D%7B2%7D)
B is the answer.
The slope i got for the table is -1 because i divided -2 by 2.
The slope i got for the graph was 0 because 0/7 is 0.
-1 < 0
Okay, just break it up so you're not overwhelming yourself or anything :)
So here, do it in steps-
Let's do 5(3 + t) first:
Distribute the 5, or in non-mathematical terms, just multiply 5 by 3 and t. This will give you 15 + 5t.
Now onto -3(t + 1):
Again, just multiply -3 by t and 1. This will come out to: -3t - 3.
*Note: the 3 is negative because it's "MINUS 3" in the original equation and remember that any number times a negative, if it isn't negative itself, will turn out to be negative.... (aka "-" x "-" = "+" | "+" x "+" = "+" | "-" x "+" = "-")*
ANYWAY
Now just put both answer together and you get:
15 + 5t -3t - 3. You can only add and minus the LIKETERMS (which are the things that are the same) - in this case, the liketerms are 15 and -3 ,,,, AND 5t and -3t.
15 - 3 = 12
5t - 3t = 2t
12 + 2t is your final answer. Hope that helps! :)