Use the distributive property to multiply 3 by x−4.
Subtract 5x on both sides.
Combine 3x and −5x to get −2x.
Add 12 to both sides.
![\boldsymbol{\sf{-2x > 2+12 \ \longmapsto \ \ [Add \ 2 +12]}}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-2x%20%3E%202%2B12%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5BAdd%20%5C%202%20%2B12%5D%7D%7D)
Divide both sides by −2. Since −2 is < 0, the inequality direction is changed.
![\boldsymbol{\sf{x < \dfrac{14}{-2} \ \ \longmapsto \ \ \ [Split]}}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7Bx%20%3C%20%5Cdfrac%7B14%7D%7B-2%7D%20%5C%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5C%20%5BSplit%5D%7D%7D)
So in the <u>inequality 3(x-4)>5x +2</u>, the value of x is -7.
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Answer:
28
Step-by-step explanation:
2x-3y+z=-3 , x-5y+7z=-11 , -10x+4y-6z=28
The answer is C. AB. The total line segment is ACB, or AB, because C is in between A and B. If you are adding AC and CB together, you are adding the two parts of the line together.
I hope this helps :)
Answer:
arcLP = 19
Step-by-step explanation:
Given the following
arcLM = 8x-56
arcNP = 5x+22
Required
arcLP
Given that arcLM = arcNP
8x-56 = 5x+22
8x - 5x = 22 + 56
3x = 78
x = 78/3
x = 26
Let assume arcLP = x - 7
arcLP = 26 -7
arcLP = 19
Answer:
real risk-free rate = 2.7 %
Step-by-step explanation:
Given data
Treasury bonds yield r = 5%
time = 5 year
(IP) = 1.9%
MRP = 0.4%
to find out
real risk-free rate r*
solution
we will find real risk-free rate r* by the given formula that is
Treasury bonds yield = real risk-free rate + IP + MRP + default risk premium + liquidity premium
so here default risk premium and liquidity premium both are zero
put all the other value we get real risk-free rate
real risk-free rate = 5% - 1.9 % - 0.4%
real risk-free rate = 2.7 %
