Answer:
x = 1.
Step-by-step explanation:
![\frac{1}{3}(6x-3)-\frac{1}{4}(20x+8)=-6\\\\[Distribute the first fraction into the parenthesis.]\\((\frac{1}{3}*6x)-(\frac{1}{3}*3))-\frac{1}{4}(20x+8)=-6\\\\2x-1-\frac{1}{4}(20x+8)=-6\\\\[Distribute the second fraction into the parenthesis.]\\2x-1-((\frac{1}{4}*20x)+(\frac{1}{4}*8))=-6\\\\2x-1-5x-2=-6\\\\[Combine like terms.]\\-3x-3=-6\\\\[Add 3 to both sides.]\\-3x=-3\\\\[Divide both sides by -3.]\\x=1](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%286x-3%29-%5Cfrac%7B1%7D%7B4%7D%2820x%2B8%29%3D-6%5C%5C%5C%5C%5BDistribute%20the%20first%20fraction%20into%20the%20parenthesis.%5D%5C%5C%28%28%5Cfrac%7B1%7D%7B3%7D%2A6x%29-%28%5Cfrac%7B1%7D%7B3%7D%2A3%29%29-%5Cfrac%7B1%7D%7B4%7D%2820x%2B8%29%3D-6%5C%5C%5C%5C2x-1-%5Cfrac%7B1%7D%7B4%7D%2820x%2B8%29%3D-6%5C%5C%5C%5C%5BDistribute%20the%20second%20fraction%20into%20the%20parenthesis.%5D%5C%5C2x-1-%28%28%5Cfrac%7B1%7D%7B4%7D%2A20x%29%2B%28%5Cfrac%7B1%7D%7B4%7D%2A8%29%29%3D-6%5C%5C%5C%5C2x-1-5x-2%3D-6%5C%5C%5C%5C%5BCombine%20like%20terms.%5D%5C%5C-3x-3%3D-6%5C%5C%5C%5C%5BAdd%203%20to%20both%20sides.%5D%5C%5C-3x%3D-3%5C%5C%5C%5C%5BDivide%20both%20sides%20by%20-3.%5D%5C%5Cx%3D1)
Standard quadratic equation .. y = a x^2 + b x + c
<span>parabola 'a' not equal to zero </span>
<span>a<0 parabola opens downward </span>
<span>a>0 parabola opens upward </span>
<span>when |a| >>0 the parabola is narrower </span>
<span>when |a| is close to zero , the parabola is flatter </span>
<span>when the constant is varied it only effects the vertical position of the parabola , the shape remains the same</span>
Answer: -2
Step-by-step explanation: This equation is written in <em>y = mx + b </em>form.
The slope is the multiplier or the coefficient of
the x-term whcih in this case is -2/
Answer:
The equation for new function is 
Step-by-step explanation:
We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.
If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.
We have below conditions for vertical stretch and compression.
a > 1 => vertically stretch
0 < a < 1 => vertically compression
Hence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3
Therefore, the equation for new function is 
Answer:
990
Step-by-step explanation:
99+88+77+66+55+44+33+22+11+11+22+33+44+55+66+77+88+99=990