Answer:
D
Step-by-step explanation:
first of all we need to solve the inequalities
(-∞,1] or ]-∞,1]
the second inequality is
[2,∞) or [2,∞[
so the answer is D
Answer:
-5/6= -0.8333
And
8/3=2.67
On the number line they will be
Answer:
$110
Step-by-step explanation:
We are looking for the decrease in money per desk purchased. Because the x-axis is the number of desks purchased, what we have to find is the (opposite) of the slope. The formula to represent slope can be written as:
![\frac{y_{2} -y_{1} }{x_{2}- x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D%20-y_%7B1%7D%20%7D%7Bx_%7B2%7D-%20x_%7B1%7D%20%7D)
We can substitute the points given, (2, 480) and (5, 150) and simplify:
![\frac{150-480}{5-2} =\frac{-330}{3} = -110](https://tex.z-dn.net/?f=%5Cfrac%7B150-480%7D%7B5-2%7D%20%3D%5Cfrac%7B-330%7D%7B3%7D%20%3D%20-110)
We would multiply by -1 because we are asking for the decrease, and negative increase is decrease. -1 * -110, gives us $110
The answer would be B C E hope this helps :)
![{x}^{2} + 4x - 4 = 8 \\ = > {x}^{2} + 4x - 4 - 8 = 0 \\ = > {x}^{2} + 4x - 12 = 0 \\ = > {x}^{2} + 6x - 2x - 12 = 0 \\ = > x(x + 6) - 2(x + 6) = 0 \\ = > (x - 2)(x + 6) = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 6](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20-%204%20%3D%208%20%5C%5C%20%20%3D%20%20%3E%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20-%204%20-%208%20%3D%200%20%5C%5C%20%20%3D%20%20%3E%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20-%2012%20%3D%200%20%5C%5C%20%20%3D%20%20%3E%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%206x%20%20-%202x%20-%2012%20%3D%200%20%5C%5C%20%20%3D%20%20%3E%20%20x%28x%20%2B%206%29%20-%202%28x%20%2B%206%29%20%3D%200%20%5C%5C%20%20%3D%20%20%3E%20%28x%20-%202%29%28x%20%2B%206%29%20%3D%200%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%202%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20x%20%3D%20%20-%206%20)
<u>Answer</u><u>:</u>
x = -6 or x = 2
Hope you could get an idea from here.
Doubt clarification - use comment section.