Answer:
9
Step-by-step explanation:
The absolute value of any number is just its distance from 0.
-4 is 4 away from 0, so its absolute value is 4.
-5 is 5 away from 0, so its absolute value is 5.
Therefore, the equation is basically just asking what is 4 + 5, which is 9 :D.
There is no solution
I put it in an online calculator and it said that as well
The quadratic function given by:
is in vertex form. The graph of
is a parabola whose axis is the vertical line
and whose vertex is the point
. So:
To translate the graph of a function to the right, left, upward or downward we have:

By knowing this things, we can solve our problem as follows:
FIRST.
- Translating <em>11 units to the left:</em>

- Then translating<em> 5 units down:</em>

Since the new function is fatter, the factor we need to multiply the term
<em>must be</em> less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.
<em>Therefore, the right answer is </em><em>b. f(x) = 1/2(x + 11)^2 - 5</em>
SECOND.
- Translating <em>8 units to the right:</em>

- Then translating<em> 1 unit down:</em>

As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.
<em>Therefore, the right answer is </em><em>a. g(x) = 1/3(x - 8)^2 - 1</em>
Answer:
21,800
Step-by-step explanation:
Because 475 x 8 equals 3800 you add 3800 to 18,000 and get 21,800
-24 - 4(x + 2) = 4x Use the Distributive Property
-24 - 4x - 8 = 4x Combine like terms (-24 and -8)
-32 - 4x = 4x Add 4x to both sides
-32 = 8x Divide both sides by 8
-4 = x Switch the sides to make it easier to read
x = -4