x/3 = 5
If you multiply both sides by 3, you get
x = 15
Answer:
use area to solve it
Step-by-step explanation:
.Answer:
The rate of change for y=x+6 is less than the slope of the line represented by the table.
Step-by-step explanation:
First let's look at our equation:

This equation is written in slope-intercept form:

Where m is the slope of the line and b represents the y-intercept.
Therefore in our equation:

Our slope is 1 (invisible 1 in front of x since 1 times x is x) and it also has a y-intercept of -6.
Next let's look at our table and choose any two points. In this case I choose (0,-5) and (5,10). It doesn't matter which two you decide to choose. Now, let's calculate the slope of this line by using the following equation.

and so the line that the table represents is more than to y=x-6. Furthermore, the equation for the table is y=3x-5, this is because (0,-5) is the y-intercept for this line.
Answer: g(x) = (x-2)^2 - 6
Step-by-step explanation: The graph of x^2 is a parabola opening downward. The (x+1) stands for 1 unit to the left and -7 is 7 units down. Once you have graph f(x) = (x+1)^2-7, there you should be able to graph g(x)=(x-2)^2-6. From there, its asks to go 3 units right which gives (x-2) and 1 unit up which gives -6.
(x+1) is x=-1 and (x-2) = 2.
Hope this helps.
Answer:
Step-by-step explanation:
<h3>Given</h3>
<u>Quadratic function </u>
with the roots:
<h3>To find </h3>
<h3>Solution</h3>
<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>
- (-5 + 9i) + (-5 - 9i) = -b/-1
- -10 = b
- b = -10
And
- (-5 + 9i)(-5 - 9i) = c/-1
- (-5)² - (9i)² = -c
- 25 - 81(-1) = -c
- - c = 25 + 81
- - c = 106
- c = -106
g(x) = -x² -10x - 106