Answer:
The relationship between the graphs of the two functions is "They are reflections of each other across the y-axis" ⇒ B
Step-by-step explanation:
- If the function f(x) reflected across the x-axis, then the new function g(x) = - f(x), which means the signs of the y-coordinates of the points on f(x) are opposite in g(x)
- If the function f(x) reflected across the y-axis, then the new function g(x) = f(-x), which means the signs of the x-coordinates of the points on f(x) are opposite in g(x)
∵ The points on f(x) are (-2, -31), (-1, 0), (1, 2), (2, 33)
∵ The points on g(x) are (2, 3), (1, 0), (-1, 2), (-2, 33)
∵ All x-coordinates on f(x) multiplied by -1 to get the x-coordinates of g(x)
→ By using the 2nd rule above
∴ g(x) is the image of f(x) after reflection across the y-axis
∴ The relationship between the graphs of the two functions is
"They are reflections of each other across the y-axis"
We will transform the equation to the vertex form:
y = x² + 8 x + 12 = x² + 8 x + 16 - 16 + 12 =
= ( x + 4 )² - 4
Vertex form is: y = a ( x - k )² + h
Vertex coordinates are: ( - 4, - 4 ).
Tammy was taller at age 9, as she was 3.68 inches taller than Leslie.
<h3><u>Equations</u> </h3>
Given that Tammy can model her height using the equation, y = 2.2x + 35.5, where y represents her height at x years of age, while Leslie measured 50 inches at age 9, to determine who was taller at that age one must perform the following calculation:
- Leslie = 50
- Tammy = 2.2 x 9 + 35.5 = 18.18 + 35.5 = 53.68
Therefore, Tammy was taller at age 9, as she was 3.68 inches taller than Leslie.
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Answer:
44
Step-by-step explanation:
5x8=40+4=44
Answer:
$2,928
Step-by-step explanation:
Using the equation below, note that for days in which she worked more than
hours, we will be multiplying the number hours worked over
hours by 
× 
Let
equal hours less than or equal to 
Let
equal the number of hours worked over
hours.
Let
equal gross earnings.
Start with an equation:

Monday:

Tuesday:

Wednesday:

Thursday:

Friday:

Saturday:

Now, total the gross earnings of each day.

Solve.
