Answer:
B. y = |2x| - 2.
Step-by-step explanation:
If we start with y = 2x:
this passes through the origin and has a slope of 2.
y = |2x| means the absolute ( positive) values only, so the part of the line below the x axis is reflected in the axis to form a V shaped graph.
So we have a V shaped graph with the vertex at (0, 0).
Then -2 brings the vertex from (0, 0) to (0 -2) so we get:
y = |2x| - 2.
Answer:
(89.10+10.62)/18 =
(99.72)/18 =
= 5.54
Verification:
5.54*18 = 99.72
how much does each
person owe on average? $5.54
Step-by-step explanation:
The cubic function is f(x) = x^3
You need to perform three transformations to the cubic function to obtain
f(x) = - (x + 2)^3 - 5.
Those transfformations are:
1) Shift f(x) = x^3, 2 units leftward to obtain f(x) = (x + 2)^3
2) reflect f(x) = (x + 2)^3 across the x-axis to obtain f(x) = - (x + 2)^3
3) shift f(x) = - ( x + 2) ^3, 5 units downward to obtain f(x) = - (x + 2)^3 - 5
The Length of the Given Sign = 90 inches
The Side of the Triangle can be found by Pythagorean Theorem
⇒ (Side of the Triangle)² = 40² + 30²
⇒ (Side of the Triangle)² = 1600 + 900
⇒ (Side of the Triangle)² = 2500
⇒ (Side of the Triangle) = 50
⇒ Perimeter of the Given Sign = (4 × Side of Triangle) + (2 × Length)
⇒ Perimeter of the Given Sign = (4 × 50) + (2 × 90)
⇒ Perimeter of the Given Sign = (200 + 180) = 380 in
