Ya got to go $660 + 7% hours later on $450 hours later 00.578 to finish
Step-by-step explanation:
RP = 67.7 feet
<span>2x − 3 < x + 2 </span>
<span>∴ x − 3 < 2 </span>
<span>∴ x < 5 </span>
<span>x + 2 ≤ 3x + 5 </span>
<span>∴ 2 ≤ 2x + 5 </span>
<span>∴ -3 ≤ 2x </span>
<span>∴ -3/2 ≤ x </span>
<span>-3/2 ≤ x < 5</span>
Answer:
vertex = (-4, 5)
Step-by-step explanation:
In general, the graph of the absolute value function f(x) = a|x - h| + k will have its lowest value when f(x) = k (or highest value for f(x) = -a|x - h| + k). The lowest/highest value is the vertex (turning point).
Therefore, from inspection of the equation we can say that the y-coordinate of the vertex is 5.
Set the equation to 5 and then solve for x:
⇒ 5 = 1/2 |-X – 4| + 5
⇒ 1/2 |-X – 4| = 0
⇒ |-X – 4| = 0
Therefore, (-X - 4) = 0 and -(-X - 4) = 0
⇒ X = -4 (for both)
So the vertex is (-4, 5)
<u>Translations</u>
Absolute value parent function: f(x) = | -x |
Horizontal translation left 4 units: f(x) = |-x - 4|
Horizontal stretch of sf 1/2: f(x) = 1/2 |-x - 4|
Vertical translation up 5 units: f(x) = 1/2 |-x - 4| + 5
