Step-by-step explanation:
Just graph it and see if the descriptions fit the graph
(see attached)
A. We can see from the graph that the possible x-values are -∞ ≤ x ≤ +∞ . Hence limiting to domain to x≤ -2 this is obviously not true.
B. We can see from the graph that the vertex is y = 6 and that the entirety of the graph is under this point, hence range y<6 is true
C. We can see that the vertex is located at x=-2. Every part of the graph to the left of this point has a positive slope, hence the function is increasing for negative infinity to this point x=-2 is true
D) We can see that for the interval -4<x<∞, the graph actually increases between -4<x<-2, and then decreases after that. Hence this statement is not true.
E. it is obvious that the y intercept is y=2 which is positive. Hence this is true.
M(x) = x² - 4x + 3
m(x) = x² - x - 3x + 3
m(x) = x(x - 1) - 3(x - 1)
m(x) = (x - 3)(x - 1)
(x - 3)(x - 1) = 0
x - 3 = 0 ∧ x - 1 = 0
<u>x = 3 ∧ x = 1</u>
or
m(x) = x² - 4x + 3
Δ = (-4)² - 4 · 1 · 3
Δ = 16 - 12 = 4
√Δ = √4
√Δ = 2
x = (4 - 2)/2 ∧ x = (4 + 2)/2
x = 2/2 ∧ x = 6/2
<u>x = 1 ∧ x = 3</u>
(-x+3) - (x-5) ,.................,.,.,.,.,.,.,.,.......,.,.,.,..
FromTheMoon [43]
Answer:
-2x+8
Step-by-step explanation:
(-x+3)-(x-5)
= -x+3-x+5
= -2x+8
10% raise
hmm
find his amount earned first
15.5 per hour
15.5 times 35=542.5
10% more is times 1.10
542.5 times 1.10=596.75
5% is deducted for tax
100-5=95
596.75 times 0.95=566.9125
now add 200
766.9125
round
$766.91 is his check