Answer:
The function h(x) is decreasing on the interval (3, ∞).
Step-by-step explanation:
Please take a look at the attached image.
You will see a graph of the given function h(x) = -2
. The function is decreasing.
The function starts at 3 and starts to go towards negative infinity on the x-axis. Therefore the function is decreasing on the interval (3, ∞).
Answer:
x = 1.5
Step-by-step explanation:
Since the axis of symmetry is between the 2 x intercepts, we can find it by finding the average of the x-coordinates of the 2 points.
(-7 + 10) / 2
3/2
= 1.5
So, the axis of symmetry is at x = 1.5
Answer:
m = 44
Step-by-step explanation:
USe the pythagoream thyroem a^2 + b^2 = m^2. so 10^2 + m = 12^2
or 100 + m = 144. subtract 100 from both sides, you get m = 44
Answer: -7/3≤t≤5/3
Step-by-step explanation:
|2t + 2/3|≤4
2t + 2/3≤4
(2t + 2/3≤4)*3
6t+2≤12
6t≤10
t≤10/6
<u>t≤5/3</u>
2t + 2/3>=-4
(2t + 2/3>=-4)*3
6t + 2>=-12
6t>=-14
t>=-14/6
<u>t>=-7/3</u>
-7/3≤t≤5/3