<span>The domain of the function can be obtained by pluging the values of the range into f(x), i.e domain = {k^2 + 2k + 1 = 25, k^2 + 2k + 1 = 64} = {k^2 + 2k - 24 = 0, k^2 + 2k - 63 = 0}. Solving the two quadratic equations, we have that the range is {-9, -6, 4, 7}.I hope that my answer is helpful! Let me know if you need something more :)</span>
<span>The constant rate of change is 30 seconds because:
1 mile=30 seconds
2 miles=1 minute
3 miles=1 minute and 30 seconds
4 miles=2 minutes
5 miles=2 minutes and 30 seconds
or in other words 2.5</span>
Answer:
<h2>x = 12</h2>
Step-by-step explanation:
ΔADC and ΔCDB are similar (AA). Therefore the sides are in proportion:

We have AD = 16, DC = x, DB = 9. Substitute:
<em>cross multiply</em>

If Ken wants to pay more than 130, he needs to drive more than 90 miles. You subtract 94 from 130, which equals 36. 36 divided by .4 (for the price per mile) and it equals 90.
Answer:
Height of the kite = 36 feet
Step-by-step explanation:
Triangle attached in the figure shows the complete picture,
I am sitting at point A, string connecting the kite and me is side AC, height of the kite from the ground is side BC and side AB representing the distance between me and the kite.
Length of side BC = h
Length of side AC = 39 feet
Length of side AB = 15 feet
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(39)² = (15)² + h²
h² = 1521 - 225
h² = 1296
h = √1296
h = 36 feet
Therefore, kite is at 36 feet height.