<span>f(x) = –2/9x + 1/3
</span>y -intercept when x = 0
so
f(x) = –2/9(0) + 1/3 then f(x) = 1/3
answer
<span>y-intercept </span>(0, 1/3)
1 gallon (it’s stayed in the question)
Answer:
A.) 90 clockwise
E.)270 Counter Clockwise
Step-by-step explanation:
A.) Ro, -90 Rotation about the origin (0,0) 90° clockwise
(x, y) ⇒ (y, -x)
(-1, 5) ⇒ (5, 1)
E.) Ro, 270 Counter Clockwise
(x, y) ⇒ (y, -x)
(-1, 5) ⇒ (5, 1)
<span>Answer:
Roma Sherry drove 330 miles from her hometown to Tucson. During her return trip, she was able to increase her speed by 11 mph. If her return trip took 1 hour less time, find her original speed and her speed returning home.
:
Let s = original speed
then
(s+11) = return speed
:
Write a time equation: Time = distance%2Fspeed
:
Original time = return time + 1 hr
330%2Fs = 330%2F%28%28s%2B11%29%29 + 1
:
Multiply equation by s(s+11) and you have:
330(s+11) = 330s + s(s+11)
:
330s + 3630 = 330s + s^2 + 11s
:
0 = 330s - 330s + s^2 + 11s - 3630
:
A quadratic equation:
s^2 + 11s - 3630 = 0
Factor this to:
(s + 66)(s - 55) = 0
Positive solution
s = 55 mph is original speed.
:
Find the time
330/55 = 6 hr, original time
and
330/66 = 5 hrs, faster time; confirms our solution.</span>
