Answer:
1. 0, 2. -1/2, 3.undefined, 4. -5/3, 5. 6, 6. -2, 7. 23/17
Step-by-step explanation:
y2 - y1 / x2 - x1
1. -18 - -18 / 15 - 6 = 0
2. 16 - 12 / 0 - 8 = -4/8 = -1/2
3. 37 - 2 / -15 - -15 is undefined (can't have 0 as denominator)
4. 30 - 20 / -5 - 1 = 10 / -6 = -5/3
5. -36 - -12 / 4 - 8 = -24 / -4 = 6
6. - 23 - -15 / 11 - 7 = -8 / 4 = -2
7. 100 - 54 / -38 - -72 = 46 / 34 = 23/17
Answer:
The third one
Step-by-step explanation:
It can't be the first one since the peak is 4 since it is the highest
It can't be the second one because the data is all different
It could be the third one since their are gaps
And It can't be the fourth one because the range is 7
So it must be the third one
Answer:
x = 4i, − 4i
Step-by-step explanation:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x
x = 4i, − 4i
Absolute value is a number's distance away from 0. So, all answers are positive. -4/25 is 4/25's away from 0, so your answer is -4/25. To clarify: if you have the absolute value of ANY number, it will always be the positive version of itself.
<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>
