A: Looking at the last two rows of the table of f(x), the slope is simply (3-0)/(1-0) = 3, while the slope of g(x) is the coefficient of the variable x, which is 7.
B. y-int is the y value when x = 0. f(x) has a y-int of 0, which g(x) is 2. The latter has a greater y-int.
Answer:
The answer all together would be 5 minus n.
Step-by-step explanation:
a negative and a positive equals a positive so -1/2 + 1 1/2 would equal 2 and 2 + 3 equals 5. Then, the remaining numbers are 5 and n. The final answer is 5 minus n because n is unknown.
<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>
<span>A = P (1 + r/n)<span> (nt)
</span></span>A<span> = the future value of the investment</span>
P<span> = (the initial deposit or loan amount)</span>
r<span> = the annual interest rate (decimal)</span>
n<span> = the number of times that interest is compounded per year</span>
t<span> = the number of years the money is invested
</span>
Answer:
The mom ate a cup and a half of food
Step-by-step explanation: