Answer:
–√(7) must also be a root of f(x)
Step-by-step explanation:
Given that the roots of an equation is 3 and √(7). This means that x = 3 or √(7). Therefore, the function is definitely going to be:
f(x) = (x – 3)(x² – 7)
This is because we are dealing with √(7) and what brought about √(7) was x² = 7.
If this is the case, we know that x² = 7 will give
x = ±√(7)
Hence, our roots are x = 3 or √(7) or –√(7). Therefore, –√(7) must also be a root of f(x).
Answer:the distance between the two cities is 100 miles
Step-by-step explanation:
Let x represent the distance between New York and Philadelphia.
Let t represent the time it takes to travel from New York to Philadelphia at 50 mph
Distance speed × time
time = distance/speed
To travel from New York to Philadelphia at 50 mph,
x = 50t
it takes 20 more minutes than to travel the same distance at 60 mph. Converting 20 minutes to hours, it becomes 20/60 = 1/3 hours. This means that
x = 60(t - 1/3) = 60t - 20
Since the distance is the same,
60t - 20 = 50t.
60t - 50t = 20
10t = 20
t = 20/10 = 2
Therefore
x = 50t = 50 × 2 = 100 miles
Answer:
13.31803792
Step-by-step explanation:
<u>Law of Cosines</u>
a= 8
b= 18
c= ?


c = 64 + 324 - 2 * 8 * 18 * cos(43)
cos(43) = 0.7313537016
<u>Order of Operations</u>
64 + 324 - 2 * 8 * 18 * 0.7313537016 = 177.3701339
<u>Square Root the answer</u>
= 13.31803792
Hence It will take 12.88 years for the account value to reach 17600 dollars.
Answer:
The height is increasing at the rate of 0.26 ft/min
Step-by-step explanation:
Explanation with steps is in the following attachment