9514 1404 393
Answer:
4 days
Step-by-step explanation:
The total charges can be modeled by ...
c = 75d + 75 . . . . . . charges for d days
Filling in the given charge, we find ...
375 = 75d +75
300 = 75d . . . . . . . subtract 75
4 = d . . . . . . . . . . divide by 75
Chris rented the car for 4 days.
Answer:
The value of c = -0.5∈ (-1,0)
Step-by-step explanation:
<u>Step(i)</u>:-
Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]
<u> Mean Value theorem</u>
Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that

<u>Step(ii):</u>-
Given f(x) = 4x² +4x -3 …(i)
Differentiating equation (i) with respective to 'x'
f¹(x) = 4(2x) +4(1) = 8x+4
<u>Step(iii)</u>:-
By using mean value theorem


8c+4 = -3-(-3)
8c+4 = 0
8c = -4

c ∈ (-1,0)
<u>Conclusion</u>:-
The value of c = -0.5∈ (-1,0)
<u></u>
Answer:
x = 10
Step-by-step explanation:
We know that is a right angle which is 90 degrees.
we know one angle is 30 degrees.
So take 90- 30 = 60
now we solve for 6x
6*10 = 60 and 60+30=90
x = 10
Answer:
The percent increase of the second year is 400%.
Step-by-step explanation:
Consider the provided information.
Let the population of birds was x.
After 2 years the population becomes 7 times more than before.
Therefore, after 2 years population is 7x.
In first year increase in the population was 40%.
Population after 1st year = x + 40% of x
Population after 1st year = x + 0.40x
Population after 1st year = 1.4x
The population increase from 1st year to 2nd year is: 7x-1.4x=5.6x
Thus the percentage increase is:

Hence, in second year the population of birds increase by 400%.
Answer:
A,D,F
Step-by-step explanation:
if he drives 90 in 2 hours then in one hour its 45. 45 times 2 is 90. 45 times 3 is 135. 45 times 4 is 180. 45 times 5 is 225. 45 times 6 is 270. 45 times 7 is 315. and 45 times 8 is 360.