Answer:
a) C(d) = 37.95 + 0.62d
b) C(74) = 37.95 + 0.62(74)
83.8 dollars
c) 8181 miles
Step-by-step explanation:
The company charges a fee of 37.95 just for the rent and then 0.62 dollars per mile.
So if one person travels one mile they will pay:
37.95 + 0.62
Two miles: 37.95 + 0.62 (2)
Three miles: 37.95 + 0.62 (3)
d miles: 37.95 + 0.62(d)
Thus, the function C(d) that gives the total cost of renting the truck for one day if you drive d miles would be C(d) = 37.95 + 0.62d
Now, if we drive 74 miles, the function that gives us the cost would be:
C(74) = 37.95 + 0.62(74) = 37.95 + 45.88 = 83.83 = 83.8 dollars
Now, if we have 5110 dollars on our budget, we would have to substitute this in our function to know how many miles we can drive with that amount:
![C(d)= 37.95+0.62d=5110\\37.95+0.62d=5110\\0.62d=5110-37.95\\0.62d=5072.05\\d=5072.05/ 0.62 \\d=8180.7](https://tex.z-dn.net/?f=C%28d%29%3D%2037.95%2B0.62d%3D5110%5C%5C37.95%2B0.62d%3D5110%5C%5C0.62d%3D5110-37.95%5C%5C0.62d%3D5072.05%5C%5Cd%3D5072.05%2F%200.62%20%5C%5Cd%3D8180.7)
Thus, we could drive 8181 miles
The question was incomplete. Below you will find the missing content.
The square root function f(x) is x <= 7
Options are :
A. 7 is subtracted from the x-term inside the radical.
B. The radical is multiplied by a negative number.
C. 7 is added to the radical term.
D. The x-term inside the radical has a negative coefficient.
Option D is correct, which is : The x-term inside the radical has a negative coefficient.
Given, the domain of the square root function f(x) is x <= 7
Consider the function y = √x.
The domain of this function is x ≥ 0 and the range is y ≥ 0.
The expression inside the radical must be greater than or equal to zero.
Now, if x ≤ 7
x - 7 ≤ 0
7 - x ≥ 0
And the function y = √(7-x) will have the domain x ≤ 7.
This implies that the x-term inside the radical has a negative coefficient.
Therefore, the statement that the x-term inside the radical has a negative coefficient must be true.
Learn more about function here :
brainly.com/question/17043948
#SPJ10
Answer:
Using ∣x∣>a⇒x<−a or x>a, we get
∣3x−7∣>4⇒3x−7<−4 or 3x−7>4
⇒3x<3 or 3x>11⇒x<1 or x>
3
11
⇒x∈(−∞,1)∪(
3
11
,∞).
Answer:
The area of the given triangle is 6 sq units.
Step-by-step explanation:
The area of triangle is given by
Area =
![\frac{1}{2} \times base \times height](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20base%20%5Ctimes%20height)
Here base is 6units and height is 2units
hence area= (6*2)/2= 6 units