Answer:
when the distance driven per day is 100 miles
Step-by-step explanation:
Start by writing an equation for the daily charge of each company
Let's call p(x) what the primo car rental charges per mile "x", and let's call u(x) what ultimo rental charges;
p(x) = 24 + 0.4 x
u(x) = 38 + 0.9 x
when would u(x) be twice the p(x) charge?
u(x) = 2 p(x)
38 + 0.9 x = 48 + 0.8 x
0.9 x - 0.8 x = 48 - 38
0.1 x = 10
x = 100
so, such happens when the distance driven per day is 100 miles
Answer:
Step-by-step Solution:
<u>We know that:</u>
- 55 = 5x + 15 (Vertically opposite angles)
<u>Solution:</u>
- 55 = 5x + 15
- => 55 - 15 = 5x
- => 40 = 5x
- => x = 8
Hence, the value of x is 8.
Answer:
<h2>
y = (-2/3)x - 4</h2>
Step-by-step explanation:
As we move to the right from (-3,-2) to (6,-8), x increases by 9 and y decreases by 6. Thus, the slope of the line connecting these two points is
m = rise / run = -6 / 9 = -2/3.
Starting with the slope-intercept form of the equation of a straight line,
y = mx + b, and substituting -2/3 for m, -8 for y and 6 for x, we get the following equation, which enables us to solve for the y-intercept, b:
-8 = (-2/3)(6) + b, or
-8 = -4 + b
Then b = -4, and the desired equation is
y = (-2/3)x - 4.
Answer:
20.8%
Step-by-step explanation:
To find the final probability, two separate events must be done and the final propagation is the multiplication of these, like this:
First event:
Probability of black socks on Monday:
Total pair of socks: 1 + 3 + 5 = 9
Number of black socks on Monday: 3
Thus:
3/9 = 1/3
Second event:
Probability of white socks on Tuesday:
Total pair of socks: 8
Number of white socks on Tuesday: 5
Thus:
5/8
Final probability:
1/3 * 5/8 = 5/24
P = 0.208
So the probability would be 20.8%
, with 0 in the function, and solve for time 
:
seconds.