Answer:
The y-intercept in coordinate form is (0, 4.5) and represents the taxi pick-up fee. The equation is y=1.5x + 4.5.
Step-by-step explanation:
This question is asking for the slope and y-intercept of a linear equation. A linear equation makes a straight line based on a constant rate of change. For this problem, the cost per mile is the slope, while the independent variable 'x' is the number of miles and the dependent variable 'y' is the total cost. In order to first find slope, you need to use the two points given (7, 15) and (10, 19.5) to set up a change in y / change in x, or (19.5-15)/(10-7) or 4.5/3 which is 1.5. So the slope, or cost per mile is $1.50. To find the y-intercept (b), or the cost of the pick-up fee, simply fill in your equation y=1.5x + b with your other variables and solve for 'b'. So, 15 = (1.5 x7) + b. or 15 = 10.5 +b, subtract 10.5 from both sides of the equation to get b=4.5.
Answer:
- C = 0.97m
- $1164 for 1200 miles
- 845 miles for $820
Step-by-step explanation:
Given a car's cost of operation is $485 for 500 miles, you want an equation relating cost for m miles, and solutions to that equation for 1200 miles, and for a cost of $820.
<h3>Cost per mile</h3>
The cost per mile is found by dividing the cost by the associated number of miles:
$485/(500 mi) = $0.97 /mi
<h3>Equation</h3>
The equation for the cost will show the cost as the cost per mile multiplied by the number of miles:
C = 0.97m . . . . . where C is cost in dollars for m miles driven
<h3>1200 miles</h3>
The cost for driving $1200 miles will be ...
C = 0.97(1200) = $1164
The cost of driving 1200 miles is $1164.
<h3>$820</h3>
The number of miles that can be driven for a cost of $820 is ...
820 = 0.97m
m = 820/0.97 = 845.36
About 845 miles are driven for a cost of $820.
Answer:
its y
Step-by-step explanation:
Answer:
85.29%
Step-by-step explanation:
We know 18 televisions sets contains 3 defective sets => 15 TV sets are ok
So the total number of possible ways for the hotel to buy = 
At least one of the defective sets, so we need to find the probability for 1 defective sets, 2 defective sets and 3 defective sets.
1. The number of ways the hotel purchases 8 of these televisions sets but have 1 defective one:
P(1) = 
* 
= 6435*3 = 19305
2. The number of ways the hotel purchases 8 of these televisions sets but have 2 defective one:
P(2) = 
* 
= 5005*3= 15015
3. The number of ways the hotel purchases 8 of these televisions sets but have 3 defective one:
P(3) = 
* 
= 3003*1 = 3003
So the probability that the hotel receives at least one of the defective sets =
(P(1) + P(2) + P(3) ) / P = (19305 +15015 + 3003 ) / 43785*100% = 85.29%
Given the quadratic equation ax^2 + bx + c = 0, the coefficients of x^2, x and 1 are a, b and c respectively.
(a) and (b) are not valid quadratics, because they omit the exponent 2. Rewrite these as comments within your original post, please.
(c) 4x^2+20x+25=0: Here, a = 4, b = 20 and c = 25.
