Answer:
(-1,10)
Step-by-step explanation:
At the point when the paths cross, the respective x and y values of each equation will be equal.
Your path is y=2x+12, and your friends path is 4x+y=6. Sub 2x+12 in for y (from your path's equation) into your friends equation to find the value of x:
4x+2x+12=6
6x=-6
x=-1
y=2x+12
y=2(-1)+12=10
So you will cross paths at (-1,10)
Answer:
C= 45 + 19.95h
Step-by-step explanation:
45 for each home vist means one time payment
19.95 ever hour means you are charged 19.95 every hour
H= hour
Answer:
An event can have a probability of 3/2 is not true
Step-by-step explanation:
The probability of an event happening is between 0 and 1 inclusive.
A probability of 1 means the event is certain to happen or 100%
You cannot have a probability greater than 1 so
An event can have a probability of 3/2 cannot happen
<u>Answer:</u>
x + y ≥ 26 + 15
5x + 8y ≥ 250 (see below)
Step-by-step explanation:
First, write an equation to represent the total cost to wash cars:
$5x = cost for cars
Then, write another for trucks:
$8y = cost for trucks
If the question is saying that they will wash at least 26 cars and 15 trucks, that means they could wash more. This means that we'll need an inequality:
This inequality represents that the total number of cars and trucks they wash will be at least—which means that it is equal to or greater than—than the amount given:
x + y ≥ 26 + 15
Any equation or inequality with two unknowns is not solvable, meaning we need a system of equations:
If they make at least $250, that means that we need to combine the costs of the cars and trucks to make an inequality:
5x + 8y ≥ 250
Now you have your system of equations:
x + y ≥ 26 + 15
5x + 8y ≥ 250
