BEAUTIFUL QUESTION whoever this is
You did not include the given line to which your line is parallel to.
Nevertheless, I can explain you how to solve this problem and which the possible solutions are.
1) x-intercept = - 3 = y = 0
The only two equations that include the point (-3,0) are y = x + 3 and y = - x - 3 (you likely forgot to place the negative signs).
You can prove that in this way:
a) y = x + 3
y = 0 => x + 3 = 0 => x = - 3
b) y = - x - 3
y = 0 => - x - 3 = 0 => x = - 3
Then, so far you have two options: y = x + 3 and y = - x - 3.
2) The slope of y = x + 3 is 1 and the slope of y = - x - 3 = - 1 (the coefficient of the x).
3) You know that line whose equation you are determining is parallel to the given line. That means that their slope are the same. So, your next step is to determine the slope of the given line. It shall be either 1 or - 1. Once you have the slope, you will know whether the solution is y = x + 3 or y = - x - 3.
Answer:
The gym locker
Step-by-step explanation:
The locker with the biggest volume has the most storage space. The formula for volume is , this means width times length times height. The volume for the school locker is 12 x 10 x 60 which equals 7,200 inches. The volume for the gym locker is 12 x 15 x 48 which equals 8,640 inches. The gym locker has the great volume, therefore it has greater storage space.
Answer:
x=499.83
y=500.16
Step-by-step explanation:
We can solve this problem with a system of equations:
The total quantity of Nerds in the box:
(1)
The amount of Nerds left in the box:
The number of portions Mrs. Konings has taken:
The amount of Nerds left in the box decreases by a third each time she dumps out a portion:
(2)
Substituting (2) in (1):
(3) This is the equation
Let's find :
(4)
Now let's find by substituting (4) in (2):
(5)
You have $12, and need at least x more dollars to spend $30 total. So the inequality is 12 + x ≥ 30, where x is the number of dollars needed to get free delivery. To solve for x, subtract 12 from each side of the sign. x ≥ 30 - 12, x ≥ 18. You must spend at least 18 more dollars to qualify for free delivery.