Answer:
Step-by-step explanation:
15 - x = 3x + 3
15 - x = 3•x + 3
4x = 12
x = 3
Sorry, I change the b and a into x's if that's fine with you.
Answer: x=1, y=-2
Step-by-step explanation:
System
y=3x-5
y=x-3
3x-5=x-3
3x-x=-3+5
2x=2
x=2:2=1
y=x-3=1-3=-2
Answer:
No.
First, multiply 6 x 4 ($4 is the amount of money he makes from each sale).
6 x 4 = $24
If Lin's goal is $32, and he sells 6 boxes of popcorn for only $24, then he will not reach his goal in that specified range.
Answer:
(1.13, 7.74) and (-4.13, 18.26)
Step-by-step explanation:
This can be solved in two ways: mathematically and graphically.
<u>Graphing</u>
Plot both lines and find where they intersect. See the attachment.
The intersection points are (1.13, 7.74) and (-4.13, 18.26)
<u>Mathematical</u>
y + 2x = 10
y = 10 - 2x
y = 3x² + 7x - 4
10 - 2x = 3x² + 7x - 4
3x² + 9x - 14 = 0
Solve this using the quadratic equation:
x = 1.13 and -4.13
Use these two values of x to find y:
y = 10 - 2x
y = 10 - 2(1.13)
y = 7.74
y = 10 -2x
y = 10 -2(-4.13)
y = 18.26
The two points are:
(1.13, 7.74) and (-4.13, 18.26)
To get this percentage, divide costs by total food sales
2250 / 25000 = 0.09
then multiply by 100 to get the % = 9%