y = -x² - 2x + 3
y - 3 = -x² - 2x + 3 - 3
y - 3 = -x² - 2x
y - 3 - 1 = -x² - 2x - 1
y - 4 = -(x²) - (2x) - (1)
y - 4 = -(x² + 2x + 1)
y - 4 = -(x² + x + x + 1)
y - 4 = -(x(x) + x(1) + 1(x) + 1(1))
y - 4 = -(x(x + 1) + 1(x + 1))
y - 4 = -(x + 1)(x + 1)
y - 4 = -(x + 1)²
y - 4 + 4 = -(x + 1)² + 4
y = -(x + 1)² + 4
Answer: y=1/2x-6
Step-by-step explanation:
3(8x - 5) = -4(7 - 6x)
Distribute 3 and -4 inside their respective parentheses.
24x - 15 = -28 + 24x
Add 28 to both sides.
24x + 13 = 24x
Subtract 24x from both sides.
13 = 0
This is an untrue statement, so that means there are no solutions to this equation.
Your answer is no solution.
Answer: See Below
Step-by-step explanation:
Create the equation:
$34 times the number of people plus the $50 cleaning fee has to be less than or equal to $3500
Or
34p + 50 <= 3500
34p <= 3450
p <= 101.470588....
We can have a part of a person attending the reception so we have to drop the remainder/decimal. Therefore the most amount of people that can attend the party and stay within budget is 101.
Answer:
<h2>Let's call

the number of dollars Paul owers.</h2>
Notice that the word "minus" refers to a difference.
So, basically, we just need to subtract 18 from the variable as follows

Therefore, the expression which represents the number of dollars Paul owes minus 18 is 