10 - (y - 6) - y
10 - y - 6 - y
10 - 6 - y - y
4 -2y
Answer:
D
Step-by-step explanation:
Given
x = 6 - x² ( subtract 6 - x² from both sides )
x² + x - 6 = 0 ← in standard form
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)
The factors are + 3 and - 2, since
- 3 × 2 = - 6 and 3 - 2 = + 1, thus
(x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
Sum of solutions = - 3 + 2 = - 1 → D
Answer:
- adult tickets: $13
- student tickets $7
Step-by-step explanation:
The given equations are ...
4a +5s = 87
2a +2s = 40
We observe that the coefficient of 'a' in the first equation is 2 times that in the second equation. We can multiply the second equation by -2 and add it to the first to eliminate 'a' terms.
(4a +5s) -2(2a +2s) = (87) -2(40)
4a +5s -4a -4s = 87 -80 . . . . . . . . . eliminate parentheses
s = 7 . . . . . . . . . . . . . . . . . .simplify
2a +2(7) = 40 . . . substitute for s in the second equation
2a = 26 . . . . . . subtract 14
a = 13 . . . . . . . divide by 2
Adult tickets cost $13; student tickets cost $7.
3.313 rounded to the nearest tenth is 3.3
hope this helps
Hey there!
This situation can be represented by the following equation:
y = 20 + 20x
This is because she starts without any time passing with 20 pounds of cans and collects 20 more pounds every week.
So when x = 0, y = 20.
The variable y is the number of pounds of cans collected, while x is the number of weeks passed.
If we want to find the number of pounds of cans she has after 10 weeks, we have to substitute x = 10 like this:
y = 20 + 20(10)
Multiply 20 x 10.
y = 20 + 200
Add 20 + 200.
y = 220
Your answer is 220 pounds, the second option shown!
Hope this helps!