Answer:
X=140/3
Step-by-step explanation:
180-40=140, 140 divided by 3 is 140/3, so 40+3x140/3=180
Answer:
8
Step-by-step explanation:
Combine like terms, -4 and 8, 2x and 3x.
After combining the terms, you get x+4=12.
Subtract 4 from both sides and get x=8
We can let x and y represent cups of lemonade and numbers of lemon bars, respectively. Then the constraints are ...
- x ≥ 150
- y ≥ 0
- 2x +1.5y ≥ 500
- 0.25x +0.20y ≤ 100
A graph is shown in the attachment, with the ordered pairs plotted. It is not feasible to sell half cups of lemonade or half lemon bars, so the second and third choices must be excluded. The point (160, 110) falls outside the feasible region, so is not a correct choice.
The correct choices are ...
I'll just factor the above equation.
x² + 18x + 80
x² ⇒ x * x
80
can be:
1 x 80
2 x 40
4 x 20
5 x 16
8 x 10 Correct pair
(x+8)(x+10)
x(x+10) +8(x+10) ⇒ x² + 10x + 8x + 80 = x² + 18x + 80
x+8 = 0
x = -8
x+10 = 0
x = -10
x = -8
(-8)² + 18(-8) + 80 = 0
64 - 144 + 80 = 0
144 - 144 = 0
0 = 0
(-10)² + 18(-10) + 80 = 0
100 - 180 + 80 = 0
180 - 180 = 0
0 = 0
I think the algebra tiles will not be a good tool to use to factor the quadratic equation because the equation is not a perfect square quadratic equation.
Furthest from 0, so I am going to take the absolute value of these numbers. The absolute value will tell us how far away from 0 these numbers are.
|-1/2| = |- 0.5| = 0.5
|8/9| = |0.88| = 0.88
|0.2| = 0.2
so the number furthest from 0 is 8/9
