<span>Since the fabric is 36 in. wide, every 36 linear inches (3 feet =1 yard) makes one square yard. The team needed 75 sq yds, thus 3 x 75 = linear feet</span>
Answer:
y = 3x
Step-by-step explanation:
slope of line = 3
passing through = (0, 0)
The equation of line passing through a point and the slope is given is
![y-y_{1}=m\left ( x-x_{1} \right )](https://tex.z-dn.net/?f=y-y_%7B1%7D%3Dm%5Cleft%20%28%20x-x_%7B1%7D%20%5Cright%20%29)
y - 0 = 3 (x - 0)
y = 3 x
Thus, the equation of line is given by y = 3 x.
Answer:
So the answer is A
Step-by-step explanation:
Change 20% to a decimal 0.20
Take the original ticket price $32.50 and multiply it by 0.20
Get $ 6.50.
Now substract the original ticket price $32.50- $ 6.50
$ 26.00 would be the employee discount ticket price
<h2>Solving Quadratic Equations by Completing the Square</h2><h3>
Answer:</h3>
and ![a = -3](https://tex.z-dn.net/?f=a%20%3D%20-3)
<h3>
Step-by-step explanation:</h3>
Solving by Completing the Square:
![a^2 +2a -3 = 0 \\ a^2 +2a -3 +3 = 0 +3 \\ a^2 +2a = 3 \\ a^2 +2a +1 = 3 +1 \\ (a +1)^2 = 4 \\ \sqrt{(a +1)^2} = \pm \sqrt{4} \\ a +1 = \pm 2](https://tex.z-dn.net/?f=a%5E2%20%2B2a%20-3%20%3D%200%20%5C%5C%20a%5E2%20%2B2a%20-3%20%2B3%20%3D%200%20%2B3%20%5C%5C%20a%5E2%20%2B2a%20%3D%203%20%5C%5C%20a%5E2%20%2B2a%20%2B1%20%3D%203%20%2B1%20%5C%5C%20%28a%20%2B1%29%5E2%20%3D%204%20%5C%5C%20%5Csqrt%7B%28a%20%2B1%29%5E2%7D%20%3D%20%5Cpm%20%5Csqrt%7B4%7D%20%5C%5C%20a%20%2B1%20%3D%20%5Cpm%202)
Solving for
from the positive root:
![a +1 = 2 \\ a +1 -1 = 2 -1 \\ a = 1](https://tex.z-dn.net/?f=a%20%2B1%20%3D%202%20%5C%5C%20a%20%2B1%20-1%20%3D%202%20-1%20%5C%5C%20a%20%3D%201)
Solving for
from the negative root:
![a +1 = -2 \\ a +1 -1 = -2 -1 \\ a = -3](https://tex.z-dn.net/?f=a%20%2B1%20%3D%20-2%20%5C%5C%20a%20%2B1%20-1%20%3D%20-2%20-1%20%5C%5C%20a%20%3D%20-3)
The solutions are
and ![a = -3](https://tex.z-dn.net/?f=a%20%3D%20-3)
Answer:
3/5
Step-by-step explanation:
The chance of either on one pick is 2/3, picking again is 1/2. This gives a 3 in 5 chance.