Answer: x-int: (-1/2,0)
y-int: (0,-1/4)
Step-by-step explanation:
x-5y+3=3x-y+4
x-int: x-5(0)+3=3x-0+4
x+3=3x+4
-2x=1
x=-1/2 ==>(-1/2,0)
y-int: 0-5y+3=3(0)-y+4
-5y+3=-y+4
-1=4y
y=-1/4 ==>(0,-1/4)
I believe notation one would be 8:9 and notation two would be 8 to 9
answer: 39.3 feet
explanation:
- because you need to find the length of an arc, you should think about circumference. the formula for that is 2πr, where r is the length of the circle's radius.
- you don't need the whole circumference, though, so you'll need a fraction (in this case, it's 225/360, because 225° is the measure of the arc's angle and 360° is the measure of a full circle's rotation)
- multiply the circumference by this fraction to get the length of the arc.
work:
![r = 10 ft\\C (circumference) = 2\pi r = 2\pi (10) = 20\pi \\\\20\pi * 225/360\\20\pi * 15/24\\= \frac{300\pi}{24} = 12.5\pi \\](https://tex.z-dn.net/?f=r%20%3D%2010%20ft%5C%5CC%20%28circumference%29%20%3D%202%5Cpi%20r%20%3D%202%5Cpi%20%2810%29%20%3D%2020%5Cpi%20%5C%5C%5C%5C20%5Cpi%20%2A%20225%2F360%5C%5C20%5Cpi%20%2A%2015%2F24%5C%5C%3D%20%5Cfrac%7B300%5Cpi%7D%7B24%7D%20%3D%2012.5%5Cpi%20%5C%5C)
enter 12.5π into a calculator and it's about 39.3 after being rounded to the nearest tenth.
If the equilibrium is such that only 12000 units are sold for $27, then the total earnings from the given scenario is $324,000. The supply equation would then be,
supply: 324000 = 6p ; p = 324000/6 = 54000
demand: 324000 = 69p ; p = 324000/69 = 4695.65 ≈ 4696
2x+150=1380
Subtract 150 to each side
2x=1230
Divide both sides by 2x
X=615
Tom earned $615