Answer:
h(1) = -2
Step-by-step explanation:
What h(1) is saying is the value of x = 1. We need to find the y-value.
We see from the graph that when x = 1, y = -2.
Answer:
Step-by-step explanation:
What two number multiply to equal 6*(-12) and add to equal -1? That is -9 and +8.
![6q^2-9q+8q-12](https://tex.z-dn.net/?f=6q%5E2-9q%2B8q-12)
Now factor by grouping
![(6q^2-9q)+(8q-12)\\3q(2q-3)+4(2q-3)\\(3q+4)(2q-3)](https://tex.z-dn.net/?f=%286q%5E2-9q%29%2B%288q-12%29%5C%5C3q%282q-3%29%2B4%282q-3%29%5C%5C%283q%2B4%29%282q-3%29)
Slope-intercept form: y = mx + b
m - slope
b - y-intercept
![1.\ m=2,\ b=-1\to y=2x-1\\\\2.\ m=-\dfrac{3}{5},\ b=4\to y=-\dfrac{3}{5}x+4\\\\3.\ m=-3,\ b=2\to y=-3x+2\\\\4.\ m=-1,\ b=7\to y=-x+7\\\\5.\ m=\dfrac{1}{4},\ b=0\to y=\dfrac{1}{4}x\\\\6.\ m=-\dfrac{5}{2},\ b=-3\to y=-\dfrac{5}{2}x-3](https://tex.z-dn.net/?f=1.%5C%20m%3D2%2C%5C%20b%3D-1%5Cto%20y%3D2x-1%5C%5C%5C%5C2.%5C%20m%3D-%5Cdfrac%7B3%7D%7B5%7D%2C%5C%20b%3D4%5Cto%20y%3D-%5Cdfrac%7B3%7D%7B5%7Dx%2B4%5C%5C%5C%5C3.%5C%20m%3D-3%2C%5C%20b%3D2%5Cto%20y%3D-3x%2B2%5C%5C%5C%5C4.%5C%20m%3D-1%2C%5C%20b%3D7%5Cto%20y%3D-x%2B7%5C%5C%5C%5C5.%5C%20m%3D%5Cdfrac%7B1%7D%7B4%7D%2C%5C%20b%3D0%5Cto%20y%3D%5Cdfrac%7B1%7D%7B4%7Dx%5C%5C%5C%5C6.%5C%20m%3D-%5Cdfrac%7B5%7D%7B2%7D%2C%5C%20b%3D-3%5Cto%20y%3D-%5Cdfrac%7B5%7D%7B2%7Dx-3)
Volume of sphere = 4/3πr<span>³
r = d/2 =15/2 =7.5 feet
</span>4/3*22/7 * 7.5³ = 1767.15 ft³
clearly 1st one is the answer,