Answer:
1
Step-by-step explanation:
y-intercept is defined as the point where the graph crosses the y-axis. The value of x coordinate at this point is zero, as along entire y-axis, the value of x coordinate is always zero. So substituting x = 0 in the function will give us the y-coordinate of the y-intercept of the given function.
![f(x)=x^{3}-x^{2} -x+1](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B3%7D-x%5E%7B2%7D%20-x%2B1)
Substituting x = 0 in this function, we get:
![f(0)=0^{3}-0^{2}-0+1=1](https://tex.z-dn.net/?f=f%280%29%3D0%5E%7B3%7D-0%5E%7B2%7D-0%2B1%3D1)
Thus, the y-coordinate of the y-intercept is 1. Therefore the y-intercept of the function in ordered pair will be: (0, 1)
Step-by-step explanation:
f(x) = + 8
x = 10?
f(10)= +8
no change
Answer:
Amount of gas that can be hold by Joe's tank = 16 gallons.
Step-by-step explanation:
Given that Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. Now we need to find about how many gallons can Joe's tank hold.
So let's find change that happened after filling the gas.
Change = (5/8 full) - (1/4 full)
Change = (5/8 - 1/4) full
Change = (5/8 - 2/8) full
Change = (5 - 2)/8 full
Change = 3/8 full
So that means 3/8 full happens in 6 gallons
then 1 full will happen in 6/(3/8) gallons = 6*(8/3) gallons = 48/3 gallons = 16 gallons
So the amount of gas that can be hold by Joe's tank = 16 gallons.
7/10 would be equivalent to 0.7
Hope this helped! :)
Answer:
0.24
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome. The probability that an even will happen or not happen is 1.
Given that the spun has 10 sections 3 red, 3 blue and 4 green, the probability of not getting green
= (3 + 3)/(3 + 3 + 4)
= 6/10
The probability of getting green
= 4/10
Hence the probability of getting not green then green
= 6/10 * 4/10
= 24/100
= 0.24