Answer:
y=1/2(x-1)
Step-by-step explanation:
If x=t^2 and t>0, then t=sqrt(x).
If t=sqrt(x) or x^(1/2) and y =1-1/t, then y=1-x^(-1/2).
The x-intercept is when y=0.
So we need to solve 0=1-x^(-1/2) to find point P.
Add x^(-1/2) on both sides: x^(-1/2)=1.
Raise both sides to -2 power: x=1
So point P is (1,0).
Let's find tangent line at point (1,0).
We will need the slope so let's differentiate.
y'=0+1/2x^(-3/2)
y'=1/(2x^(3/2))
The slope at x=1 is y'=1/(2[1]^(3/2))=1/(2×1)=1/2.
Recall point-slope form is y-y1=m(x-x1).
So our line we are looking for is y-0=1/2(x-1)
Let's simplify left hand side y=1/2(x-1)
<span>The water tank loses 53 gallons of water in 1 hour.</span>
Answer:
Between 85 and 100
Step-by-step explanation:
Getting this will get the average between the required numbers since the average of 83 and 87 is 85, getting 85 will keep the answer at 85 and getting 100 will get the average at 90.
There are two possibilities: 1. the green ball is drawn from the former bottle 2.the green ball is drawn from the latter bottle
2*0.5*(2/3)
Answer:
Amount of money earned; ... The higher the number of hours worked, the larger amount of money is earned. So, both the events goes in the same direction. So, there is direct relationship between two events
Step-by-step explanation:
