Answer:
Balance in Zac's account = - $24.63
Step-by-step explanation:
Given:
Balance in Al's account = $32.60
Balance in Dee's account = 3/4 the balance in Al's account
Balance in Zac's account = balance in Dee's account - $49.08
Find:
Balance in Zac's account
Computation:
Balance in Dee's account = 3/4 the balance in Al's account
Balance in Dee's account = [3/4][32.60]
Balance in Dee's account = $24.45
Balance in Zac's account = balance in Dee's account - $49.08
Balance in Zac's account = $24.45 - $49.08
Balance in Zac's account = - $24.63
First, you need to determine the roots of the numbers inside the radical sign. I suggest factor them out into prime factors and condense them (write repeating factors in terms of exponents). Next, look at the factors with exponents less than the index. The index is the number written outside the radical sign. If it's asking for square root, there's nothing written outside. If it's asking for cube root, there is a 3 written outsides. The factors with exponents less than the index stays inside the radical. Now, look at the factors with exponents equal to greater than the index, divide the exponent by the index and determine if there are any remainders. Bring out the factor and put an exponent equal to the quotient. If there was a remainder, write again the factor inside the radical sign with the exponent equal to the remainder. Finally, simplify the factors outside by multiplying them. Do also for the factors insides the radical.
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)
Use the slope formula
and plug in the values for x and y.
