Answer:
A
Step-by-step explanation:
Given
f(x) = 
let f(x) = y and rearrange making x the subject
y =
( multiply both sides by 4 )
4y = x + 3 ( subtract 3 from both sides )
4y - 3 = x
Change y back into terms of x
(x) = 4x - 3 → A
Answer:
87.5
Step-by-step explanation:
By completing the square,
y
=-14x^2+70x
=-14(x^2-5x)
=-14(x-5/2)^2+175/2
the max. height=175/2
i.e. 87.5
Asymptote at x = 3 and a horizontal asymptote at y = 1. The curves approach these asymptotes but never cross them. The method used to find the horizontal asymptote changes depending on how the degrees of the polynomials in the numerator and denominator of the function compare.
Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive
We are given
P(A)=0.75 [ probability that Nathan is allergic ]
P(T|A)=0.98 [probability of testing positive given Nathan is allergic to Penicillin]
We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)
From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735
Hope this helps!!
If you make 42,500 and your spouse makes 37750, then using the 20% to 25% range, the least and the greatest amount you should spend on housing is $50,00. The correct answer to the following given statement above is 50 dollars.