Answer:
[0.4235, 0.5365]
Step-by-step explanation:
Data given and notation
n=300 represent the random sample taken
X=300-98-58=144 represent the people that support the candidate A in the sample
estimated proportion of people that support the candidate A in the sample
represent the significance level
Confidence =0.95 or 95%
p= population proportion of people that support the candidate A.
Confidence interval
The confidence interval would be given by this formula
For the 95% confidence interval the value of 
and 
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.4235;0.5365).
Given f(x)=3x²-5x-2
a) To find f(a+h) replace x with a+h in the given function. So,
f(a+h)=3(a+h)²-5(a+h)-2
=3(a²+2ah+h²)-5(a+h)-2 By using the formula (x+y)²=x²+2xy+y².
=3a²+6ah+3h²-5a-5h-2 By distributing property.
b) Similarly to find f(a) we need to replace x with a. So,
f(a)=3a²-5a-2
So, f(a+h)-f(h)= (3a²+6ah+3h²-5a-5h-2)-(3a²-5a-2)
=3a²+6ah+3h²-5a-5h-2-3a²+5a+2.
=6ah+3h^2-5h (All other terms has been cancel out)
I got this T_T y=175-35t
But maybe its y= -35t + 175 since its negative :)
