To calculate:The score Grant must earn on his fifth test to have an average of 90 if on Grant's four College Algebra tests his scores were 76, 91,97 and 87.

Find the x-and y-intercepts of the graph of the equation algebraically.
${\displaystyle y=2x+3y=10}$

Find the x-and y-intercepts of the graph of the equation algebraically.
${\displaystyle y=4(7x+1)}$

How many points do you need on the final to average 75?

Conditional probability if ${\displaystyle 40\mathrm{\%}}$ of the population have completed college, and ${\displaystyle 85\mathrm{\%}}$ of college graduates are registered to vote, what percent of the population areboth college graduates andregistered voters?
To find: The percent of people who is both college graduates and registered voters.

I'm in highschool and just started integration. I found the following problem in an old question paper and I find it very challenging.
${\int }_0^1\sqrt{x^2-2x+1}dx$
so I simplified it algebraically to
${\int }_0^1\sqrt{(x-1{)}^2}dx$
which of course is
${\int }_0^1|x-1|dx$
as the absolute value is a linear function over $x\in [0,\mathrm{\infty })$ so I proceed to evaluate it as $x^2/2-x$ for upper limit 1 and lower limit 0 which is $((1{)}^2/2-1)-(0-0)$ and equals $-\frac{1}{2}$, but according to wolfram alpha it is $\frac{1}{2}$.
Please explain at beginner level.

Find the x- and y-intercepts of the equation.
${\displaystyle -5x+8y=80}$

Involve rational functions that model the given situations. In each case, find the horizontal asymptote as ${\displaystyle x\to \infty }$ and then describe what this means in practical terms.
${\displaystyle f\left(x\right)=\frac{150x+120}{0.05x+1}}$ the number of bass. f(x), months in a lake that was stocked with 120 bass.