Answer:
Step-by-step explanation:
Winter and summer

- Simplify ⇨ 1/x(x+a) + 1/x(x-a)


To add or subtract expressions, expand them to make their denominators the same. Least common multiple of
and
is
. Multiply
. Multiply
.

Because
and
have the same denominator, add them by adding their numerators.

Combine like terms in x-a+x+a.

Cancel out x in both the numerator and denominator.

Expand
.

Discounted by 25% means he paid 75% of the original price:
80 x 0.75 = $60
Now multiply the sale price by 1 + tax rate:
60 x 1.05 = 63
He paid $63 total.
Answer:
1
Step-by-step explanation:
Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.
The average value of a function f(x) over an interval [a, b] is
f(b) - f(a)
ave. val. = ---------------
b - a
which in this particular case is
19 - 30
ave. val. = ----------------- = -11/11 = 1
6 - (-5)
The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.