Answer:
-x/6+0
Step-by-step explanation:
The ordered pair that represents a maximum is (5,189)
Answer:
54 9/10
Step-by-step explanation:
The perimeter is the sum of all the sides
13 1/4 + 12 1/5 + 18 1/4 + 11 1/5
Add up the whole numbers
13+12+18+11 = 54
1/4+1/5+1/4+1/5
2/4+2/5
1/2+2/5
Get a common denominator
1/2*5/5 + 2/5*2/2
5/10 + 4/10
9/10
Add them back together
54 9/10
Step-by-step explanation:
they're is a neat little trick.
but first of all, "roots" means the 0 solutions of the equation. like
ax² + bx + c = 0
there are 2 solutions for x to make the whole expression equal 0.
these are the "roots".
now to the little trick :
when is a multiplication resulting in 0 ?
when at least one of the factors is 0.
and any quadratic expression can be written as multiplication of 2 factors. like
c(x - a)(x - b) = cx² - cax - cbx + cab
what are the "roots" or 0 points ?
either
c = 0
x - a = 0 | x = a
x - b = 0 | x = b
the leading coefficient = 3.
that means nothing else than c = 3.
root = 1 means (x - 1) is one factor.
root = -5 means (x + 5) is the other factor.
so, we have
3(x - 1)(x + 5) = 3x² + 12x - 15
and the equation is
3x² + 12x - 15 = 0
or
3x² + 12x = 15
3/5 = 60%
20 ÷ 5 = 4
3 x 4 = 12
Answer is A) 12/20
