Answer:
<em>The sum of the two solutions to the given equation is 1/3.</em>
Step-by-step explanation:
<u>Nature of Roots of a Second-Degree Equation</u>
Given a quadratic equation:
The roots of the equation are:
The sum of the roots is:
The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient.
We are given the equation:
Rearranging:
The coefficient b is b=-1, and the leading coefficient is a=3, thus the sum of the roots is:
The sum of the two solutions to the given equation is 1/3.
Answer:
A= L x W
A= 25.75 X 10.2
A= 262.65
Step-by-step explanation:
THE AREA OF KATHLEEN'S VEGETABLE GARDEN
Answer:
m = - 15
Step-by-step explanation:
Using the rule of exponents
× = , then
× = , that is
=
=
Equating exponents gives
m = - 15
Answer:
A) -13p^33q^-2 or -13p^3/q^2
B) 8x + 5y - 7
C) 15x^2 -23x + 4
Step-by-step explanation:
A) 169/(-13) = -13 p^4/p = p^3 q/q^3 = 1/q^2 which can be written as q^-2 and r/r is 1. So if you put this all together you get -13p^33q^-2 or -13p^3/q^2
B) 3(x +2y) + 5x - (y + 7)
3x + 6y + 5x - y - 7 distributive property
3x + 5x + 6y - y -7 combine like terms
8x + 5y - 7 Answer
C) (3x-4) (5x - 1) Foil multiply the first terms in each parenthesis. the outer terms, the inner terms and the last terms
(3x)(5x) + (3x)(-1) + (-4)(5x) + (-4)(-1)
15x^2 -3x - 20x + 4
15x^2 -23x + 4
Answer:40% of 700 is 280
Step-by-step explanation:40 percent *700 =
( 40:100)*700 =
( 40*700):100 =
28000:100 = 280