bearing in mind that
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
8 - 5y = - 2x
2x - 5y = - 8
Answer:
A. x + y = 34; 10x + 15y = 410
Step-by-step explanation:
Jody's total hours will be the sum of the hours spent on each job:
x + y = 34 . . . . . total hours
Jody's total earnings will be the sum of the earnings from each job:
10x +15y = 410 . . . total earnings
So, the system of equations is ...
- x + y = 34
- 10x + 15y = 410
Answer:
D
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant
Using the distance formula
= | y + 1 |
Squaring both sides
(x + 5)² + (y - 5)² = (y + 1)^2 , that is
(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides
(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify
y² + 2y + 1 - y² + 10y - 25 = (x + 5)²
12y - 24 = (x + 5)² ← factor left side
12(y - 2) = (x + 5)² ← divide both sides by 12
y - 2 = (x + 5)² ← add 2 to both sides
y = (x + 5)² + 2
or
f(x) = (x + 5)² + 2 → D
I'm guessing the sum is supposed to be
Split the summand into partial fractions:
If , then
If , then
This means
Consider the th partial sum of the series:
The sum telescopes so that
and as , the second term vanishes and leaves us with