Step-by-step explanation:
Given
5x + 2x + 2 = 9x + 4
9x - 5x - 2x = 2 - 4
9x - 7x = - 2
2x = - 2
x = - 2 / 2
Therefore x = -1.
Answer:
The mistake she made was ; She didn't change the sign when subtracting -3/4 from both sides
She wrote 5/4+3/4 instead of 5/4-3/4
Step-by-step explanation:
Correct solution:

Subtract-3/4 from both sides

Simplify

Answer:
h is the horizontal shift
Step-by-step explanation:
y = a(x – h)^2 + k
This is the equation for a parabola in vertex form
The vertex is ( h,k) and it is shifted from (0,0)
h is the horizontal shift and k is the vertical shift
Answer:
Step-by-step explanation:
<u>Simplify the numerator:</u>
- 1/x² + 2/y =
- y/(x²y) + 2x²/(x²y) =
- (2x² + y)/(x²y)
<u>Simplify the denominator:</u>
- 5/x - 6/y² =
- 5y²/(xy²) - 6x/(xy²) =
- (5y² - 6x) / (xy²)
<u>Simplify the fraction:</u>
- (2x² + y)/(x²y) ÷ (5y² - 6x) / (xy²) =
- (2x² + y)/(x²y) × xy² / (5y² - 6x) =
- y(2x² + y) / x(5y² - 6x)
Complete question :
Suppose the average yearly salary of an individual whose final degree is a master's is $41 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer:
Bachelors = $53000
Masters = $65000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = b
Salary of Master's degree holder = 2b - 41000
Master's + bachelor's salary = $118,000
Hence,
2b - 41000 + b = 118,000
3b = 118000 + 41000
3b = 159000
b = 159000 / 3
b = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2b - 41000
2(53000) - 41000 = 65000