Answer:
Option (4)
Step-by-step explanation:
Given system of equations is,
y = -x²- 4x - 3
y = 2x + 5
To get the solution of the system of equations algebraically,
2x + 5 = -x²- 4x - 3
Now combine like terms onto one side of the equation.
-x² - (4x + 2x) - (3 + 5) = 0
x² + 6x + 8 = 0
Then factorize the equation,
x² + 4x + 2x + 8 = 0
x(x + 4) + 2(x + 4) =0
(x + 2) (x + 4) = 0
x = -2, 4
Option (4) is the answer.
<h2>
Answer: 35</h2>
Step-by-step explanation: 35/-5 = -7
First we need to find the rate of logging for employee A per year. To do this, the number of hours can be divided by the number of years to find out how many hours of travel they log per year.
120 ÷ 4 = 30. Employee A logs roughly 30 hours of travel per year.
To find a percentage increase of 20%, you need to multiply by 1.2.
30 x 1.2 = 36.
Therefore, Employee B logs roughly 36 hours of travel per year.
To find out how many hours of travel Employee B logs after 1.5 years, we simply need to multiply 36 by 1.5, which equals 54.
To find out how many hours of travel Employee A logs after 1.5 years, we simply need to multiply 30 by 1.5, which equals 45.
Finally, we need to find out how many MORE hours Employee B logged after 1.5 years compared to Employee A. To do this, we simply need to do 54 - 45 = 9 hours.
Working = (((120/4) x 1.2) x 1.5) - (120/4 x 1.5)
Answer = 9 hours.
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