Answer:
The equation
has roots –2 and 1/5.
Hence, the option 'a' is the correct answer.
Step-by-step explanation:
Checking the equation

putting x = -2 in the equation





L.H.S=R.H.S
putting x = 1/5 in the equation





L.H.S=R.H.S
As putting x = -2 and x = 1/5 satisfy the equation.
Therefore, the equation
has roots –2 and 1/5.
Hence, the option 'a' is the correct answer.
Answer:
x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.
Step-by-step explanation:
Let Lin works x hours per week.
Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.
And she has to work at least 5 hours a week to $175 per week.
So, the inequality that can be written from the above condition is x ≥ 5 .......(1)
And the equation that can be written that
8.25x + 10 = 175 ....... (2)
Now, fro equation (2) we can write x = 20 hours which satisfies equation (1).
The simplest form is 11/24.
Step-by-step explanation:
Let the two numbers be 20x and 10x
Then by the question,
20x + 10x = 300
or, 30x = 300
or, x = 300/ 30
x = 10
Now the larger number
20x = 20* 10 = 200.
Hope it will help you :)