Solution
f(x) = -20
+14x + 12 and g(x) = 5x - 6.
(f/g)(x) = 
(f/g)(x) = 
<u>Step 1: </u>Now we have to factorize the numerator.
f(x) = -20x^2 + 14x + 12
Factor out -2, we get
= -2 (10x^2 - 7x - 6)
Now we can factorize 10x^2 - 7x - 6
f(x) = -2(2x + 1) (5x - 6)
<u>Step 2: </u>Plug in the factors
(f/g)(x) = 
<u>Step 3:</u> Cancel out the common factor (5x - 6) from the numerator and the denominator, we get
(f/g)(x) = -2(2x +1) = -4x -2
Since -4x -2 is linear expression, the domain is all the real numbers.
Therefore, the answer is –4x – 2; all real numbers
Thank you :)
It would be the bus goes 75 miles per hour while the car is going 95 miles per hour
Answer: The question isn't finished.
Step-by-step explanation:
Answer:
£83.70
Step-by-step explanation:
→ First step is to find the amount of hours it takes for one builder
We know it takes 5 builders 
hours so 1 builder would take 5 × which is 
hours so it takes one builder 17.5 hours to builder a wall
→ Now we know how long one work takes we need to find out the time for 2 builders
1 builder = 17.5 hours
2 builders = 17.5 ÷ 2 = 8.75 hours
So 2 builders take 8.75 hours
→ We know that each builder is paid £9.30 for each or part hour they work so
9.30 hourly pay rate × 9 hours work of work = £83.70
Each worker will be paid £83.70
Answer:
X > 21000
Step-by-step explanation:
Given the following :
Payment plans :
PLAN A:
salary = $1000 per month
Commision = 10% of sales
PLAN B:
salary = $1300 per month
Commision = 15% of sales in excess of $9,000
Hence, for plan B; 15% is paid after deducting $9000 from total sales
For what amount of monthly sales is plan B better than plan A if we can assume that Mike's sales are always more than $9,000.00?
That is ;
Plan B > plan A
Let total sales = x
Plan A:
$1,000 + 0.1x
Plan B:
$1,300 + 0.15(x - 9000)
1300 + 0.15(x - 9000) > 1000 + 0.1x
1300 + 0.15x - 1350 > 1000 + 0.1x
0.15x - 50 > 1000 + 0.1x
0.15x - 0.1x > 1000 + 50
0.05x > 1050
x > 1050/0.05
x > 21000
