For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.
For this case we have the following polynomial:
We must find the greatest common factor of the terms of the polynomial.
The GCF of the coefficients is given by:
Then we look for the GFC of the variables:
We have then:
Finally rewriting we have:
Answer:
the complete factored form of the polynomial is:
Answer:
T == R + NH
Step-by-step explanation:
The fixed rate R is added to the hourly charges to get the total T. The hourly charges are the product of the number of hours and the charge per hour, NH.
The sum is then ...
... T = R + NH
Answer:
$160 hourly rate
Step-by-step explanation:
20 x 5 = 100
900 - 100 = 800
800 ÷ 5 = 160
To check: Multiply 160 by 5 and then add 100
