7.75 hamburger
17.85 chicken
6.50 steak
TOTAL 32.10 pounds of meat
Answer:
e = 5/3
Step-by-step explanation:
3(2e+8) = 34
Distribute
6e +24 = 34
Subtract 24 from each side
6e +24-24 = 34-24
6e = 10
Divide each side by 6
6e/6 = 10/6
e = 10/6
Divide the top and bottom by 2
e = 5/3
Answer:
Job A is more profitable for nearly 49 months (or 50 months including the first month)
Job B is more profitable after 49 months (or 50 months including the first month).
Step-by-step explanation:
Let x be the number of months passed after first month
<u>Job A:</u>
$2,000 for the first month with a $300 raise every month thereafter
Function describing this situation:
<u>Job B:</u>
$1,500 for the first month with a 5% raise every month thereafter
Function describing this situation:
Plot both graphs (see attached diagram). The diagram shows that the job A is more profitable for nearly 49 months (or 50 months including the first month) and the job B is more profitable after 49 months (or 50 months including the first month).
Melanie:
Amount after 5 years = 4000(1 + 0.04)⁵ = $4867
Gina:
Amount after 5 years = 4000 + 5(0.045 x 4000) = $4900
Answer: Gina has the greater balance and her balance is $4900.
The surest way to get many of the points needed to plot a quadratic is to use the quadratic formula. This will give the roots (real or imaginary). It will give you the completed square form also called the vertex form (if you know how to use the discriminant). It can easily give you the y intercept (which you can find before you use the quadratic formula). It gives the max or min upon solution.
The easiest one to use if it is available to you, is factoring. The quadratic may not be factorable. But if it is and you can see it, then this gives you 2 points immediately (the roots) and a third without much trouble (the y intercept). Factoring will also give you the x value of the vertex. (Find the average between the 2 roots)
This needs an example
Suppose you have y = (x - 5)(x - 9) The roots are 5 and 9, correct? So the x value of the vertex is (5 + 9)/2 = 7 It always works.
Completing the square always gives you the minimum or maximum right away. For example if you have y = (x - 2)^2 - 5 it means you have the vertex at (2,-5) You can get the roots easily enough. So this form is useful, but not as sure as the quadratic equation or as simple as factoring.
Graphing is the most certain way to check your answer. I find it the most useful thing to do with modern computers. There are all sorts of things that a graph will reveal that algebra by itself might be laborious and prone to leading you to mistakes. Graphing tends to correct that problem.
