Answer:
Step-by-step explanation:
Regular price = $ 83
Discount = 95% of 83
= 0.95 * 83
= $ 78.85
Price after discount = 83 - 78.85
= $ 4.15
Answer:
2 sets of possible solutions:
x=3, y = 5
and
x=-1, y = -3
Step-by-step explanation:
Using the graphical method, (see attached)
you can graph both equations and find their intersection points.
From the attached plot, you can see that the graphs intersect at (3,5) and (-1,-3)
Alternatively, you can solve this numerically by solving the following system of equations. You will get the same answer.
y = 2x + 1 ------------------- eq. (1)
y = x² - 4 ------------------- eq. (2)
The whole number of minutes that Gianna complete each week as a function of x and y:
![45x+30y](https://tex.z-dn.net/?f=45x%2B30y)
Since the above number is greater than 450 minutes, we get the inequality:
![45x+30y\geq450](https://tex.z-dn.net/?f=45x%2B30y%5Cgeq450)
Also, "she can complete at most 10 workouts this week" so we deduce the inequality:
![\\x+y\leq10](https://tex.z-dn.net/?f=%5C%5Cx%2By%5Cleq10)
Therefore, the system of inequalities is the following:
![45x+30y\geq450](https://tex.z-dn.net/?f=45x%2B30y%5Cgeq450)
![\\x+y\leq10](https://tex.z-dn.net/?f=%5C%5Cx%2By%5Cleq10)
The above system has many solutions, for example :
Answer:
<h2>(f/g)(x) = 3</h2>
Step-by-step explanation:
f(x) = 9x + 3
g(x) = 3x + 1
To find (f/g)(x) divide f(x) by g(x)
That's
![(f/g)(x) = \frac{9x + 3}{3x + 1}](https://tex.z-dn.net/?f=%28f%2Fg%29%28x%29%20%3D%20%20%5Cfrac%7B9x%20%2B%203%7D%7B3x%20%2B%201%7D%20)
Factorize f(x)
f(x) = 9x + 3 = 3(3x + 1)
So we have
![(f/g)(x) = \frac{3(3x + 1)}{3x + 1}](https://tex.z-dn.net/?f=%28f%2Fg%29%28x%29%20%3D%20%20%5Cfrac%7B3%283x%20%2B%201%29%7D%7B3x%20%2B%201%7D%20)
Simplify
We have the final answer as
<h3>(f/g)(x) = 3</h3>
Hope this helps you