49 because he can play all the cards at the same time if he can, also he can play his cards between 1 and 7 times so you would multiply 7 by its self.
Answer:
$221.30
Step-by-step explanation:
Each check or withdrawal reduces (subtracts from) the balance. Each deposit increases (adds to) the balance. The final balance is ...
$85.30 -23.70 -35.63 +325.33 -130.00 = $221.30
_____
A calculator is a useful tool for this. A spreadsheet or money management program can also do the trick.
Answer:
A. -4
B. 4
C. No values
Step-by-step explanation:
The table represents a linear function
Find a and b:
![2=8a+b\\ \\3=10a+b](https://tex.z-dn.net/?f=2%3D8a%2Bb%5C%5C%20%5C%5C3%3D10a%2Bb)
Subtract these two equations:
![3-2=10a-8a\\ \\2a=1\\ \\a=0.5\\ \\2=8\cdot 0.5+b\\ \\4+b=2\\ \\b=-2](https://tex.z-dn.net/?f=3-2%3D10a-8a%5C%5C%20%5C%5C2a%3D1%5C%5C%20%5C%5Ca%3D0.5%5C%5C%20%5C%5C2%3D8%5Ccdot%200.5%2Bb%5C%5C%20%5C%5C4%2Bb%3D2%5C%5C%20%5C%5Cb%3D-2)
Then
![m(x)=0.5x-2](https://tex.z-dn.net/?f=m%28x%29%3D0.5x-2)
Check remaining points:
![m(12)=0.5\cdot 12-2=6-2=4\\ \\m(14)=0.5\cdot 14-2=7-2=5](https://tex.z-dn.net/?f=m%2812%29%3D0.5%5Ccdot%2012-2%3D6-2%3D4%5C%5C%20%5C%5Cm%2814%29%3D0.5%5Ccdot%2014-2%3D7-2%3D5)
<u>Part A:</u> Find ![h(4)-m(16):](https://tex.z-dn.net/?f=h%284%29-m%2816%29%3A)
![h(4)-m(16)=\dfrac{1}{2}(4-2)^2-(0.5\cdot 16-2)=\dfrac{1}{2}\cdot 4-(8-2)=2-6=-4](https://tex.z-dn.net/?f=h%284%29-m%2816%29%3D%5Cdfrac%7B1%7D%7B2%7D%284-2%29%5E2-%280.5%5Ccdot%2016-2%29%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%204-%288-2%29%3D2-6%3D-4)
<u>Part B:</u> The y-intercept of the function h(x) is at 2, the y-intercept of the function m(x) is at point -2, then the distance between y-intercepts is
![|2-(-2)|=4](https://tex.z-dn.net/?f=%7C2-%28-2%29%7C%3D4)
<u>Part C:</u> Plot the graphs of the functions h(x) and m(x) (see attached diagram). The graph of the function h(x) is above the graph of the function m(x) for all values of x, so there are no values of x for which m(x) exceed h(x).
Answer:
$4.72
Step-by-step explanation:
16.79+28.49=45.28
50-45.28=4.72