Answer:
Step-by-step explanation:
The rate of change is equal to (y2-y1)/(x2-x1) where (x1,y1)=((0,150) and (x2,y2)=(5,0). Therefore the rate of change equals (0-150)/((5-0)=-30 songs/week. This is equal to the slope of the line that goes through these two points. The initial value is the y coordinate of the point when x=0 which is 150. The equation of the line is y=-30x+150, and this is the slope-intercept form (y=my+b) where m is the slope of the line and b is the y-intercept.
Answer:
No, This is not reasonable estimate.
Step-by-step explanation:
Charles wants to take out a 5 year loan on car that cost $15000.
He make rough estimate to make payment. He can afford to pay up to $200 per month.
First we find total number of months in 5 years.
Total months = 5x12= 60 months
Total estimate to pay =
=$12000
we can see cost of a car $15,000 is greater than his estimation $12,000.
Therefore, Charles estimation will not work.
No, This is not reasonable estimate.
The price of the hot dogs is $1.50 and $1 for soft drinks.
$9(6 hot dogs)+$4(4 soft drinks)=$13
$4.50(3 hot dogs)+$4(4 soft drinks)=$8.50
Answer:
A and D are equal
Step-by-step explanation:
Given
![A=-2[-6, 4, 3 ,7, 12, 10]](https://tex.z-dn.net/?f=A%3D-2%5B-6%2C%204%2C%203%20%2C7%2C%2012%2C%2010%5D)
![B=3[-2, 2, 8, 8, 5, 6]](https://tex.z-dn.net/?f=B%3D3%5B-2%2C%202%2C%208%2C%208%2C%205%2C%206%5D)
![3C=3[-2, 8, 2, 5, 8, 6]](https://tex.z-dn.net/?f=3C%3D3%5B-2%2C%208%2C%202%2C%205%2C%208%2C%206%5D)
![D=-1[-12, 8, 6, 14, 24, 20].](https://tex.z-dn.net/?f=D%3D-1%5B-12%2C%208%2C%206%2C%2014%2C%2024%2C%2020%5D.)
Required
The equal matrices
First, we simplify the given expressions
![A=-2[-6, 4, 3 ,7, 12, 10]](https://tex.z-dn.net/?f=A%3D-2%5B-6%2C%204%2C%203%20%2C7%2C%2012%2C%2010%5D)
Open bracket
![A= [12, -8, -6 ,-14, -24, -20]](https://tex.z-dn.net/?f=A%3D%20%5B12%2C%20-8%2C%20-6%20%2C-14%2C%20-24%2C%20-20%5D)
Next:
![B=3[-2, 2, 8, 8, 5, 6]](https://tex.z-dn.net/?f=B%3D3%5B-2%2C%202%2C%208%2C%208%2C%205%2C%206%5D)
Open bracket
![B=[-6, 6, 24, 24, 15, 18]](https://tex.z-dn.net/?f=B%3D%5B-6%2C%206%2C%2024%2C%2024%2C%2015%2C%2018%5D)
Next:
![3C=3[-2, 8, 2, 5, 8, 6]](https://tex.z-dn.net/?f=3C%3D3%5B-2%2C%208%2C%202%2C%205%2C%208%2C%206%5D)
Divide by 3
![C=[-2, 8, 2, 5, 8, 6]](https://tex.z-dn.net/?f=C%3D%5B-2%2C%208%2C%202%2C%205%2C%208%2C%206%5D)
Lastly:
![D=-1[-12, 8, 6, 14, 24, 20].](https://tex.z-dn.net/?f=D%3D-1%5B-12%2C%208%2C%206%2C%2014%2C%2024%2C%2020%5D.)
Open bracket
![D=[12, -8, -6, -14, -24, -20].](https://tex.z-dn.net/?f=D%3D%5B12%2C%20-8%2C%20-6%2C%20-14%2C%20-24%2C%20-20%5D.)
By comparison:
![A = D=[12, -8, -6, -14, -24, -20].](https://tex.z-dn.net/?f=A%20%3D%20D%3D%5B12%2C%20-8%2C%20-6%2C%20-14%2C%20-24%2C%20-20%5D.)