Answer:
50%
Step-by-step explanation:
You take the 1500 shots and take away the 300 and 450 you get 750 you divide 750 from 1500 then you get 0.5 and you multiply it with 100 and you get the answer 50.
Set it up as a direct variation: y/x=k, where k is the constant of variation. (20/3)/30=k gives us a k value of 8/9. The function would be y=8/9x
Answer:
Finance charge = $1500
Step-by-step explanation:
Cost price of jukebox = $9400
Down payment made by a local diner = $1000
Balance amount to be paid = 9400 - 1000 = $8400
In order to pay the balance amount diner agreed upon the installments = $275 per month for 36 months
Total amount to be paid in 36 months = 275 × 36 = $9900
So extra payment done = Total balance amount - Amount paid in 36 installments
= 9900 - 8400
= $1500
Therefore, finance charge paid by the diner was $1500.
Answer:
You can proceed as follows:
Step-by-step explanation:
First solve the quadratic inequality 
. To do that, factorize, then we have that 
. This implies that
or
In the first case the solution is the empty set 
. In the second case the solution is the interval 
. Now we have that
![A=[1,4]](https://tex.z-dn.net/?f=A%3D%5B1%2C4%5D)
![C=(3,4]](https://tex.z-dn.net/?f=C%3D%283%2C4%5D)
.
To show that 
consider 
. Then 
, this implies that 
, then 
. Now, to show that 
consider , then , then 
, then ![x\in [1,4] \, \text{and}\, x\in (3,5)](https://tex.z-dn.net/?f=x%5Cin%20%5B1%2C4%5D%20%5C%2C%20%5Ctext%7Band%7D%5C%2C%20x%5Cin%20%283%2C5%29)
, this implies that .
Observe the image below.
Answer:
A. We have two lines: y = 2-x and y = 4x+3 Given two simultaneous equations that are both required to be true.. the solution is the points where the lines cross... Which is where the two equations are equal.. Thus the solution that works for both equations is when 2-x = 4x+3 because where that is true is where the two lines will cross and that is the common point that satisfies both equations. B. 2-x = 4x+3 x 2-x 4x+3
______________
-3 5 -9
-2 4 -5
-1 3 -1
0 2 3
1 1 7
2 0 11
3 -1 15
The table shows that none of the integers from [-3,3] work because in no case does
2-x = 4x+3 To find the solution we need to rearrange the equation to the form x=n 2-x = 4x+3 2 -x + x = 4x + x +3 2 = 5x + 3 2-3 = 5x +3-3 5x = -1 x = -1/5 The only point that satisfies both equations is where x = -1/5 Find y: y = 2-x = 2 - (-1/5) = 2 + 1/5 = 10/5 + 1/5 = 11/5 Verify we get the same in the other equation y = 4x + 3 = 4(-1/5) + 3 = -4/5 + 15/5 = 11/5 Thus the only actual solution, being the point where the lines cross, is the point (-1/5, 11/5) C. To solve graphically 2-x=4x+3 we would graph both lines... y = 2-x and y = 4x+3 The point on the graph where the lines cross is the solution to the system of equations ... [It should be, as shown above, the point (-1/5, 11/5)] To graph y = 2-x make a table.... We have already done this in part B x 2-x x 4x+3 _______ ________ -1 3 -1 -1 0 2 0 3 1 1 1 7 Just graph the points on a cartesian coordinate system and draw the two lines. The solution is, as stated, the point where the two lines cross on the graph.
Hope this helps.
Step-by-step explanation:
