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Answer:
Drinks = 6.75
Popcorn= 1
Step-by-step explanation:
Let the popcorn = P
Let the drink = D
2*P + 3*D = 22.25 multiply this equation by 6
12*P + 4D = 39.00
<u>12P + 18D = 133.5</u> Subtract these two equations
- 14D = - 94.50 Divide by -14
-14D/-14 = -94.5/-14 Do the division
D = 6.75
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12P + 4D = 39 Substitute for D
12P + 4*6.75 = 39 Combine
12P + 27 = 39 Subtract 27 from both sides
12P + 27-27=39-27 Collect like terms
12P = 12 Divide by 12
12P/12 = 12/12
P = 1 Answer
9514 1404 393
Answer:
the multiplicity is 4
Step-by-step explanation:
The graph shows a root at x = -2 that has a multiplicity of 2. You know the multiplicity is even, because the graph does not cross the x-axis. The multiplicity is 2 because the general shape of the graph in that area matches that of a quadratic (parabola).
The multiplicity of the root at x=4 is also an even number, because the x-axis is not crossed. However, the graph is significantly flatter at that point (than at x=-2), meaning the multiplicity is greater than 2. It is at least 4.
When we draw a graph with a multiplicity of 6 at x=4, we find the ratio of the peaks near x=-4 and x=0 to be different from that shown here. The suggests that the multiplicity of the root at x=4 is exactly 4.
Answer:
(1,-7)
Step-by-step explanation:
y= -9x + 2.............equn(1)
y= -3x - 4..........................(2)
subtract equation (1) from equn. (2)
0= -6x + 6
subtract 6 from both sides
0-6= -6x + 6-6
-6 = -6x
divide via by -6
-6/-6 = -6x/-6
x=1
to solve for y, put x in any equation
equation (1)
y=-9x+2
y=-9(1)+2
y=-9+2
y= -7
The formula for simple interest is Interest= Principle·Rate·Time
If one of these is missing, just plug in what you know. For example, if time if the principle is missing just plug in the rest. Say the interest is $264, the rate is 6% and the time is 2 years. When its plugged it, it looks like this: 264= P ·0.06·2 Now you can work it out 0.06·2 is 0.12 so 264=P 0.12. Just divide by 0.12 and your done! You can do this with any letter and just put in the info you know. I hope that this helps you! :)
