Hello from MrBillDoesMath!
Answer:
The second choice, [1,2]
Discussion:
The key to this question is that we are looking for "local maximum". In the graph a local maximum, think "camel hump", occurs in the interval [1,2] -- but the global maximums, if there is one, appears to occur in x > 3 and x < -1
Thank you,
MrB
Answer:
Step-by-step explanation:
We have 2 linear equations, and in both, the amount of merchandise you would have to purchase is "x", the unknown. We are asked to find that value of x.
The first equation is
C(x) = .30x + 90, which says that the cost of this plan is a fixed $90, and you pay 30% of the manufacturer's cost, x.
The second equation is
C(x) = .80x + 40, which says that the cost of this plan is a fixed $40, and you pay 80% of the manufacturer's cost, x.
If we want to know when the cost of these 2 are equal to each other, we set the equations equal to each other and solve for x:
.3x + 90 = .8x + 40 so
-.5x = -50 so
x = $100
The cost for each plan will be the same at this value of x, but we will plug in 100 for x in each just to make sure we did it right:
C(100) = .3(100) + 90
C(100) = 30 + 90
C(100) = 120 and
C(100) = .8(100) + 40
C(100) = 80 + 40
C(100) = 120
Answer:
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Step-by-step explanation:
Given
Soda = 10
Sprite = 4
Dr. Pepper = 3
Cherry Coke = 3
Required
Determine the probability of picking Dr. pepper the fourth and fifth
First, we need to sum up the number of drinks


First Selection: Dr. Pepper

Since its probability without replacement;
<em>At this stage: Dr. Pepper = 2 and Total = 19</em>
Second Selection: Cherry Coke

<em>At this stage: Dr. Pepper = 2; Cherry Coke = 2 and Total = 18</em>
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Third Selection: Cherry Coke


<em>At this stage: Dr. Pepper = 2; Cherry Coke = 1 and Total = 17</em>
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Fourth Selection: Dr. Pepper

<em>At this stage: Dr. Pepper = 1; Cherry Coke = 1 and Total = 16</em>
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Fifth Selection: Dr. Pepper

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<em>Multiply the calculated probabilities, to give the required probability</em>
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Since the triangle has a 30° angle and a right angle which is 90°, this triangle must be a 30 - 60 - 90 triangle, which is a triangle with special properties. The length of the leg adjacent to the 30° angle is equal to the √3 times x where x is the length of the angle adjacent to the 60<span>° angle. Here is a visual representation:
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