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liubo4ka [24]
3 years ago
6

Identify the type of function represented by... please help

Mathematics
1 answer:
Vladimir [108]3 years ago
3 0

Answer:

Exponential decay.

Step-by-step explanation:

You can use a graphing utility to check this pretty quickly, but you can also look at the equation and get the answer. Since the function has a variable in the exponent, it definitely won't be a linear equation. Quadratic equations are ones of the form ax^2 + bx + c, and your function doesn't look like that, so already you've ruled out two answers.

From the start, since we have a variable in the exponent, we can recognize that it's exponential. Figuring out growth or decay is a little more complicated. Having a negative sign out front can flip the graph; having a negative sign in the exponent flips the graph, too. In your case, you have no negatives; just 2(1/2)^x. What you need to note here, and you could use a few test points to check, is that as x gets bigger, (1/2) will get smaller and smaller. Think about it. When x = 0, 2(1/2)^0 simplifies to just 2. When x = 1, 2(1/2)^1 simplifies to 1. Already, we can tell that this graph is declining, but if you want to make sure, try a really big value for x, like 100. 2(1/2)^100 is a value very very very veeery close to 0. Therefore, you can tell that as the exponent gets larger, the value of the function goes down and gets closer and closer to zero. This means that it can't be exponential growth. In the case of exponential growth, as the exponent gets bigger, your output should increase, too.

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3 years ago
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wariber [46]

Answer: B) a + c = 10

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Step-by-step explanation:

We know that 10 total people went, so the first equation has to be equal to 10. The total was $59, so the second equation should be set equal to $59. Now that the second equation is for cost, we must make it 8a + 5c to represent the cost of the adult and child tickets which are $8 and $5, respectively.

5 0
3 years ago
Read 2 more answers
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8 0
3 years ago
the width of a rectangle is 6 units less than the the length. The area of a rectangle is 7 units. What is the length of the rect
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Step-by-step explanation:

8 0
3 years ago
d^2y/dx^2=sqrt(1+(dy/dx)^2 state the order of the given ordinary differential equation. Determine whether the equation is linear
Georgia [21]
This is a second-order ODE since the highest order derivative is 2 (from \dfrac{\mathrm d^2y}{\mathrm dx^2}).

It's not linear because it doesn't take the form

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5 0
3 years ago
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