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Nikitich [7]
3 years ago
6

What makes a graph a proportional relationship?

Mathematics
1 answer:
saw5 [17]3 years ago
8 0

Answer:The graph of a proportional relationship is a straight line that passes through the origin. Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph.



Step-by-step explanation:


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Can someone please show me the steps in finding the answers to these two problems ?
ratelena [41]

Answer:

  • y = 8^(x-1)
  • x = 24

Step-by-step explanation:

The first step is always to look at the question to see what you are given and what you are asked for. The next step is to identify the relevant relations between what you have and what you need to find.

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1) You are given a sequence of (x, y) points where x increases by 1 from one point to the next, and y increases by a factor of 8. This tells you the value of y form a geometric sequence that is described by an exponential function.

The general form of the n-th term of a geometric sequence is ...

  an = a1·r^(n-1)

where a1 is the value for n=1, and r is the common ratio.

If this were a geometric sequence, we could write the general term using a1=1 and r=8:

  an = 1·8^(n-1)

Instead, this is a relation between x and y. It is the same relation as for the geometric sequence, but with different variable names. We have y instead of an, and we have x instead of n. So, the equation is ...

  y = 8^(x -1) . . . . . . . or . . y = (1/8)8^x

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2) This equation is of the form ...

  k·∛x = 6

Since k is also a cube root, it is easiest to cube both sides of the equation:

  9x = 6³ = 216

Now, you can divide by 9 to find x:

  x = 216/9

  x = 24

5 0
3 years ago
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If A= (-4 1 -4) (3 3 1) (2 5 5) and B= (-4 -5 4) (3 3 -5) (2 2 -1), find AB
nadezda [96]

Answer:

\left[\begin{array}{ccc}11&15&-17\\-1&-4&-4\\17&15&-22\end{array}\right]

Option D will be your answer

-----------

hope it helps...

have a great day!!

6 0
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Pls pls pls pls pls pls
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Answer:

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Step-by-step explanation:

One dollar is 17 pesos according to the chart, so 510/17 would be the US dollar price ($30)

6 0
3 years ago
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Expanded num for 373698
ivolga24 [154]
300000+70000+3000+600+90+8
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3 years ago
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Tracis Bank charges $2 for withdrawals at nonbank ATMs and a fee of $2.50 per month for debit card. last month she paid $10.50 i
anastassius [24]

Answer:

5 withdrawals

Step-by-step explanation:

Since $10.50 ends in $0.50, you know that she must have made at least one $2.50 transaction.

10.50 - 2.50 = 8

8/2 = 4 (she made four $2 transactions)

She made 4 $2 transactions and 1 $2.50 transaction.

4 + 1 = 5

She made 5 transactions total.

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3 years ago
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