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nikdorinn [45]
3 years ago
12

Help!! Create a set of coordinates to model a relation that is a linear function.

Mathematics
2 answers:
grigory [225]3 years ago
7 0

Answer:

You can group a ratio or a multiple of x or y to prove a linear function.

To set coordinates randomly pick a title ie) rise in price for matches over 40 years.

$14 yr 10   $20 yr 11 etc. $25 year 12 etc.

We show yr 0 = 0  yr 1 = 8 and if 8 is the price we have a ratio start of 1:8 upon year 1. we then pinpoint the data what year was $16 and we know that yr 10 = $14 so yr 11 = $16.

Once we can write a format which isn't asked we can prove the relationship target of the graph would be x8

As the x y relationship coordinates can be shown here.

= 1 , 8

2 ,16

3 ,24

4, 32

and then change number of years to decades. To make a linear equation work we could change the rate upon the decade that shows a more stable rate of change to be of significance and easier to read.

Step-by-step explanation:

A linear function is a type of function of x and y proves a single line.

When a given ratio or rate of increase occurs ie) xy = 1/8 or 8/1 we can set the 1-4 decades spaced out on a graph and go up by decades since 1980 = decade 1, decade 2 decade 3 decade 4

for x value and for y we have price the actual data of change.

Therefore y = price change from $8 - $32 in last 40 years to appeal to advertisers who want to be ethical and fair for customers who pay more than $32 a game, they look for linear graphs that can show least amount cost of a ticket and average price ticket and compare success stories in advertising to crowds to further testing graphs before advertising so that companies can test advertising before sponsorship which is one way of investment, that can help ease costs of selection of tickets and go full circle for the financier of such games.They need linear graphs to compare to other business as each linear graphs can show better stability. So it is a good example to show costs and prices as prices demonstrate exactly how companies grow compared to their competitors.

KatRina [158]3 years ago
5 0

Answer:

5 gallons of gas cost $15.

10 gallons of gas cost $30.

Function y is the cost of gasoline given x, the number of gallons bought.

There are two points given, (5, 15) and (10, 30).

We can write an equation for the function.

y - y1 = m(x - x1)

m = slope = (30 - 15)/(10 - 5) = 15/5 = 3

(x1, y1) is one of the given points. We can use (5, 15).

y - 15 = 3(x - 5)

y - 15 = 3x - 15

Add 15 to both sides.

y = 3x

y = 3x is a linear function.

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luis has three more quarters than dimes in his pocket, for a total of $1.80. How many dimes (x) are in his pocket
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3

Step-by-step explanation:

In this case, Luis has 6 quarters, and 3 dimes. 6 - 3 = 3, and it works out to the following:

6 • 0.25 = 1.50

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1.50 + 0.30 = 1.80

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3 years ago
What will be the value of
madreJ [45]

The expression as given doesn't make much sense. I think you're trying to describe an infinitely nested radical. We can express this recursively by

\begin{cases}a_1=\sqrt{42}\\a_n=\sqrt{42+a_{n-1}}\end{cases}

Then you want to know the value of

\displaystyle\lim_{n\to\infty}a_n

if it exists.

To show the limit exists and that a_n converges to some limit, we can try showing that the sequence is bounded and monotonic.

Boundedness: It's true that a_1=\sqrt{42}\le\sqrt{49}=7. Suppose a_k\le 7. Then a_{k+1}=\sqrt{42+a_k}\le\sqrt{42+7}=7. So by induction, a_n is bounded above by 7 for all n.

Monontonicity: We have a_1=\sqrt{42} and a_2=\sqrt{42+\sqrt{42}}. It should be quite clear that a_2>a_1. Suppose a_k>a_{k-1}. Then a_{k+1}=\sqrt{42+a_k}>\sqrt{42+a_{k-1}}=a_k. So by induction, a_n is monotonically increasing.

Then because a_n is bounded above and strictly increasing, the limit exists. Call it L. Now,

\displaystyle\lim_{n\to\infty}a_n=\lim_{n\to\infty}a_{n-1}=L

\displaystyle\lim_{n\to\infty}a_n=\lim_{n\to\infty}\sqrt{42+a_{n-1}}=\sqrt{42+\lim_{n\to\infty}a_{n-1}}

\implies L=\sqrt{42+L}

Solve for L:

L^2=42+L\implies L^2-L-42=(L-7)(L+6)=0\implies L=7

We omit L=-6 because our analysis above showed that L must be positive.

So the value of the infinitely nested radical is 7.

4 0
3 years ago
The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = |x – h| is solid.
HACTEHA [7]

9514 1404 393

Answer:

  • positive: right
  • negative: left

Step-by-step explanation:

In the transformed function f(x-h), the value of h is the right shift of the parent function.

For h positive, shift is to the right.

For h negative, shift is to the left.

5 0
3 years ago
Read 2 more answers
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