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djverab [1.8K]
3 years ago
5

find the exponential model of best fit for the points (-3,5),(1,12),(5,72),(7,137). Explian how you got your answer. Round value

s to the nearest hundredth.

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0
<h3>Answer:</h3>

f(x) = 11.93·1.42^x

<h3>Step-by-step explanation:</h3>

I entered the data into a graphing calculator and made use of its exponential regression function to find the coefficients of ...

... y = a·b^x

It told me ...

... a ≈ 11.9304, b ≈ 1.41885

In accordance with the problem statement, these values are rounded to hundredths to get the answer.

_____

<em>Comment on the graph</em>

The given points and two curves are show. The solid red curve is the exponential regression curve produced by the calculator. The dotted blue curve is the one you get when you round the numbers to the nearest hundredth.

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Compare the quantities in Column A and Column B.
GaryK [48]

The y-intercept of 2y = 3x - 4 and the y-intercept of 4x - 2y=4 are equal

The equations are given as:

2y = 3x - 4

4x - 2y=4

Make y the subject in both equations

<u>First equation</u>

2y = 3x - 4

y = \frac 32x - 2

<u>Second equation</u>

4x - 2y=4

y = 2x - 2

A linear equation is represented as:

y = mx + b

Where b represents the y-intercept

So: By comparison,

b_1 = 2 --- the y-intercept of the first equation

b_2 = 2 --- the y-intercept of the second equation

2 = 2.

Hence, the y-intercept of 2y = 3x - 4 and the y-intercept of 4x - 2y=4 are equal

Read more about y-intercepts at:

brainly.com/question/4015585

6 0
3 years ago
What is the slope of the line that passes through (-2,5) and (1,4)?<br> -3<br> -2<br> -1/3<br> 1/3
SIZIF [17.4K]

slope = m=(y2-y1)/(x2-x1)

m= (4-5)/(1-(-2))

m= -1/(1+2)

m=-1/3

Choice C

 

7 0
4 years ago
3. At a bargain store, Jamal bought 2 items that each cost the same amount. Isaiah bought 3 items that each cost the same amount
coldgirl [10]

Answer:

  • $6.75 and $4.50

Step-by-step explanation:

a) <u>Jamal spent:</u>

  • 2x

<u>Isaiah spent:</u>

  • 3 (x - 2.25)

<u>The equation is:</u>

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b) <u>Solving the equation</u>

  • 2x = 3x - 6.75
  • 3x - 2x = 6.75
  • x = 6.75

c) <u>Jamal's items cost </u>

  • $6.75 each

<u>Isaiah's items cost </u>

  • $6.75 - $2.25 = $4.50 each
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3 years ago
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<em /><em /><em /><em />ms<u /><u /><u /><u /><u>re</u><u> that the answer </u><u>s 2,500</u>
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The answer to this question is Letter B.
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