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Karolina [17]
2 years ago
7

Write an exponential function in the form y = abthat goes through points (0, 20) and (2,180).

Mathematics
1 answer:
Andrej [43]2 years ago
5 0

Answer:

y=20(6)^x

Step-by-step explanation:

the graph passes through the point (0,20) : when x=0  and  y=20  :

20= ab^0    so a=20 because : b^0 = 1

the graph passes through the point (3,4320) : when x=3.  and  y=4320  : 4320= ab^3  but : a=20   so : 4320 = 20b^3

so : b^3 = 4320/20 = 216...... 216 =  6^3

b^3 = 6^3

b=6

the function is : y=20(6)^x

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Answer:

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Step-by-step explanation:

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3 0
3 years ago
Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the point and parallel to the line.
ch4aika [34]

Answer: y = 2x

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = 2x - 8

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2

To determine the intercept, we would substitute m = 2, x = - 3 and

y = - 6 into y = mx + c. It becomes

- 6 = 2 × - 3 + c

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c = - 6 + 6 = 0

The equation becomes

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3 years ago
Arrange the rational numbers in order from greatest to least. Select each rational number and drag up or down to change the posi
Pani-rosa [81]

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Step-by-step explanation:

8 0
3 years ago
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Soloha48 [4]

Answer:

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Step-by-step explanation:

Hope it helped

4 0
3 years ago
Read 2 more answers
What is the solution to 3.2x = 6.4?
jeyben [28]
A. X = 2 
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6 0
4 years ago
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