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gavmur [86]
3 years ago
7

Write the equation of the line that passes through (3, 4) and 2, -1) in slope-intercept form

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

Answer:

Step-by-step explanation:

(-1 -4)/(2 - 3) = -5/-1 = 5

y - 4 = 5(x - 3)

y - 4 = 5x - 15

y = 5x - 11

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The function f is given by the table of values as shown below.
lubasha [3.4K]

Answer:3^x

9, 15, 33, 87, 249

(4, 87) for example

Step-by-step explanation:

a) First differences of the f(x) values in the table are ...

 19 -13 = 6, 37 -19 = 18, 91 -37 = 54, 253 -91 = 162

The second differences are not constant:

 18 -6 = 12, 54 -18 = 36, 162 -54 = 108

But, we notice that both the first and second differences have a common ratio. This is characteristic of an exponential function. The common ratio is 18/6 = 3, so the parent function is 3^x.

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b) Translating a function down 4 units subtracts 4 from each y-value. The values of f(x) in the table would be ...

 9, 15, 33, 87, 249

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c) The x-values of the function stay the same for a vertical translation, so the points in the table of the transformed function are ...

 (x, f(x)) = (1, 9), (2, 15), (3, 33), (4, 87), (5, 249)

i hope this helps

7 0
2 years ago
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What is the slop of <br>y = - 4x - 3?​
tresset_1 [31]
The slope of this equation is -4
5 0
3 years ago
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What is the area of this triangle?<br><br> A=Bh/2
Westkost [7]

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6 0
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blondinia [14]
3x+75=180( cause supplementary angles)
-75 -75
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3 years ago
As a fraction in simplest terms, what would you multiply the first number by to get the second?
artcher [175]

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