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stepan [7]
3 years ago
10

What is the equation of the line in slope-intercept form?

Mathematics
1 answer:
cricket20 [7]3 years ago
6 0

Answer:y = 3x/4 + 4

Step-by-step explanation:

The equation of a line in the slope-intercept form is represented by

y = mx + c

Where c = y-intercept

Slope, m = change in the value of y on the vertical axis / change in the value of x in the horizontal axis.

change in the value if y is y2 -y1 and change in the value of x is x2 - x1

Where

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 4

y1=0

x2=0

x1 = -3

we can determine the slope.

Slope, m = (4-0) / (0- -3)

= 4/3

Let us pick points (0,4) to determine the intercept

Substituting x = 0 , y = 4 and m = 4/3 into the slope-intercept equation,

y = mx + c

4 = 3/4×0 + c

c = 4

Equation of the line in slope-intercept form is

y = 3x/4 + 4

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Step-by-step explanation:

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3 years ago
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Evgen [1.6K]

Answer:

60 times will they ring together at the same second in one hour excluding the one at the end.

Step-by-step explanation:

Given : Five bells begin to ring together and they ring at intervals of 3, 6, 10, 12 and 15 seconds, respectively.

To find : How many times will they ring together at the same second in one hour excluding the one at the end?

Solution :

First we find the LCM of 3, 6, 10, 12 and 15.

2 | 3  6  10  12  15

2 | 3  3   5   6  15

3 | 3  3   5   3  15

5 | 1    1  5   1    5

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LCM(3, 6, 10, 12,15)=2\times 2\times 3\times 5

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So, the bells will ring together after every 60 seconds i.e. 1 minutes.

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3 years ago
1. Which of the following describes the end behavior of the function ƒ(x) = x^4 + 3x^3 – 2x + 7?
snow_tiger [21]

Hello, when x tends to \infty the term with the highest degree will lead the behaviour.

In other words.

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So, the answer B is correct.

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Answer:

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Step-by-step explanation:

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