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marusya05 [52]
3 years ago
7

Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope-intercept form.

Mathematics
1 answer:
notsponge [240]3 years ago
7 0

Answer:

y=1/3x-3

Step-by-step explanation:

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

Use the two points: (0,-3) (3,-2)

slope = (-3+2)/(0-3)

slope = -1/-3 = 1/3

y intercept = -3

Equation: y=1/3x-3

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Which equation does NOT represent direct variation? A. Y=x/21 B. y/x=5/8 C. y-3= 3x D. y-5x=0
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The gradient of the function is constant s the independent variable (x) varies The graph passes through the origin. That is to say when x = 0, y = 0. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations. The graph of 1/x does not have a constant gradient, so any stretch of this graph (to y = k/x for some constant k) will similarly not be direct variation. Indeed there is a special name for this function, inverse proportion/variation. It appears both B and C are inverse proportion, however if I interpret B as y = (2/5)x instead, it is actually linear. I believe the answer is C. Hope I helped!
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Korvikt [17]

Answer:

m=3, n=5

Step-by-step explanation:

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5 0
4 years ago
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Mrrafil [7]

Answer:

She is actually paying a rate of 7.36% of interest.

Step-by-step explanation:

The real interest rate, as a decimal, is given by:

I = (1 + \frac{r}{n})^{n}

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The nominal rate on Sandra's loan is 7.125%, compounded monthly:

This means that r = 0.07125, n = 12

So

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She is actually paying a rate of 7.36% of interest.

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3 years ago
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