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san4es73 [151]
3 years ago
12

Given f(x) is a linear function with slope 3 and y-intercept -5, what is the equation of f(x) in standard form?

Mathematics
1 answer:
lawyer [7]3 years ago
7 0

The standard form:

Ax+By=C

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have m = 3 and b = -5.

Substitute:

y=3x-5         subtract 3x from both sides

-3x+y=-5             change the signs

3x-y=5

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Answer:

6:3:8

Step-by-step explanation:

We need to find the amount of:

Frogs= Joes has 6

Snakes= Joe has 3

Hamster= Joe has 8

So, the ratio of Joe's frogs and snakes to hamsters is 6: 8 : 3.

Hope that helped! :)

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Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to
Pavlova-9 [17]

Answer:

The average rate of change of the function in this interval is of 18.

Step-by-step explanation:

The average rate of change of a function f(x) in an interval from a to b is given by:

A = \frac{f(b) - f(a)}{b - a}

In this question:

f(x) = x^2 + 6x

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f(5) = 5^2 + 6(5) = 25 + 30 = 55

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A = \frac{f(7) - f(5)}{7 - 5} = \frac{91 - 55}{2} = 18

The average rate of change of the function in this interval is of 18.

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Test Scores Find the percentile rank for each test score in the data set. Round to the nearest whole percentile.
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<h3>What is percentile rank?</h3>

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For 10,

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For 15,

Percentile rank = ([1 + 0.5]/5) x 100 = 30st

For 19,

Percentile rank = [2 + 0.5]/5 x  100 = 50th

For 23,

Percentile rank = [3 + 0.5]/5  x  100 = 70th

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The percentile rank for 10 will be 10th.

To know more about percentile range follow

brainly.com/question/24245405

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