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snow_tiger [21]
3 years ago
8

Would the function ƒ(x) = 4 be considered a step function? Explain your reasoning.

Mathematics
1 answer:
lana66690 [7]3 years ago
3 0

Hey there! I'm happy to help!

A step function is a function that looks like stairs when you graph it. Normally the end of one line will be graphed as an open circle (less or greater than, not equal to) while the other end would be a closed circle. This allows for a new line of the function to start directly above it without it not being a function (an input cannot have two outputs)

The function f(x)=4 is just a horizontal line as it has a slope of 0 (there is no x on the right side of the equation), so this doesn't resemble a step function.

Have a wonderful day and keep learning! :D

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Determine the standard form of the equation of the line that passes through ( -5,0 ) ( 0 ,-9)
insens350 [35]

The general form for a line through two points (a,b) and (c,d) is

(c-a)(y-b)=(d-b)(x-a)

This is better than the slope forms because it works in the no slope case, as does the standard form.

If you haven't seen it before, it works because when (x,y)=(a,b) we get (c-a)(b-b)=(d-b)(a-a), both sides zero, and when (x,y)=(c,d) we get (c-a)(d-b)=(d-b)(c-a), clearly equal sides.

Here we have

(0 - -5)(y - 0) = (-9 - 0)(x - - 5)

5y = -9(x+5)

5y = -9x - 45

9x + 5y = -45

Ironically there are two standards for standard form; one with the constant alone on the right and one with the whole thing equal to zero.  I like the constant alone.

Answer: 9x + 5y = -45

Check:

We check each point is on the line

(-5,0)

9(-5) + 5(0) = -45, good

(0, -9)

9(0) + 5(-9) = -45, good again


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3 years ago
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The answer to this question is 120
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Okay so you take the number of weekdays to the number of weekends the ratio is 5:2 one month, which usually has 30 days which is 4 weeks tops so that is about 21 week days and and 9 weekends then times both by 12 you get 108 weekends and 252 weekdays i know that only equals 360 but this is a rough estimate so write that as a fraction 3/7 so there is a third that it will be on a weekday 
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Hello please help! Thank you!!
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Answer:

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Step-by-step explanation:

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Answer:

7/10

Step-by-step explanation:

To find how many of x are y, you solve <em>y/x</em>.

With our numbers, we have <em>7/6 ÷ 5/3</em>.

We can turn that into <em>7/6 × 3/5</em> = <em>21/30</em> = 7/10.

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3 years ago
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