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topjm [15]
4 years ago
7

Rip van Winkle fell asleep for a very long time. When he fell asleep, his beard was 888 millimeters long, and each passing week

it grew 222 additional millimeters.
Graph the length of Rip van Winkle's beard (in millimeters) as a function of time (in weeks).

Please help me to understand how to graph this problem.

Mathematics
2 answers:
Travka [436]4 years ago
3 0
Let x = time, weeks.
Let y =  length of Rip van Winkle's beard, mm

Initially, his beard was 888 mm long, therefore
When x = 0, y = 888.

For every week, y increases by 222 mm.
Therefore
y = 222x + 888

This is an equation for a straight line with 
slope = 222,
y-intercept = 888

When x = 1, y = 222 + 888 = 1110 mm
To draw the straight line, choose two points:
(0, 888)  from the y-intercept
(1, 1110)

The graph of the straight line is shown below. The two points are shown on the line.

xeze [42]4 years ago
3 0

Answer:

the coordinates are: x,y (0,8)  x,y (2,12)

Step-by-step explanation:

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When finding the answer to this problem, you times all of the options by each other.

5 0
2 years ago
2. Your friend wants to write the equation of a quadratic function 1 5. 3.r = 1) that has zeros at 3 and 3. They want to use the
Feliz [49]

Let's expand both options, your friend's and yours, as shown below

\begin{gathered} y=(3x+1)(3x-5)=9x^2-12x-5=9(x^2-\frac{4}{3}x-\frac{5}{9}) \\ \text{and} \\ y=(x+\frac{1}{3})(x-\frac{5}{3})=x^2-\frac{4}{3}-\frac{5}{9} \end{gathered}

Then, both equations are the same besides a constant that will not affect the zeros of the functions, as shown below

\begin{gathered} y=(3x+1)(3x-5) \\ x=-\frac{1}{3} \\ \Rightarrow y=(-1+1)(-1-5)=0 \\ \text{and} \\ x=\frac{5}{3} \\ \Rightarrow y=(5+1)(5-5)=0 \\  \end{gathered}

And

\begin{gathered} y=(x-\frac{5}{3})(x+\frac{1}{3}) \\ x=-\frac{1}{3} \\ \Rightarrow y=(-\frac{1}{3}-\frac{5}{3})\cdot0=0 \\ x=\frac{5}{3} \\ \Rightarrow y=0\cdot(\frac{6}{3})=0 \end{gathered}

Both your friend and you are correct. The functions are the same with exception of a constant that multiplies the whole function (a scale factor); despite that, the zeros are the same for both functions

(3x-5)(3x+1)=9(x+\frac{1}{3})(x-\frac{5}{3})

7 0
2 years ago
When the definition of a function involves a fraction, the function is undefined at any value that would make the denominator of
QveST [7]

When the definition of a function involves a fraction, the function is undefined at any value that would make the denominator of the function is; a) 0

What is an Undefined Function?

A function that is a fraction is said to be undefined when the denominator is equal to zero. If there are variables in the denominator, the point at which the expression in the denominator is zero is the point where that function is undefined.

From the question, we want to know what the value of the denominator of a fraction will be to make that fraction undefined. From the definition above, it is clear that the value would be zero.

Read more about Undefined function at; brainly.com/question/13136492

#SPJ1

5 0
1 year ago
What is the answer to: (-24ab) / (-3) / = divided by?
natita [175]
I hope this helps you

3 0
4 years ago
Mr. Thompson earns $ 11.52 per hour. Last week he worked 37 hours how much F.I.C.A tax did he have to pay at 7.65%?
Gelneren [198K]

Answer:

$32.61

Step-by-step explanation:

First, we multiply the amount he earns per hour by the amount of hours he worked. $11.52 * 37 = $426.24. Then, we figure out what 7.65% of $426.24 is, which we can do by multiplying 426.24 by 0.0765. This gives us $32.60736, but since there is no form of US money that is worth less than 1 cent, we round to the nearest cent and get $32.61.

Hope this helps!

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