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emmainna [20.7K]
3 years ago
7

Grace collects unique buttons her grandmother gave her three buttons to start her collection she quickly found enough buttons to

Triple her collection then over the next year her collection grew eight times larger if her collection continues to double each year after that how many years will it be until she has over 300 buttons in her collection
Mathematics
1 answer:
Alina [70]3 years ago
8 0
Year 1. = 9
Year 2 = 9x8=72
Year 3 = 72x2=144
Year 4= 144x2=288

Fourth year she will have more than 300
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Graph y &gt; -1/3x+5<br><img src="https://tex.z-dn.net/?f=y%20%3E%20%20-%20%20%5Cfrac%7B1%7D%7B%203%20%7D%20x%20%2B%205" id="Tex
ad-work [718]

Explanation:

The function is y>-\frac{1}{3} x+5

To graph the function, let us find the x and y intercepts.

To find x-intercept, let us substitute y=0 in the function y>-\frac{1}{3} x+5

\begin{aligned}0 &=-\frac{1}{3} x+5 \\-5 &=-\frac{1}{3} x \\x &=15\end{aligned}

Thus, the x-intercept is (15,0)

To find the y-intercept, let us substitute x=0, we get,

\begin{aligned}&y=-\frac{1}{3}(0)+5\\&y=5\end{aligned}

Thus, the y-intercept is (0,5)

The graph has no asymptotes.

To plot the points in the graph, we need to substitute the values for x in the function y>-\frac{1}{3} x+5, to find the y-values.

The points are (-2,5.667),(-1,5.333),(1,4.667),(2,4.333),(3,4). The image of the graph and table is attached below:

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3 years ago
Which equation has a solution of x = -5?
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Step-by-step explanation:

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See attachment for math work and answer.

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