Would a dot plot or a histogram best represent the data presented here? Why?

Mathematics

2 answers:

dalvyx [7]3 years ago

6 0

I would choose a histogram because that is the easiest way to graph for me, btw i learned this last year and histogram is ur best choice

Yuliya22 [10]3 years ago

5 0

A histogram would work best here because in this scenario there is not enough info for a dot plot

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Find an equation for the line perpendicular to y=−15x+3 with x-intercept at x = 3.

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bearing in mind that perpendicular lines have negative reciprocal slopes, let's find the slope of the provided line then

$\bf y=\stackrel{\stackrel{m}{\downarrow }}{-15}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill$

$\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-15\implies -\cfrac{15}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{1}{15}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{15}\implies \cfrac{1}{15}}}$

well, we know the x-intercept is at x = 3, recall when a graph intercepts the x-axis y = 0, so this point is (3 , 0). Then we're really looking for the equation of a line whose slope is 1/5 and runs through (3 , 0).

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{0})~\hspace{10em} slope = m\implies \cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=\cfrac{1}{5}(x-3)\implies y=\cfrac{1}{5}x-\cfrac{3}{5}$

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Maurinko [17]

Hello there!

4(3x - 11) + 23 = 5x - 14

Apply the distributive property to 4(3x - 11)
4(3x) + 4(-11)
12x - 44

We now have:
12x - 44 + 23 = 5x - 14
Combine like-terms on the left-hand side of the equation.
-44 + 23 = -21

12x - 21 = 5x - 14
Get x on one side by subtracting 5x from both sides..
12x - 5x = 7x
5x - 5x = 0

7x - 21 = -14
Add 21 to both sides to isolate 7x.
-21 + 21 = 0
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7x = 7
Divide both sides by 7 to solve for x.
7x / 7 = x
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We are now left with the following solution:
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