The equations of a system have the same slopes. What can you determine about the solution of the system of equations?

1 answer:

5 0

One of two things:
-There is no solution because they are parallel lines
- OR There is infinite solutions because they are the same line.

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Some kids are selling lemonade for $1.50 per cup at a high

BaLLatris [955]

A function that would represent profit based on the number of cups of lemonade is Profit = 1.5n - 14

<u>Solution:</u>

Given, Some kids are selling lemonade for $1.50 per cup at a high school baseball game.

They spent $14 on all of the items needed for the lemonade stand (cups, lemonade, table oth, sign, etc)

We have to create a function that would represent profit based on the number of cups of lemonade

Now, let the number of cups sold be "n"

Then , we know that,<em> profit = selling price – cost price </em>

Profit = number of cups sold x price per cup – cost price

Profit = n x $ 1.5 – $ 14

Profit = 1.5n – 14

Hence, the function is Profit = 1.5n - 14

6 0

2 years ago

Find the equation in standard form of the line with slope

Serhud [2]

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 5}}\quad ,&{{ 7}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{7}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=\cfrac{7}{2}(x-5)\implies y-7=\cfrac{7}{2}x-\cfrac{35}{2}
\\\\\\
y=\cfrac{7}{2}x-\cfrac{35}{2}+7\implies \stackrel{standard~form}{-\cfrac{7}{2}x+y=-\cfrac{21}{2}}$