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Lorico [155]
3 years ago
12

PLEASE HELP!! Write the equation of the graph.

Mathematics
1 answer:
Jet001 [13]3 years ago
8 0
When you first look at thius graph, you should notice two things immedietly.

1. This graph will have a positive slope, because the line is going up.

2. the y-intercept is -2 because that's where it is on the y-axis.

Now, you have been given two points, (2, 1) and (0, -2). You can put these two points into the slope formula, which is: m = \frac{y2 - y1}{x2 - x1} \frac{(-2) - 1}{0 - 2} = \frac{3}{2} = 3/2.

So, now you have your slope and your y-intercept. Now, just put them into    y = mx + b form!

y = 3/2x - 2 (it is ubtracting two instead of adding two because it is a negative two.)

Hope this helps!!
~Kiwi
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Z varies directly with x and inversely with y. When x=6 and y=2, .z=15. Write function that models variation. Then, find z when
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\bf \begin{array}{cccccclllll}
\textit{direct proportional variation}\\\\\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
\\
&&  y={{ k }}x
\end{array}\\ \quad \\


\bf \textit{inverse proportional variation}\\\\
\begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}
\\
&&y=\cfrac{{{  k}}}{x}
\end{array}


\bf \\\\
-------------------------------\\\\
\textit{z varies directly with x}\implies z=kx
\\\\
\textit{and inversely with y}\implies z=\cfrac{kx}{y}
\\\\\\
\textit{we also know that}\quad 
\begin{cases}
x=6\\
y=2\\
z=15
\end{cases}\implies 15=\cfrac{k\cdot 6}{2}\implies 30=6k

\bf \cfrac{30}{6}=k\implies \boxed{5=k}\impliedby \textit{constant of variation}
\\\\\\
thus\implies z=\cfrac{5x}{y}\\\\
-------------------------------\\\\
\textit{what's "z" when }
\begin{cases}
x=4\\
y=9
\end{cases}\implies z=\cfrac{5\cdot 4}{9}
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Answer:

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Step-by-step explanation:

Given

F= (C*1.8) + 32

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Answer: There are 32 students who like brussels sprouts but dislike beans.

Step-by-step explanation:

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So, Number of students who like brussels sprouts but dislike lima beans is given by

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Hence, there are 32 students who like brussels sprouts but dislike beans.

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