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nalin [4]
3 years ago
15

The graph of a linear function passes through the points (2, 4) and (8, 10).

Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0
\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 2}}\quad ,&{{ 4}})\quad 
%   (c,d)
&({{ 8}}\quad ,&{{ 10}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{10-4}{8-2}

\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=4\\
x_1=2\\
m=\boxed{?}
\end{cases}\\
\textit{and solve for "y"}
\end{array}
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Membership to a music club costs $165. Members
dimulka [17.4K]

Answer:

11 music lessons.

Step-by-step explanation:

We know that membership costs $165 and members pay $25 per music lesson.

So, we can write the following expression:

165+25m

The 165 represents the one-time membership fee and the 25m represents the cost for m music lessons.

We know that non-members pay no membership fee but their cost per lesson is $40. So:

40m

Represents the cost for non-members for m music lessons.

We want to find how many music lessons would have to be taken for the cost to be the same for both members and non-members. So, we can set the expressions equal to each other:

165+25m=40m

And solve for m. Let's subtract 25m from both sides:

165=15m

Now, divide both sides by 15:

m=11

So, at the 11th music lesson, members and non-members will pay the same.

Further Notes:

This means that if a person would only like to take 10 or less lessons, the non-membership is best because there is no initial fee.

However, if a person would like to take 12 or more lessons, than the membership is best because the membership has a lower cost per lesson than the non-membership.

And we're done!

5 0
3 years ago
I need some help, fast please!!
Sergio [31]

Answer:

6

Step-by-step explanation:

Integers are whole numbers that do not have decimals.

4.18 ÷ 0.68 = 6.14

Remember, round down with 0-4, round up with 5-9.

6.14 can be rounded down to 6.

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3 years ago
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creativ13 [48]
This answer is 678. 0003. 9
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3 years ago
Explain why two employees at a company, earning the same gross pay, might have different
algol [13]
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2+2894939837748493866274849956996964994773627228010487475829​
S_A_V [24]

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Step-by-step explanation:

u add two to that long a*s number

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