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Verdich [7]
4 years ago
14

Rewrite the equation p*60-65=15 by factoring the side that contains the variable p.

Mathematics
1 answer:
iragen [17]4 years ago
8 0

Answer:

5 (12p - 13) = 15

Step-by-step explanation:

p * 60 - 65 = 15

p*5*12 - 5*13 = 15

5 (12p - 13) = 15

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A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?
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Answer:

y=3x+4

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is equal to 0)

<u>1) Determine the slope (m)</u>

m=\frac{y_2-y_1}{x_2-x_1} where two points that the line passes through are (x_1,y_1) and (x_2,y_2)

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3

Therefore, the slope of the line is 3. Plug this into y=mx+b

y=3x+b

<u>2) Determine the y-intercept (b)</u>

The y-intercept is given; it is 4. Plug this back into y=3x+b

y=3x+4

I hope this helps!

3 0
3 years ago
Let's start by solving this equation:<br> 4(x + 4) = 7x - 5<br> Please answer quick
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\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 45.25}}{\left( \cfrac{6}{100} \right)45.25}\implies 2.715~\hfill \underset{\textit{price plus tax}}{\stackrel{45.25+2.715}{\approx 47.97}}

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