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JulsSmile [24]
3 years ago
5

Which is the point-slope form of an equation for the line that passes through (0, –5) with slope 2?

Mathematics
1 answer:
VikaD [51]3 years ago
8 0

\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})~\hspace{10em} \stackrel{slope}{m}\implies 2 \\\\\\ \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-\stackrel{y_1}{(-5)}=\stackrel{m}{2}(x-\stackrel{x_1}{0})\implies y+5=2(x-0)

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The following table shows the monthly income and expenses for a new business.
raketka [301]

a. use the month for x

Income

point (1,1500) (2 3500)

slope (y2-y1)/(x2-x1) =(3500-1500)/(2-1)=2000

y-y1=m(x-x1)

y-1500 = 2000(x-1)

y-1500=2000x-2000

y = 2000x-500

Expenses

point (1,21400) (2 18800)

slope (y2-y1)/(x2-x1) =(18800-21400)/(2-1)=-2600

y-y1=m(x-x1)

y-21400 = -2600(x-1)

y-21400=-2600x+2600

y = -2600x+24000


b  2000x-500=-2600x+24000

add 2600x to each side

4600x -500 = 24000

add 500 to each side

4600x = 24500

divide by 4600

x=5.326 months


Solve the system by graphing

{2x - 4y = -4      -4y = -2x-4   y = 1/2x +1  slope is 1/2 y intercept 1

{3x - y = 4    -y =-3x +4   y = 3x-4   slope is 3 y intercept is -4

this one you have to do  cannot graph here  the solution is x=2, y=2


Classify the system without graphing  

{y = 12 - 5x

{x - 4y = -6    

independent system


dependent system is the same line and has infinite solutions

inconsistent system has no solutions  (parallel lines)





6 0
3 years ago
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Mashcka [7]

Answer:

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Step-by-step explanation:

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3 years ago
Pre Algebra
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Answer:

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subtract 12 from both sides: 45+0.50x=1.75x

subtract 0.50x from both sides: 45=1.25x

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8 0
3 years ago
What is the quotient?<br> Зу +2/3y/6y^2+4y/3y+2
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Answer:

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