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bonufazy [111]
3 years ago
14

Can someone help with this math question

Mathematics
1 answer:
Bumek [7]3 years ago
3 0
We can find the y-intercept by writing the slope-intercept form of the equation. For that first we need to find the slope of the given line.

Slope=m= \frac{17-3}{10-6}= \frac{7}{2}

Using the slope m =7/2 and a point (6,3) we can write the equation of the line as:

y-3= \frac{7}{2}(x-6) \\  \\ 
y= \frac{7x}{2}-21+3 \\  \\ 
y=  \frac{7x}{2}-18

The equation above is in the slope intercept form.Coefficient of x is the slope and constant term is the y-intercept.

So, the y-intercept for the line is -18. Therefore, option C is the correct answer
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Solve the system of equations using any method. 2X – Y + Z = – 2, 6X + 3Y – 4Z = 8, – 3X + 2Y +3Z = – 6
krok68 [10]

Answer:

Z = - 2, Y = 0, X = 0

Step-by-step explanation:

2X – Y + Z = – 2

6X + 3Y – 4Z = 8

– 3X + 2Y +3Z = – 6

isolate "X" in the first equation

2X - Y + Z = - 2 => isolate "2X"

2X = - 2 - Z + Y => divide either side by 2

X = - 1 - Z/2 + Y/2

substitute this value of X in the second two equations (applying the substitution method here)

6(- 1 - Z/2 + Y/2) + 3Y - 4Z = 8,

6Y - 7Z - 6 = 8

- 3(- 1 - Z/2 + Y/2) + 2Y +3Z = - 6,

Y + 9Z + 6/2 = - 6

isolate Y in the second equation (6Y - 7Z - 6 = 8) and substitute in the third equation (Y + 9Z + 6/2 = - 6)

6Y - 7Z - 6 = 8 => isolate 6Y

6Y = 14 + 7Z => divide either side by 6

Y = 7Z + 14/6 => substitute in second equation

7Z + 14/6 + 9Z + 6/2 = - 6 => solve for Z

61Z + 50/12 = - 6, Z = - 2

substitute the value of Z into the equations "Y = 7Z + 14/6" and using the value of Y and Z, substitute into "X = - 1 - Z/2 + Y/2"

Y = (7(- 2) + 14)/6 = 0 / 6

= 0

X = - 1 - (- 2)/2 + 0/2 = - 1 - (-1) + 0

= - 1 + 1 + 0 = 0

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3 years ago
A theater company made 6,000 programs for their current play. The play will have 20 performances. If they would like to have the
VashaNatasha [74]
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if the total value of the coins is 71$ and she has 9 rolls of dimes, how many rolls of nickels does she have?
Zanzabum

Answer:

18 rolls of nickles

Step-by-step explanation:

One roll of dimes would be the same value as 2 rolls of nickles. If she has 9 rolls of dimes, she would have 18 rolls of nickles.

Dont forget to thanks and rate!

4 0
4 years ago
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Answer:

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Step-by-step explanation:

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