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Andrew [12]
2 years ago
15

Write the equation of a line in slope-intercept form that has a slope of -1/4x and a y-intercept of 5

Mathematics
1 answer:
lesya692 [45]2 years ago
4 0

Answer:

Step-by-step explanation:

Slope = m = -1/4

y-intercept = b = 5

Slope intercept form = y = mx +b

y =\dfrac{-1}{4}x+5

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9. Solve the following system of equations. x + 2y − 6 = z 3y − 2z = 7 4 + 3x = 2y − 5z A. x = 0, y = 5, z = 4 B. C. D. x = 2, y
Inessa [10]
X + 2y - 6 = z..........x + 2y - z = 6
3y - 2z = 7
4 + 3x = 2y - 5z.....3x - 2y + 5z = -4

x + 2y - z = 6.....multiply by -3
3x - 2y + 5z = -4
---------------------
-3x - 6y + 3z = -18 (result of multiplying by -3)
3x - 2y + 5z = -4
--------------------add
-8y + 8z = - 22

-8y + 8z = -22
3y - 2z = 7 .....multiply by 4
----------------
-8y + 8z = -22
12y - 8z = 28 (result of multiplying by 4)
----------------add
4y = 6
y = 6/4 reduces to 3/2

-8y + 8z = -22
-8(3/2) + 8z = -22
-12 + 8z = -22
8z = -22 + 12
8z = -10
z = -10/8 reduces to -5/4

x + 2y - 6 = z
x + 2(3/2) - 6 = -5/4
x + 3 - 6 = -5/4
x - 3 = -5/4
x = -5/4 + 3
x = -5/4 + 12/4
x = 7/4

solution is (7/4, 3/2, -5/4).....x = 7/4, y = 3/2, and z = -5/4
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3 years ago
What is the relationship between the 6s in the number 660472
kirill115 [55]
It would be sixty six hundred thousand four hundred and seventy-two.
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Step-by-step explanation:

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Paula would choose the side with all of the mushrooms and half of the pepperoni. She wont choose any sausage because she doesn't like it, but luckily David likes sausage twice as much as mushroom so he's fine with getting all of the sausage and half of the pepperoni. They both equally like pepperoni so it makes sense for them to share.

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3 years ago
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