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KATRIN_1 [288]
3 years ago
13

3x + 2y = 5 - y solve for y

Mathematics
1 answer:
shusha [124]3 years ago
7 0
Minus 3x from both sides
2y=5-3x-y
add y to boht sides
3y=5-3x
divide both sides by 3
y=(5/3)-x
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Answer:

Step-by-step explanation:

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Your brother is 1/3 your age. Your sister is 6 years older than your bother. Your sister is 10. Write and solve an equation to f
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A section of guttering can hold up to 20 litres of rainwater. The diameter is 11cm. Work out the length in metres.
m_a_m_a [10]

Answer:

2.1 m

Step-by-step explanation:

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3 years ago
Doug earns $10.50 per hour working at a restaurant. On
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First, add all of the working hours.
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3 years ago
Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?
AlekseyPX

Answer:

The vertex form is y = -3(x + 2)² + 10

Step-by-step explanation:

* Lets revise how to put the quadratic in the vertex form

- The general form of the quadratic is y = ax² + bx + c, where

 a , b , c are constants

# a is the coefficient of x²

# b is the coefficient of x

# c is the numerical term or the y-intercept

- The vertex form of the quadratic is a(x - h)² + k, where a, h , k

 are constants

# a is the coefficient of x²

# h is the x-coordinate of the vertex point of the quadratic

# k is the y-coordinate of the vertex point of the quadratic

- We can find h from a and b ⇒ h = -b/a

- We find k by substitute the value of h instead of x in the general form

 of the quadratic

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* Now lets solve the problem

∵ y = -3x² - 12x - 2

∵ y = ax² + bx + c

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∵ h = -b/2a

∴ h = -(-12)/2(-3) = 12/-6 = -2

- Lets find k

∴ k = -3(-2)² - 12(-2) - 2 = -3(4) + 24 - 2 = -12 + 24 - 2 = 10

* Lets writ the vertex form

∵ y = a(x - h)² + k

∵ a = -3 , h = -2 , k = 10

∴ y = -3(x - -2)² + 10

∴ y = -3(x + 2)² + 10

* The vertex form is y = -3(x + 2)² + 10

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3 years ago
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