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valina [46]
3 years ago
12

Will give brainleist

Mathematics
1 answer:
Natalka [10]3 years ago
8 0

Answer:

A.) 3n+m+2p

Step-by-step explanation:

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What is the justification for each step in the solution of the equation?
Alexandra [31]

For this case we have the following equation:

\frac{2}{3}x-\frac{1}{3}= 2 (x + 2)\\

If we multiply both sides of the equation by 3 we get:

2x-1 = 6 (x + 2) ---> Multiplication Property of Equality

Applying the distributive property we have:

2x-1 = 6x + 12 ---> Distributive Property

Adding 1 on both sides of equality we have:

2x-1 + 1 = 6x + 12 + 1\\

2x = 6x + 13 ---> Addition Property of Equality

Subtracting 6x on both sides we have:

-6x + 2x = 6x-6x + 13\\

-4x = 13 ---> Subtraction Property of Equality

Finally, dividing by -4 on both sides we have:

\frac{-4x}{-4}= \frac{13}{-4}\\

x = -\frac{13}{4}---> Division Property of Equality


5 0
3 years ago
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What is the vertex of this parabola? y= 2x² + 4x +5
uranmaximum [27]

Answer:

vertex = (- 1, 3 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = 2x² + 4x + 5 ← is in standard form

with a = 2, b = 4, then

x_{vertex} = - \frac{4}{4} = - 1

Substitute x = - 1 into the equation for corresponding value of y, that is

y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3

vertex = (- 1, 3 )

6 0
3 years ago
Find the quotient. Write your answer in simplest form.
Llana [10]
B. 1/18

1/3/6= 1/3 x 1/6

3 0
3 years ago
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You find that the average number of pets owned by students is 3.4, with a standard deviation of 1.2 If the distribution was not
Komok [63]

Answer:

Step-by-step explanation:

7 0
3 years ago
What value of x makes the equation -2/3x + 3 1/3x - 1/2 = -1/3x + 5 1/2 true? Please help ASAP!!!!!!!!
Naddika [18.5K]

Answer:

<h2>x = 2</h2>

Step-by-step explanation:

<h2 />

The steps of the solution in the photo above

I hope that is useful for you :)

3 0
2 years ago
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