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maksim [4K]
3 years ago
6

What is y=1/2x+4 in standard form?

Mathematics
1 answer:
zhuklara [117]3 years ago
8 0
<h3>Answer:  x-2y = -8</h3>

===========================================

Explanation:

Multiply both sides by 2 to clear out the fraction

y = (1/2)x+4

2y = 2[ (1/2)x + 4 ]

2y = 2*(1/2)x + 2*4

2y = x + 8

Then move the x term over to the left side

2y = x+8

2y-x = 8

-x+2y = 8

Optionally we can multiply both sides by -1

-x+2y = 8

-1*(-x+2y) = -1*8

x-2y = -8

This is in standard form Ax+By = C with A = 1, B = -2, C = -8

The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.

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4 years ago
If the bottom row as a result of sythetic division is 1 3 0 4 0, then the quotient is which of the following? Select one:
zmey [24]

The quotient of the synthetic division is x^3 + 3x^2 + 4

<h3>How to determine the quotient?</h3>

The bottom row of synthetic division given as:

1 3 0 4 0

The last digit represents the remainder, while the other represents the quotient.

So, we have:

Quotient = 1 3 0 4

Introduce the variables

Quotient = 1x^3 + 3x^2 + 0x + 4

Evaluate

Quotient = x^3 + 3x^2 + 4

Hence, the quotient of the synthetic division is x^3 + 3x^2 + 4

Read more about synthetic division at:

brainly.com/question/18788426

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3 0
2 years ago
What is the equation of the line through (5,1) with a slope of -3?
PilotLPTM [1.2K]

Answer:

C

Step-by-step explanation:

The equation of a line is given by the formula  y-y_1=m(x-x_1)

Where x_1 is the x-coordinate (it is given as 5)

y_1 is the y-coordinate (it is given as 1), and

m is the slope (it is given  as -3)

Plugging in all the info into the formula we have:

y-y_1=m(x-x_1)\\y-1=-3(x-5)

From the answer choices, we see that C is the correct answer.

7 0
3 years ago
Read 2 more answers
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