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3 years ago

How to graph 2x-y=3

Mathematics

2 answers:

WINSTONCH [101]3 years ago

5 0

First you would need to convert the equation to match the y = mx + b format.

Subtract 2x from both sides to get -y = -2x + 3

Then, divide -1 (because that's the coefficient to -y, on all values, turning to equation into
y = 2x - 3 (negative and negative makes a positive that's why the 2 value is now positive) in order to make the y value positive.

Our y intercept is -3 so start your graphing line on the -3 value on the x axis.

Our slope is 2/1 which means to go up 2 point and right 1 point, since it's a positive slope.

You can mark every point in order to get a more accurate line and just connect the dots from there. Be sure to use a ruler or some sort of straightedge for a better line.

Hope this helped :)

11Alexandr11 [23.1K]3 years ago

4 0

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The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7, then the cube root of the l

choli [55]

Answer:

Step-by-step explanation:

Let the two perfect cubes be x and y where x > y.

According to the given conditions:

${x}^{3} - {y}^{3} = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\ {x}^{3} - {7}^{3} = 386 \\ {x}^{3} - 343 = 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 729 \\ x = \sqrt[3]{729} \\ x = 9$

Thus the cube root of the larger number is 9.

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3 years ago

When x-y=3 work out the value of y-x

GalinKa [24]

The value of y-x is (-3)

<u>Solution:</u>

Given: The value of x-y=3

To find: The value of y-x

$\bold{x-y=3\rightarrow (1)}$

Let's multiply the equation (1) by (- 1) on both sides,

$\Rightarrow\bold{(x - y)\times(- 1) = 3\times(- 1)}$

$\Rightarrow\bold{-(x-y)=-3}$

On multiplying the sign,

$\Rightarrow\bold{(-x+y)=-3}$

The above equation can also be written as,

$\Rightarrow\bold{y-x=-3\rightarrow \text{(The required equation)}}$

<u>Multiplication of signs:</u>

$\Rightarrow( + )\times( + ) = ( + )$

$\Rightarrow( + )\times( - ) = ( - )$

$\Rightarrow( - )\times( + ) = ( - )$

$\Rightarrow( - )\times( - ) = ( + )$

In simpler terms, when we multiply two integers with the same signs, the result is always positive and when we multiply two integers with different signs, the result is always negative.

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3 years ago

Write the quadratic equation in standard form. What is the value of b 2 - 4ac?

Fittoniya [83]

B^2 - 4ac > 0
2x^2 +7x -1 =0
b =7 a=2 c= -1
b^2 - 4ac = 7^2 - 4*2*(-1)
= 49 + 8
= 57

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3 years ago

Which equation has infinitely many solutions? A) 4x + 3 3 = 4x + 5 B) 10x + 8 2 = 5x + 4 C) 8x − 5 3 = 2x − 2 D) 8x − 5 2 = 4x −

abruzzese [7]

Answer: If the left side and the right side of the equation are equal, the equations has infinitely many solutions.

Step-by-step explanation:

The options are not clear, so I will give you a general explanation of the procedure you can use to solve this exercise.

The Slope-Intercept form of the equation of a line is the following:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

For this exercise you need to remember that, given a System of Linear equations, if they are exactly the same line, then the System of equations has Infinitely many solutions.

If you have the following system:

$\left \{ {{y=2x+1} \atop {y=\frac{12}{6}x+1}} \right.$

You can simplify the second one:

$y=2x+1$

Then, both equations are the same line.

By definition you can also write the systemf making both equations equal to each other:

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So, if the left side and the right side are equal, the equations has infinitely many solutions.

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3 years ago

Please help with solving this problem....!!!

kifflom [539]

Answer:

The Average Temperature for the week is -1°C

Step-by-step explanation:

First to find the average, you have to combine all the numbers

-3-4+0-2+0+3-1 = -7

Then you have to divide the total, with the number of numbers used to combine to make the total

-7 ÷ 7 = -1

The average temperature is -1°C

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3 years ago