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3 years ago

What is the final step in the inequality -2(5-4x)<6x-4

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

4 0

Answer:

x < 3

Step-by-step explanation:

-2(5-4x)<6x-4

In this inequality, we are to solve for x using the steps below;

-2(5-4x)<6x-4

Expand the parentheses on the left hand side of the expression;

-10 + 8x < 6x - 4

Collect like terms to both sides;

-10 + 4 < 6x - 8x

-6 < -2x

Divide both sides by - 2; Note the sign of the inequality changes;

3 > x or x < 3

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Solve algebraically the simultaneous equations<br><br> X^2 + Y^2 =25<br> Y-2X = 5

Georgia [21]

Answer:

Therefore the solutions are

$x=0\\and\\ y =5\\\\Or\\\\x=-4\\and\\y=-3$

Step-by-step explanation:

Given:

$x^{2} + y^{2} =25$ .........( 1 )

$y-2x = 5\\y=2x+5$ ................( 2 )

To Find:

x = ?

y = ?

Solution:

Substituting ' y ' in Equation 1 we get

$x^{2}+(2x+5)^{2} =25$

Using identity (A+B)²=A²+2AB+B² we get

$x^{2}+4x^{2}+20x+25=25\\\\5x^{2}+20x=0\\5x(x+4)=0\\5x=0\ or\ x+4=0\\x=0\ or\ x= -4$

Now Substitute x =0 in equation 2 we get

$y=2\times 0+5=5$

Now Substitute x =-4 in equation 2 we get

$y=2\times -4+5=-3$

Therefore the solutions are

$x=0\\and\\ y =5\\\\Or\\\\x=-4\\and\\y=-3$

4 0

4 years ago

HEEEELP PLEAAASE I NEED THISSS!!!!!!!!!!!!!!! BRANILIEST FOR THR RIGHT ANSWER

Andru [333]

Answer:

Step-by-step explanation:

I think so not sure try it tho

5 0

3 years ago

Determine the intercepts of the line. Do not round your answers. 7x-5=4y-6

guajiro [1.7K]

The intercepts are x intercept: (-1/7,0) and y intercept: (0,1/4)

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

The function is given as:

7x-5=4y-6

Set y = 0 to determine the x-intercept

7x - 5 = -6

Add 5 to both sides

7x = -1

Divide by 7

x = -1/7

Set x = 0 to determine the y-intercept

- 5 = 4y - 6

Add 6 to both sides

4y = 1

Divide by 4

y = 1/4

Hence, the intercepts are x intercept: (-1/7,0) and y intercept: (0,1/4)