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AlexFokin [52]
2 years ago
10

2/5x - 4 = 10 solve for x

Mathematics
1 answer:
lawyer [7]2 years ago
5 0

Answer: x = +35

Explanation: In this equation, our first step is to isolate the x-term by adding 4 to both sides of the equation. On the left -4 and +4 cancel and we're left with 2/5x and on the right 10 + 4 simplifies to 14.

Now, in order to get <em>x</em> by itself, we must multiply both sides of the equation by the reciprocal of that fraction. The reciprocal of a fraction is just that fraction flipped so the reciprocal of 2/5 is 5/2 so we multiply both sides of the equation by 5/2.

So as we multiply 5/2 times 5/2x, our 5's cancel and our 2's cancel so we are simply left with <em>x</em>. On the right side, 14 and 2 reduce to 7 and 1 so we have 7 times 5 which is 35 so <em>x = 35</em>.

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Which system of linear inequalities is represented by the graph?  ax – 3y &gt; 6 and y &gt; 2x + 4 bx + 3y &gt; 6 and y &gt; 2x 
igor_vitrenko [27]

The <em><u>correct answer</u></em> is:

bx + 3y > 6 and y > 2x + 4

Explanation:

Looking at the second inequality, the y-intercept is 4 and the slope is 2.  This means the graph of the line crosses the y-axis at (0, 4) and the line goes up 2 and over 1.  Since it is greater than, this means the graph is shaded above it.  Comparing this to the graph, the line for the blue part crosses the y-axis at (0, 4) and goes up 2 and over 1.  The graph is also shaded above the line.

For the first inequality, bx+3y > 6, we want to isolate y.  To do this, we subtract bx from each side:

bx+3y-bx > 6-bx

3y > 6-bx

Divide both sides by 3:

3y/3 > 6/3 - bx/3

y > 2 - (b/3)x

This means the line for this will have a y-intercept of 2 and decrease 1 while going over 3.  The orange section does this.  Additionally, since it is greater than, the graph should be shaded above the line.  This one is, so this is the correct answer.

3 0
3 years ago
Read 2 more answers
What is-3/7x-2 in standard form
Eddi Din [679]
If you are given y = (-3/7)x - 2 and you want it in the form Ax+By = C, then...

y = (-3/7)x-2
7*y = 7*( (-3/7)x-2) ... multiply both sides by 7
7y = -3x-14 ... distribute and multiply
7y+3x = -3x-14+3x ... add 3x to both sides
3x+7y = -14

The standard form equation is 3x+7y = -14
3 0
3 years ago
What is the difference of the rational expressions below?
Rom4ik [11]

Answer:

** +2x

Step-by-step explanation:

All the other ones can be it any thing will have difference but how can you do it?

* -sign mutipulcation

2x+* can be different.

O c, OA is N X+2 and more is not a equation. * - can be times really any number.

3 0
2 years ago
What is the solution of <br>3b² = 27<br>c² + 9 = 9​
Papessa [141]

Answer:

Step-by-step explanation:whole divide it

3b^=27

b^=27/3

b^=9

take squre roote

b=3

c^

4 0
3 years ago
Read 2 more answers
What is the a, b, and c of the following quadratic y = - 4x ^ 2 + 5x - 3
Rudik [331]

Answer:

A = -4

B = 5

C = -3

Step-by-step explanation:

Standard form of a quadratic equation is y = Ax² + Bx + C

In the quadratic y = -4x² + 5x - 3, we can use this standard form to find A, B, and C.

Since -4 is the coefficient to x², A is -4.

Since 5 is the coefficient to x, B is 5.

Lastly, since -3 is the last term, C is -3.

So, the answer is:

A = -4

B = 5

C = -3

3 0
3 years ago
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