Answer:
y = -(2/3)m - 2
Step-by-step explanation:
recall that the general equation of a straight line in slope-intercept form is
y = mx + b
where, m is the slope and b is the y - intercept
here we are given that the y - intercept is -2, hence the equation becomes:
y = mx + (-2)
or
y = mx -2
we are also given that the x-intercept is -3, which means that when y = 0, x = -3 (simply substitute this into our new equation to solve for m)
0 = m(-3) -2
0 = -3m - 2 (add 3m to both sides)
3m = -2 (divide both sides by 3)
m = -(2/3)
hence our equation is now
y = -(2/3)m - 2
The correct way to move the decimal to find the quotient is b. two places to the right.
This is because 100 has two zeroes in it, so you know that you have to move the decimal either two places to the right or two places to the left.
100 is a positive number, and when multiplied by a positive number with a decimal, it makes an even larger number. So, you would move 23.8 decimal place two places to the right.
The solution is 2. -3+5=2
<h2>
Answer: (x = 1)</h2>
Step-by-step explanation:
We are given the equation <em>6(5x - 3) = 1/3(24x + 12)</em>, and we must find the value of <em>x</em>.
The first step is to distribute. Distribute the <em>6 </em>to <em>5x </em>and <em>-3</em>, and distribute<em> 1/3 </em>to <em>24x </em>and <em>12</em>. This give us the equation <em>30x - 18 = 8x + 4</em> to work with.
The next step is to get <em>x </em>by itself. In order to do this, subtract 18 from each side of the equation. This gives get's rid of the <em>-18</em> and get's <em>x </em>by itself on one side of the equation and gives us the equation <em>30x = 8x +22</em>.
Now that x is by itself on one side of the equation, get 22 by itself on the other side of the equation. The way to do this is to subtract 8x from each side. This gives us the equation <em>22x = 22</em>.
Divide both sides by 22 and get the equation <em>x = 1</em>






<em>Hope that this helps and clears it up! Have a great day!</em>
Steps:
6 1/4 - 4 3/15 can also be written as 25/4 - 23/5
The LCD of 4 and 5 is 20.
That gives us 125/20 - 92/20.
Now, just subtract the numerators (leave the denominators the same).
That brings us to 33/20, which can be simplified to 1 13/20
Final Answer:

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