Her mistake is that she did the change in x over the change in y. It should be the change in y over the change in x. So: -2-3/-2-4
Given equation :
2/3 y + 15 = 9.
We need to subtract 15 from both sides first.
<h3>2/3 y + 15-15 = 9 -15 <em>Subtraction property of equality.</em></h3>
Now, we need to simplify it.
We get
<h3>2/3 y = - 6 <em> simplification </em></h3>
Now, we need to get rid 2/3 from left side.
On multiplying both sides by 3/2,
<h3>2/3 y * 3/2 = - 6 * 3/2 <em>Multiplication property of equality.</em></h3>
On simplifying, we get
<h3>y = -9 <em>simplification </em></h3>
To change 3 1/4 to an improper fraction, we must transfer the mixed number, which contains a fraction (1/4) and whole number (3), to just a fraction.
To do this, we must transfer 3 to a fraction with the denominator being 4
We can do 3 x 4 to find the number on top.
3 x 4 = 12
To check to make sure we did it right, we can do 12 / 4 which = 3 (√ check!)
Then we add 1/4 to 12/4 to get B. 13/4
To find 12 meters in 28 seconds, you will divide the 12 by 28 as follows:
12 / 28 = 3/7
Dividing distance by time usually gives you velocity. This means that moving 12 meters in 28 seconds means that the object moves 3/7 meters in one second.
Power rule. d/dx(x^n) = nx^(n-1)
We can pull the 5 out and multiply it back in later.
d/dx(x^2) = 2x
2(10) = 20*5 = 100
