3/4 + 1/2
multiply 1/2 denominator and numerator by 2 to match 3/4
= 3/4 + 2/4 = 5/4 (copy same denominator add numerator)
2/6 + 1/3
divide 2/6 denominator and numerator by 2 to match 1/3
= 1/3 + 1/3 = 2/3 (copy same denominator add numerator)
5/9 + 2/3
multiply 2/3 denominator and numerator by 3 to match 5/9
= 5/9 + 6/9 = 11/9 (copy same denominator add numerator)
6/9 -1/5
cross multiply 6x5 - 1x9 for numerator
for denominator multiply 9x5
=30/45 - 9/45= 21/45
divide num and den by 3
=7/15
5/8-1/3
cross multiply 5x3-1x8 for numerator
multiply 8x3 for denominator
= 15/24 -8/24 =7/24
To solve for <em>x</em>, we must first isolate the term containing <em>x</em> which in this problem is 5x.
Since 10 is being added to 5x, we subtract 10 from both sides of the equation to isolate the 5x.
On the left, the +10 and -10 cancel out and on the right, 20 - 10 is 10 and we have 5x = 10.
Now we can finish things off by just dividing both sides of the equation by 5. On the left the 5's cancel and on the right, 10 divided by 5 is 2 so <em>x = 2</em>.
Answer:
Average rate of change is <u>0.80.</u>
Step-by-step explanation:
Given:
The two points given are (5, 6) and (15, 14).
Average rate of change is the ratio of the overall change in 'y' and overall change in 'x'. If the overall change in 'y' is positive with 'x', then average rate of change is also positive and vice-versa.
The average rate of change for two points
is given as:
![R=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=R%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Plug in
and solve for 'R'. This gives,
![R= \frac{14-6}{15-5}\\\\R=\frac{8}{10}\\\\R=0.80](https://tex.z-dn.net/?f=R%3D%20%5Cfrac%7B14-6%7D%7B15-5%7D%5C%5C%5C%5CR%3D%5Cfrac%7B8%7D%7B10%7D%5C%5C%5C%5CR%3D0.80)
Therefore, the average rate of change for the points (5, 6) and (15, 14) is 0.80.
The first one equals 0.00116
The second one equals 195,000
the third one equals 0.0286
and the fourth one equals 87,310,000,000,000,000
The smallest one is A 0.00116
Hope this helps, Jesus loves you!