You add and subtract unlike fractions by finding a common denominator, which is basically the LCM (Least Common Multiple) of the two numbers. Then, once the two fractions have the same base, you can straight up add the numerators, and if possible, simplify. Here are some examples:
1/5 + 3/10 = ?
Denominators = 5, 10
What is the LCM?
=> 10
Therefore...
1/5 × (2/2) + 3/10 = ? (The paranthesis next to 1/5 shows how we are creating a common denominator)
2/10 + 3/10 = ?
= 5/10
= 1/2 (Simplify)
Hope this helped and have a phenomenal day!
We evaluate f (x) between [0, 2]
We have then:
f (x) = x2 + 2x +3
f (0) = (0) 2 + 2 (0) +3 = 3
f (1) = (1) 2 + 2 (1) +3 = 6
f (2) = (2) 2 + 2 (2) +3 = 11
We observe that the function g between [0, 2] is between 4 and 7
We observe that the function h is a linear equation whose rate of change is constant and equal to three.
Answer:
from least to greatest, by the rate of change of functions over the interval [0, 2] we have:
g, h, f
Answer: 
<u>Step-by-step explanation:</u>
f(x) = 2x² + 3x - 2
![\text{Add 2 to both sides:}\\f(x) + 2 = 2x^2+3x\\\\\\\text{Factor out 2 on the right side:}\\f(x) + 2 = 2\bigg(x^2+\dfrac{3}{2}x\bigg)\\\\\\\text{Add the value that creates a perfect square on the right side:}\\f(x) + 2 + 2\bigg(\dfrac{3}{2\cdot2}\bigg)^2=2\bigg[x^2+\dfrac{3}{2}x+\bigg(\dfrac{3}{2\cdot2}\bigg)^2\bigg]\\\\\\\text{Simplify:}\\f(x)+2+\dfrac{9}{8}=2\bigg(x+\dfrac{3}{4}\bigg)^2\\\\\\\text{Isolate f(x):}\\f(x)=2\bigg(x+\dfrac{3}{4}\bigg)^2+\dfrac{-25}{8}\\](https://tex.z-dn.net/?f=%5Ctext%7BAdd%202%20to%20both%20sides%3A%7D%5C%5Cf%28x%29%20%2B%202%20%3D%202x%5E2%2B3x%5C%5C%5C%5C%5C%5C%5Ctext%7BFactor%20out%202%20on%20the%20right%20side%3A%7D%5C%5Cf%28x%29%20%2B%202%20%3D%202%5Cbigg%28x%5E2%2B%5Cdfrac%7B3%7D%7B2%7Dx%5Cbigg%29%5C%5C%5C%5C%5C%5C%5Ctext%7BAdd%20the%20value%20that%20creates%20a%20perfect%20square%20on%20the%20right%20side%3A%7D%5C%5Cf%28x%29%20%2B%202%20%2B%202%5Cbigg%28%5Cdfrac%7B3%7D%7B2%5Ccdot2%7D%5Cbigg%29%5E2%3D2%5Cbigg%5Bx%5E2%2B%5Cdfrac%7B3%7D%7B2%7Dx%2B%5Cbigg%28%5Cdfrac%7B3%7D%7B2%5Ccdot2%7D%5Cbigg%29%5E2%5Cbigg%5D%5C%5C%5C%5C%5C%5C%5Ctext%7BSimplify%3A%7D%5C%5Cf%28x%29%2B2%2B%5Cdfrac%7B9%7D%7B8%7D%3D2%5Cbigg%28x%2B%5Cdfrac%7B3%7D%7B4%7D%5Cbigg%29%5E2%5C%5C%5C%5C%5C%5C%5Ctext%7BIsolate%20f%28x%29%3A%7D%5C%5Cf%28x%29%3D2%5Cbigg%28x%2B%5Cdfrac%7B3%7D%7B4%7D%5Cbigg%29%5E2%2B%5Cdfrac%7B-25%7D%7B8%7D%5C%5C)
To answer this question, you must first understand what a fourth is. 1/4 is simply when a one is split into four parts, and you take one of those parts. Imagine you have a pie, and you cut it into four equal pieces. If you take one of those four pieces, you have one fourth of the pie. So if you have three fourths of the pie, you have three pieces out of the four total. This question is basically asking: "If you have three pieces out of four, how many pieces do you need to make one whole pie?"
Therefore, the problem looks like this:
3/4 + ?/4 = 1
and therefore the answer is 1/4 because you only need one fourth to make a whole number.
20/100 = 1/5
Add up the numbers (20, 45 , 30 ,5) then there are 20 watermelon flavoured ones so it will be 20/100=1/5
