Lcm for 6 and 8 is 24
24/6=4
24/8=3
slice every piece in the first pizza into 4 equal pieces
and every piece in the second pizza into 3 equal pieces.
Answer:
31/35
Step-by-step explanation:
The fraction of the money raised by Fiona and Patrick is the sum of the fractions given for the money raised by both of them. Given that Fiona raised 2/7 of the money and Patrick 3/5, the sum of these 2 fractions
= 2/7 + 3/5
make the lowest common multiple of the denominators the base and multiply the numerators by it
= (10 + 21)/35
= 31/35
Step-by-step explanation:
<u>Step 1: Factor the equation</u>
![f(x) = -16x^{2} + 22x + 3\\f(x) = -(8x + 1)(2x - 3)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-16x%5E%7B2%7D%20%2B%2022x%20%2B%203%5C%5Cf%28x%29%20%3D%20-%288x%20%2B%201%29%282x%20-%203%29)
<u>Step 2: Find the x-intercepts of the graph of f(x)</u>
<u />![-8x - 1 + 1 = 0 + 1\\-8x / -8 = 1 / -8\\x = -1/8](https://tex.z-dn.net/?f=-8x%20-%201%20%2B%201%20%3D%200%20%2B%201%5C%5C-8x%20%2F%20-8%20%3D%201%20%2F%20-8%5C%5Cx%20%3D%20-1%2F8)
![2x - 3 + 3 = 0 + 3\\2x / 2 = 3 / 2\\x = 3/2](https://tex.z-dn.net/?f=2x%20-%203%20%2B%203%20%3D%200%20%2B%203%5C%5C2x%20%2F%202%20%3D%203%20%2F%202%5C%5Cx%20%3D%203%2F2)
<u>Step 3: Describe the end behavior of the graph of f(x)</u>
Since the function is to the power of 2, that means that it is a parabola. And since the leading coefficient is negative, means that the arrows will be pointing down therefore, the end behavior of this graph is as x goes to infinity, f(x) goes to negative infinity and as x goes to negative infinity, f(x) goes to negative infinity.
<u>Step 4: What are the steps you would use to graph f(x)</u>
The first step that I would do is factor the equation. Then I would find the x-intercepts of the graph and plot them on the graph. I would then plug in 0 for all of the x values to get the y intercept. After doing that I would get the vertex using the vertex formula plotting it on the graph. Finally, I would connect all of the dots together to form the graph of the equation.