Answer:
Step-by-step explanation:
Let 
![m=(y^3)^{\frac{1}{2}}\\\\m=y^{3\times \frac{1}{2}}\ \ \ \ \ \ \ \ \ [as\ (x^a)^b=x^{ab}]\\\\m=y^{\frac{3}{2}](https://tex.z-dn.net/?f=m%3D%28y%5E3%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5C%5C%5C%5Cm%3Dy%5E%7B3%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%7D%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Bas%5C%20%28x%5Ea%29%5Eb%3Dx%5E%7Bab%7D%5D%5C%5C%5C%5Cm%3Dy%5E%7B%5Cfrac%7B3%7D%7B2%7D)
Answer:
19.3333333
Step-by-step explanation:
You make an improper fraction and multiply
<span>A) How many cups of flour are there per serving?
</span>1 ½ cups of flour --------<span>6 servings
? cups of flour ------- 1 serving
</span>1 ½
------------
6
= 3/2 x 1/6
= 1/4
answer: 1/4 cups of flour per serving
<span>B) how many total cups of sugar(white and brown) are there per serving?
</span>total white and brown: <span>2/3 + 1/3 = 3/3 = 1 cups (combine)
1 cup of sugar (white and brown) </span>--------6 servings
? cups of sugar (white and brown) ------ 1 serving
1
----- = 1/6
6
answer: 1/6 cups of sugar (white and brown) per serving
<span> (c) Suppose you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe?
</span>
3/2 cups of flour --------6 servings
? cups of flour -----------9 servings
9 * 3/2
-----------
6
= (13 1/2) / 6
= 2 1/4
2 1/4 ( 9 servings) - 1 1/2(6 servings) = 3/4 cups
answer: you need 3/4 more cups of flour
Concave up is U-shaped.
There will be a inflection/critical point f'(x) =0 then a negative slope f'(x) = neg then another inflection/critical point f'(x) =0 at the bottom of the U-shape then a positive slope to last inflection/critical point. The interval for the Concave Up shape is the first and last inflection points.
slope intercept form is just solve for y
y+16=3(x-0)
y+16=3(x)
y+16=3x
mius 16 both sides
y=3x-16
3rd option
