Answer:
f = -3 , 5/2
Step-by-step explanation:
8f² + 4f - 60 = 0
Divide the entire equation by 4
2f² + f - 15 = 0
Product = -30
Sum = 1
Factors = -5 , 6 {(-5)*6 = -30 and -5 +6 = 1}
2f² + f -15 = 0 {Rewrite the middle term using the factors}
2f² + 6f - 5f -15 = 0
2f(f + 3) - 5(f + 3) = 0
(f +3) (2f - 5) = 0
f +3 = 0 ; 2f -5 = 0
f = -3 ; 2f = 5
f = 5/2
You will need 3.333.... cups of rice to make 10 servings of casserole.
<u><em>Explanation</em></u>
The recipe which makes 6 servings of casserole, needs 2 cups of rice.
Suppose, you need
cups of rice for making 10 servings of casserole.
Now, the equation according to <u>the ratio of "cups of rice" to the "servings of casserole" </u>will be.....

So, you will need 3.333.... cups of rice to make 10 servings of casserole.
Answer:
middle one, it is he line of best fit
The first thing to do is to get the graph. That's below. That is a very wicked looking graph. I'm not sure what happens at 0. I'm not sure it is continuous at 0. That's something to make a fuss over because x = 0 is one of the x intercepts.
y = - x^(2/5)(x(5/5) + 7).
y = - x^(2/5)(x + 7)
So one of the x intercepts is 0 and the other one is -7.
The reasons are known because the factors can be equated to 0. It does not look to me like there is exact symmetry. There is a local minimum however at what the graph says is (-2,-6.5 or so)
You could differentiate that to find the exact point, but you are not asked for that.
So the domain is from -∞ to zero and 0 to plus ∞ I think you have to exclude 0 even though it is an x intercept.
The graph decreases from -∞ < x < -2
It increases from -2 < x < 0
It decreases form 0< x < ∞
In a 30-60 right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
so RT= 10