Answer:

Step-by-step explanation:
First, we can find the slope using the slope equation and two of the points.
Slope equation:

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

Simplify:

Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

Answer:
24
Step-by-step explanation:
Answer:
f(5) = 26.672 which is option D
Step-by-step explanation:
From question, f(1) = 2 and f'(x)=√(x^3 + 6)
f(5) = f(1) + (5,1)∫ f'(x) dx
Integrating using the boundary 5 and 1;
f(5) = 2 + (5,1)∫√(x^3 + 6) dx
f(5) = 2 + 24.672
So f(5) = 26.672
I'm assuming the pail holds 6 3/4 (not 634) gallons of water.
1 gallon= 16 cups
Multiply total gallons by cups per 1 gallon.
= 6 3/4 cups * 16 cups/gallon
convert mixed number to improper fraction
= 27/4 * 16
multiply numerators
= (27*16)/4
multiply in parentheses
= 432/4
= 108 cups
ANSWER: There are 108 cups
Hope this helps! :)
X^2+12x-28
(x-2)(x+14)
Solve for x
x-2=0
x=2
x+14=0
x=-14