Answer:
b=4
Step-by-step explanation:
So, we have the function 
. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).
f(2) = 1/(2) = 1/2
So, we have the point (2, 1/2)
At point b, f(b) = 1/b.
Let's plug this into the slope formula:
Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).
Now, cross multiply.
Solve for b. Factor using the numbers -4 and -2.
Thus, b=4 or b=2.
However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.
Answer:
$8.00
Step-by-step explanation:
Let's set up the equation first.
What do we know:
1. We have 6 friends spliting the costs of the gifts
2. After purchasing the gifts they have $42 in change
3. They originally had $90 to spend.
Equation:
6f + $42 = $90
Next: Subtract the $42 from each side and we are left with:
6f = $48
Divide both sides by 6 and we are left with
f = $8
Since f represented the cost each friend spent our answer is $8.00
This is a quotient (division) of two functions we must be concerned with the fact that division by zero is undefined.
Since g(x) is in the divisor position, it cannot equal 0.
Subtract 6 from both sides to solve.
So the domain is all real numbers except -6
Set notation {x | x ∈ R, x ≠ -6}
Interval notation (-∞,-6)∪(-6,∞)
I do believe it would be x=30
No, because if you add 184 and 145 you get 329. then you would take 329 and divide it by 60 because that’s how much each mold holds. that comes out to be 5.48 (rounded). you would be able to fill 5 molds, but not enough batter for 6
