Answer: 8 oz
Step-by-step explanation:
Cost less per oz
Answer:
- (-1, -32) absolute minimum
- (0, 0) relative maximum
- (2, -32) absolute minimum
- (+∞, +∞) absolute maximum (or "no absolute maximum")
Step-by-step explanation:
There will be extremes at the ends of the domain interval, and at turning points where the first derivative is zero.
The derivative is ...
h'(t) = 24t^2 -48t = 24t(t -2)
This has zeros at t=0 and t=2, so that is where extremes will be located.
We can determine relative and absolute extrema by evaluating the function at the interval ends and at the turning points.
h(-1) = 8(-1)²(-1-3) = -32
h(0) = 8(0)(0-3) = 0
h(2) = 8(2²)(2 -3) = -32
h(∞) = 8(∞)³ = ∞
The absolute minimum is -32, found at t=-1 and at t=2. The absolute maximum is ∞, found at t→∞. The relative maximum is 0, found at t=0.
The extrema are ...
- (-1, -32) absolute minimum
- (0, 0) relative maximum
- (2, -32) absolute minimum
- (+∞, +∞) absolute maximum
_____
Normally, we would not list (∞, ∞) as being an absolute maximum, because it is not a specific value at a specific point. Rather, we might say there is no absolute maximum.
You can start by drawing a number line and labeling it with eighths. ( 1/8, 2/8, etc.) Then you can place a dot on 3/8 and 5/8. From there, it's clear to see that 5/8 is greater than 3/8.
The sum must be irrational in contradiction to it being rational
Answer: x = 4
Step-by-step explanation: To solve this equation, we could go right to our steps of subtracting 5.4 from both sides, but I would do a slightly different approach.
Since I hate working with decimals, I would get rid of them.
We can do this by multiplying both sides of the equation by 10, and remember to multiply every term by 10 to keep it balanced.
*Multiplying by 10 shifts the decimal point 1 place to the right
So we have 35x + 54 = 194 which looks a lot better.
Now subtract 54 from both sides to get 35x = 140.
Now divide both sides by 35 and x = 4.