Answer:
P = (2, 3)
Step-by-step explanation:
P is a local minimum, so can be found from the upper zero of the derivative.
y' = 0 = 3x^2 -8x +4
0 = (3x -2)(x -2)
x = 2/3, x = 2
So, the x-coordinate of P is 2. The y-coordinate is found by evaluating the function:
y = ((x -4)x +4)x +3 = ((2 -4)2 +4)2 +3 = 3
The coordinates of P are (2, 3).
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A graphing calculator confirms this result.
9514 1404 393
Answer:
$109.38
Step-by-step explanation:
The time worked was ...
(12:00 -8:00) +(17:30 -12:45) = 4:00 + 4:45 = 8:45 . . . . hours:minutes
This is 8 45/60 hours = 8 3/4 hours = 8.75 hours.
The pay for 8.75 hours is ...
8.75 × $12.50 = $109.375 ≈ $109.38
Answer:
There's two of them, of which are the 3rd and 5th option
Step-by-step explanation:
The formula for calculating a prism is <em>length</em> times <em>width, </em>times the height because it is a 3d object. <em>Length</em> times <em>width</em> is the same as B(base), so those two are the exact same. Don't let that fool you.
Here's a little abstract context:
You've got one loaf of bread right? Well, pretend it's 3 inches by 4 inches. You have one slice, one layer, with 12 inches squared as its area. To make it a loaf, you stack the layers up by multiplying that slice of bread by the value of h.
The correct answer is 74 because 3*26=78 and 78-4=74
Answer:True, False, False, True
Step-by-step explanation:
