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).
__
A graphing calculator confirms this result.
The opposite of smth on a number line.
Answer:
the tent can hold 8.66 lb of water (or 240 in³ of it)
Step-by-step explanation:
assuming that the tent base is a rectangular area , and the vertical cross section is triangular , then the volume of the tent will be:
Volume of the tent = Area* height/2 = 60 in² * 8 in / 2 = 240 in³
assuming the density of water as 62.4 lb/ft³ then
mass of water = density * volume = 62.4 lb/ft³ * 240 in³ * (1 ft / 12 in)³ = 8.66 lb
then the tent can hold 8.66 lb of water (or 240 in³ of it)
Answer:
24
Step-by-step explanation:
Solution:
- (x² + x – 12)(x² + 10x + 25)
- => (x⁴ + 10x³ + 25x²) + (x³ + 10x² + 25x) + (-12x² - 120x - 300)
- => x⁴ + 10x³ + 25x² + x³ + 10x² + 25x - 12x² - 120x - 300
- => x⁴ + (10x³ + x³) + (25x² + 10x² - 12x²) + (25x - 120x) - 300
- => x⁴ + (11x³) + (23x²) + (-95x) - 300
- => x⁴ + 11x³ + 23x² - 95x - 300
The only term that has a x-variable is "-95x".
The coefficient of x is -95.
