F(x) = -2(x - 3)² + 2
f(x) = -2(x - 3)(x - 3) + 2
f(x) = -2[x(x - 3) - 3(x - 3)] + 2
f(x) = -2[x(x) - x(3) - 3(x) - 3(-3)] + 2
f(x) = -2(x² - 3x - 3x + 9) + 2
f(x) = -2(x² - 6x + 9) + 2
f(x) = -2(x²) - 2(-6x) - 2(9) + 2
f(x) = -2x² + 12x - 18 + 2
f(x) = -2x² + 12x - 16
Answer:
Devin will need 9 cubes of wax.
Step-by-step explanation:
To find the volume of the pyramid, you use (area of the base)* height of the pyramid divided by 3. You know the volume of a cube of wax is 32 cm^3. The volume of your pyramid is 270 cm^3. 270/32=8.4375.
Once you get 8.4375 cubes, you round to the next whole number, which is nine.
Answer:
1/27
Step-by-step explanation:
3x²= 3 * (1/9)² = 1/27
Answer:
57.926%
Step-by-step explanation:
Calculation for the probability that it is less than
16.4 inches long
Using this formula
z = (X - μ) / σ
Where,
X represent Date=16.4
μ represent Mean=16.2
σ represent Standard deviation=0.9 inches
Let plug in the formula
z = (16.4 - 16.2) /0.9 inches
z=0.2/0.9 inches
z = 0.2
Using Z-score table to find the area of 0.2
z=0.57926*100
z=57.926%
Therefore the probability that it is less than
16.4 inches long is 57.926%
Answer:
arc AE = 125 deg
Step-by-step explanation:
As the property of angle at the center O of a circle:
angle AOE = arc AE
=> arc AE = 125 deg
Hope this helps!
