Answer:
x = 12
Step-by-step explanation:
Step 1: Define
f(x) = 4x + 6
f(x) = 54
Step 2: Substitute variables
54 = 4x + 6
Step 3: Solve for <em>x</em>
<u>Subtract 6 on both sides:</u> 48 = 4x
<u>Divide both sides by 4:</u> 12 = x
Step 4: Check
<em>Plug in x to verify it is a solution.</em>
f(12) = 4(12) + 6
f(12) = 48 + 6
f(12) = 54
To get the extrema, derive the function.
You get y' = 2x^-1/3 - 2.
Set this equal to zero, and you get x=0 as the location of a critical point.
Since you are on a closed interval [-1, 1], those points can also have an extrema.
Your min is right, but the max isn't at (1,1). At x=-1, you get y=5 (y = 3(-1)^2/3 -2(-1); (-1)^2/3 = 1, not -1).
Thus, the maximum is at (-1, 5).
Answer:
Prime numbers are whole numbers that are greater than 1 which only have factors of 1 and itself.
The area of the triangle is 1358 square feet
Step-by-step explanation:
Area = 1/2 (base * height)
Area = 1/2 (56 * 48.5)
Area = 1/2 (2716)
Area = 1358
Answer:
40 + ( -63) is less
Step-by-step explanation:
.... .....
Answer:
15/16
Step-by-step explanation:
3 3/4 divided by 4 = 15/16