Answer:
w=3 1\4
Step-by-step explanation:
A=LxW
a=14 1\12
l=4 1\3
w=?
14 1\12=4 1\3 x w
14 1\12 divided by 4 1\3=13\4=3 1\4
w=3 1\4
Hello!
To find the maximum value of the function f(x) = -3(x - 10)(x - 4), the easiest way is to find the vertex using the formula: x = -b/2a.
Firstly, we need to simplify f(x).
f(x) = -3(x - 10)(x - 4)
f(x) = -3(x² - 14x + 40)
f(x) = -3x² + 42x + -120
Since the equation f(x) is now simplified to standard form, we can find the vertex.
a = -3, b = 42, and c = -120
x = -(42)/2(-3) = -42/-6 = 7
Then, we substitute 7 into the the function f(x) = -3(x - 10)(x - 4), or
f(x) = -3x² + 42x + -120, to find the y-value of the vertex.
f(x) = -3(7 - 10)(7 - 4)
f(x) = -3(-3)(4)
f(x) = 27
The vertex of f(x) is (7, 27).
Therefore, the maximum x-value for the function f(x) is 7.
Since these are all like terms, you're essentially just adding and subtracting here.
Add 
and 
.
Then, subtract.
Your answer is 
.
A=1/2(h)(3/4h)
A=3/8h²
h²=8/3(A)
h=√8A/3
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