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.
Answer =
E = 1/2 = 0.500
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Now you need to rearrange the problem ( common sense :) :
1/2 * e - (1/4 ) = 0 | Now we need to Simplify 1/4 : 1/2 * e - 1/4 = 0
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Now we need to simplify 1/2 : 1/2 * e - 1/4 = 0
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What are there denominators??? = 2 and 4 ,,,,,, DUH . LOL
The lease common multiple is 4.
Now divide 1/2 by e which is 1/2 = 0.500
i hope this helps you a lot
Answer: x = 27°
Step-by-step explanation: Both are alternate interior angles
D. You need the data values to figure it out