Answer:
answer : x = 3±√ 119 / 16
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Answer:
1 2/3 or 1 hour and 20 mins
Step-by-step explanation:
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.
She burns 250 by herself and she burns 3 times as many with her sister.
Multiply the calories by herself by 3:
250 x 3 = 750
Now you need to multiply that by the number of hours.
The formula is a. t[c(h)] = 750h
Answer:
-3
Step-by-step explanation:
-1 -2 = -3