Step-by-step explanation:
Slope = 3 (Coefficient of x)
y-intercept = -2
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.
Yes, my dear~♥️.
x=1, y=7
x=2, y=9
x=3, y=11
x=4, y=13
So your answer is point B.)
The answer to the question is 33%. Hope this helps!
Answer:
30 leaps
Step-by-step explanation:
Equation of rabbit:
y=7x+150
Equation of kangaroo:
y=12x
To solve the system of equations, use substitution
12x=7x+150
5x=150
x=30
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