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.
Evaluate the power 3600-6.3 x 100, then your gonna want to multiply the numbers 3600-630 , once you subtract the numbers your answer will be 2970
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Answer:
Area of ΔQRS = 2.3 square inches
Step-by-step explanation:
From the given information,
<S + <Q + <R = 
51 + 44 + <R = 
95 + <R = 
<R =
- 95
= 
<R = 
Applying the Sine rule, we have;
=
= 
Using
= 
= 
r = 
= 2.9483
r = 2.9 inches
Also,
= 
= 
q = 
= 2.0559
q = 2.0 inches
From Herons formula,
Area of a triangle = 
s = 
= 3.6
Area of ΔQRS = 
= 2.2895
Area of ΔQRS = 2.3 square inches
Answer:
(-1, 0.5)
Step-by-step explanation:
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