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.
3.3x =29.04
to find x divide both sides by 3.3
x = 29.04 / 3.3
x = 8.8
Answer:
C.
Step-by-step explanation:
To find the area of a triangle, one must multiply the base by the height then divide by 2.
So, the area of this triangle would be 7.5
Answer:
Ernie's time is 11.1 seconds
Explanation:
If Bert won the race with the time of 12.6 and the time difference is 1.5, this means Ernie's time was 1.5 seconds less than 12.6.
12.6
−
1.5
=
11.1
Answer: y = 5/8x + 0.5
Step-by-step explanation:
5/8 is the slope if you could 5 up and 8 to the side
slope form is y=mx+b
y = 5/8x + 0.5
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