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Step-by-step explanation:
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Answer:
Function 1 has the larger maximum at (4, 1)
Explanation:
After observation, graph of function 1 has vertex at Maximum (4, 1)
In order to find vertex of function 2, complete square the equation.
f(x) = -x² + 2x - 3
f(x) = -(x² - 2x) - 3
f(x) = -(x - 1)² - 3 + (-1)²
f(x) = -(x - 1)² - 2
Vertex form: y = a(x - h)² + k where (h, k) is the vertex
So, here for function 2 vertex: Maximum (1, -2)
<h3>Conclusion:</h3>
Function 1 = Maximum (4, 1), Function 2 = Maximum (1, -2)
Function 1 has greater maximum value of (4, 1) as "1 is greater than -2"
The answer should be 11/84
Answer:
18
Step-by-step explanation:
Volume is a product of cross-sectional area and height and relresented as V=Ah where V is volume, A is cross-sectional area and h is height.
For the square, since each has a thickness of 6mm then for 24 of them the height will be 24*6=144 mm
Since the volume and cross sectional area of the triangle should be the same, then the height should also be the same.
Since for the triangle each has a thickness of 8mm then the number requred to achieve a height of 144 mm will be 144/8=18 stacks
Answer:
x - 30
Step-by-step explanation:
3(x - 6) - 4(x + 3)
3x - 18 - 4x - 12
x - 30