53x52 step by step plzzz
1 answer:
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Answer:
B. The maximum occurs at the function's x-intercept.
Step-by-step explanation:
Given table:
From inspection of the table, we can see that:
and
This indicates <u>symmetry</u>.
The line of symmetry is the mid-point between the two x-values.
Therefore, the <u>line of symmetry</u> is x = -4
The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0). As the function decreases as x → 0, the vertex is a <u>maximum</u>.
As the y-value of the vertex is 0, the maximum occurs at the function's <u>x-intercept</u>.
The greatest possible surface area of the prism is 78 square units, it is obtained by removing center cube on each side of the prism.
Step-by-step explanation:
The given is,
Prism is made up of 27 identical cubes
Step:1
Ref attachment,
Let, surface area of one of cube = 1 square units
Surface area of given prism,
In the given diagram it have 9 cube sides in each side of prism.
1 surface prism = 9 surface of cube
Surface area of given prism = 6 × Surface of prism
= 6 × 9
= 54 square units
Step:2 Check for alternative's
For removing one cube on the edge of prism,
1 surface of prim = 9 surfaces of cube
Surface area after removing cube on each side,
= 6 × 11 = 66 square units
For removing cube on corner of prism,
1 surface of prim = 9 surfaces of cube
Surface area after removing cube on corner,
= 6 × 9 = 54 square units
For removing center cube on each side,
1 surface of prim = 13 surfaces of cube
Surface area after removing cube on corer on the prism,
= 6 × 13 = 78 square units
Surface area after removing corner cube on prism = 78 square units
Result:
The greatest possible surface area of the prism is 78 square units, it is obtained by removing center cube on each side of the prism.
