Jeanette made a 3-by-3 square from tiles. She counted 9 tiles. She noticed that the one middle tile shared sides If Jeanette makes a 6-by-6 square from tiles, how many tiles will share sides with exactly 3 other tiles?With 4 other tiles. She also noticed that each of the corner tiles of the big square shared sides with exactly 2 other tiles. Finally, she noticed that each of the middle tiles along the sides of the big square shared sides with exactly 3 other tiles.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

f(x)=4

step-by-step explanation: