Solve the problem.Consider the following simplified digital photograph that has a 3 × 3 grid with four gray levels numbered from 0 to 3. It shows a letter Y in dark gray on a white background.
Let A be the 3 × 3 matrix that represents this figure digitally. Find the matrix which represents the negative image of the picture represented by A.
A.
B.
C.
D.
Answer: A
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A carpenter wishes to construct an elliptical table top from a sheet of plywood, 5 ft by 10 ft. He will trace out the ellipse using the "thumbtack and string" method. What length of string should he use, and how far apart should the tacks be located if the ellipse is to be the largest possible that can be cut out of the plywood sheet?
?
?
A. the tacks should be located ft far apart, length of string 10 ft
B. the tacks should be located ft far apart, length of string 10 ft
C. the tacks should be located ft far apart, length of string 5 ft
D. the tacks should be located ft far apart, length of string 5 ft
E. none of these
Factor the sum or difference of two cubes.125y3 - 1
A. (5y + 1)(25y2 - 5y + 1) B. (125y - 1)(y2 + 5y + 1) C. (5y - 1)(25y2 + 5y + 1) D. (5y - 1)(25y2 + 1)
Solve the problem.Mary, the owner of Vitallo's Pizza Parlor, had start-up costs of $5700. The ingredients for each pizza cost $3.25, and she sells each pizza for $11. She has no other expenses. Express the cost C as a function of x, where x represents the number of pizzas sold.
A. C(x) = 3.25x + 11 B. C(x) = 3.25x + 5700 C. C(x) = 3.25x + 5711 D. C(x) = 5700x + 3.25
Find an equivalent expression by factoring.35a + 7b
A. 35(a + b) B. 7(5a + b) C. 5(7a + 7b) D. 7(5a + 7b)