Determine whether or not the first number is divisible by the second number521,364; 3
A. Yes
B. No
Answer: A
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Factor the polynomial completely. If the polynomial cannot be factored, write "prime."4x3 - 108
A. 4(x - 3)(x2 + 3x + 9) B. 4(x - 3)(x2 - 3x + 9) C. 4(x + 3)(x2 - 3x + 9) D. 4(x - 12)(x2 + 12x + 36)
Match the description with its graph.
A. A line with negative slope and a positive y-intercept. B. A line with positive slope and a positive y-intercept. C. A line with negative slope and a negative y-intercept. D. A line with positive slope and a negative y-intercept.
Plot the numbers on a number line., -
, ?
A.
B.
C.
D.
An open box is to be constructed from a piece of cardboard 24 cm by 35 cm by cutting squares of side length x from each corner and folding up the sides, as shown in the figure.
?
?
(a) Express the volume V of the box as a function of x.
?
__________
?
(b) What is the domain of V? (Use the fact that length and volume must be positive.)
?
__________ < x< __________
?
(c) Draw a graph of the function V and use it to estimate the maximum volume for such a box. Please round the answer to the nearest whole number.
?
__________ cm3
What will be an ideal response?