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g(x) = x - 3 = 0
g(x) = x = 3
f(x) = 2x^3 + x - 4
f(3) = 2(3)^3 + 3 - 4
f(3) = 2(27) - 1
f(3) = 54 - 1
f(3) = 53
The remainder when f(x) is divided by x - 3 is <u>53</u>.
Answer:
c. (5, -2)
Step-by-step explanation:
as we can clearly see, the 4th vertex has to be on the positive side of x.
therefore, all answer options with negative x are out.
(2, -5) is almost at D (-1, 5). that cannot be right for a rectangle.
that leaves only c as right answer.
FYI - how to get this without predefined answer portions ?
the x- difference of B to A is 4 (from -5 to -1). the x-difference from D to C must be the same (4). 1 + 4 = 5.
so, x of D must be 5.
the y- difference of B to A is 3 (from 3 to 6). the y-difference from D to C must be the same (3). -5 + 3 = -2.
so, y of D must be -2.
Answer:
See below ~
Step-by-step explanation:
<u>Finding x</u>
- 2x - 28 = x/2
- 3/2x = 28
- 3x = 56
- x = 56/3 = 18.66666667
- The exact side length of the small square is <u>18.66666667 cm</u> and the exact side length of the big square is <u>37.3333334 cm</u>.
- The approximate side length of the small square is <u>18.7 cm</u> and the approximate side length of the big square is <u>37.3 cm</u>.
the total number of out comes would be 16^2 or 256.
some extra things...
A numbered card from 1 - 10 would be 1 over 10 or 10% chance of picking correctly.
a number cube from 1 - 6 would be 1 over 6 or 16.66% chance of picking correctly.
if you want to combine these and pick one from both, it becomes 1 over 16 or 6.25% chance of picking both correctly.
