Answer:
1, 11
Step-by-step explanation:
Answer: 7
Step-by-step explanation:
Let the number chosen by Michael be x.
We are told that he multiplied it by itself, added 1. This would be:
= = ( x × x) + 1 = x² + 1
We are further told that he multiplied the result by 10, and added 3. This would be:
= = [(x² + 1) × 10] + 3
= 10x² + 10 + 3
= 10x² + 13
Lastly, he multiplied the result by 4 and his final answer was 2012. This would be:
(10x² + 13) × 4 = 2012
40x² + 52 = 2012
40x² = 2012 - 52
40x² = 1960
x² = 1960/40
x² = 49
x = ✓49
x = 7
The number is 7
can be expressed as:
= ( x × x) + 1 = x² + 1
Answer:
Step-by-step explanation:
If the speed is constant for 5 machines and produces x amount of toys we know that rate is defined as a constant per time:
Here the machines are constant and the rate is x toys per hour:
If 5 machines make x per hour:
Rate is x/1 hour
The the ratio of 8/5 is 1.6. Therefore for 8 machines the rate is 1.6 times more per hour than for5 machines. Therefore we can write an expression as:
Rate for 5 machines is x and for 8 machines is y:
Answer:
-x² -2x -5 -12/(x-2)
Step-by-step explanation:
The attachment shows the synthetic division. You can find the remainder by evaluating the dividend for x=2:
-2³ -2 -2 = -12 . . . . matches the above answer, not [A] or [C] shown
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You can always multiply out your answer to see if it matches the problem.
(-x^2 -2x +3)(x -2) +3 = -x^3 +7x -3 . . . . not the dividend you started with