The answers are
11. c) 7x² +5x +8 remainder 7.
12. d) 6x² -6x +3 remainder 2x.
Step-by-step explanation:
Step 1; By dividing 7x³ -2x² +3x -1 with x -1 we get the following calculations. We multiply 7x² with x-1 and get 7x³ - 7x². We subtract this from 7x³ -2x² and get 5x². Now we add this with the 3x in 7x³ -2x² +3x -1. We get 5x² +3x. We multiply x -1 with 5x and get 5x² -5x and subtract it from 5x² +3x and get 8x. We multiply the x -1 with 8 and get 8x -8. We subtract this from 8x -1 and get a remainder of 7. So the quotient is 7x² +5x +8 with a remainder of 7.
Step 2; By dividing 6
+0x³ -3x² +5x with x² +x we get the following calculations. We multiply 6x² with x² +x and get 6 +6x³. We subtract this from 6 +0x³ and get -6x³. Now we add this with the -3x² in 6 +0x³ -3x² +5x. We get -6x³ -3x². We multiply x² +x with -6x and get -6x³ -6x² and subtract it from -6x³ -3x² and get 3x². We multiply the x² +x with 3 and get 3x² +3x. We subtract this from 3x² +5x and get a remainder of 2x. So the quotient is 6x² -6x +3 with a remainder of 2x.
Answer:
- f(4) = -12
- f(-2) = -6
- f(2) = -10
- f(0) = -8
- f(-3) = -5
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
Personally, I find it easier not to deal with so many minus signs. I would rewrite the function to ...
f(x) = -(8 +x)
I find it easier to evaluate the series of argument values when they are in increasing order. This serves as a check, because we expect the function values to be in decreasing order.
f({-3, -2, 0, 2, 4}) = -(8 +{-3, -2, 0, 2, 4}) = -{5, 6, 8, 10, 12} = {-5, -6, -8, -10, -12}
- f(4) = -12
- f(-2) = -6
- f(2) = -10
- f(0) = -8
- f(-3) = -5
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As always, for repetitive evaluation of the same function, a spreadsheet or graphing calculator is a handy tool.
The answer would be 2 :))
Answer:
450 minutes
Step-by-step explanation:
1 2/3 = 5/3
Divide fraction, multiply reciprocal
5/3 * 8/1 = 40/3
