Answer:
f(x) = -1/x+5 +2
Step-by-step explanation:
No, an integer can not be a decimal. They can either be positive or negative numbers.
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:
There are 13 motorcycles and 22 cars
Step-by-step explanation:
Let x represent the number of motorcycles, and let y represent the number of cars. We can set up a system of equations to solve this...
x + y = 35 (there are a total of 35 vehicles)
2x + 4y = 114 (the total number of tires)
Solve the first equation for either variable...
y = 35 - x
Now substitute that value into the other equation and solve...
2x + 4(35 - x) = 114 (y becomes 35 - x)
Now solve...
2x + 140 - 4x = 114
-2x = -26
x = 13 (there are 13 motorcycles)
Now plug that value into either original equation to solve for y...
13 + y = 35
y = 22 (there are 22 cars(
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