2x^3 + 3x^2 + x + 1
=2x^3 + 3x^2 + 3x^2 - 3x^2 + x + 1
=2x^3 + 6x^2 - 3x^2 + x + 1
=2(x^3 + 3x^2) - 3x^2 + x + 1
=2x^2*(x+3) - 3x^2 -9x + 9x + x +1
=2x^2*(x+3) - 3x(x+3) + 10x +1
=2x^2*(x+3) - 3x(x+3) + 10x + 30 - 30 +1
=2x^2*(x+3) - 3x(x+3) +10(x+3) -29
The first three terms can be divided by (x+3) evenly so the remainder is -29
Answer:
d. An optimal solution to linear programming problem can be found at an extreme point of the feasible region for the problem.
Step-by-step explanation:
A feasible solution satisfies all the constraints of the problem in linear programming. The constraints are the restrictions on decision variable. They limit the value of decision variable in linear programming. Optimal solutions occur when there is feasible problem in the programming.
Answer:Honi made a mistake in Step 4. 50 divided by 1/4 is actually 200
Answer:
90
Step-by-step explanation:
Order of operations are known as PEMDAS:
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
For the most part you have to follow these rules in order to get the correct answer. For this question you first have to multiply 19 by 4 to get 76. Next you add 35 to the number. The sum of 76 and 35 is 111. You final step is to subtract 21. Your final answer is 90. I hope this helps!