Provide an appropriate response.In the Multiplication Rule for solving equations, explain why each side of the equation must be multiplied or divided by the same nonzero number.
What will be an ideal response?
Multiplying both sides by zero would yield the equation 
which would not be equivalent to the original equation. Division by zero is undefined.
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Express the number in standard notation.2.0433 × 10-7
A. 0.00000020433 B. 0.000000020433 C. 0.0000020433 D. -204,330,000
Evaluate the integral by using a substitution prior to integration by parts.
A. x 
2 - 2x 
+ C
B. x 
2 - x 
+ x + C
C. x 
2 + 2x 
- 2x + C
D. x 
2 - 2x 
+ 2x + C
Solve the problem.Formulate the following problem as a linear programming problem (DO NOT SOLVE):A veterinarian wants to set up a special diet that will contain at least 500 units of vitamin B1 at least 800 units of vitamin B2 and at least 700 units of vitamin B6. She also wants to limit the diet to at most 300 total grams. There are three feed mixes available, mix P, mix Q, and mix R. A gram of mix P contains 3 units of vitamin B1, 5 units of vitamin B2, and 8 units of vitamin B6. A gram of mix Q contains 9 units of vitamin B1, 8 units of vitamin B2, and 6 units of vitamin B6. A gram of mix R contains 7 units of vitamin B1, 6 units of vitamin B2, and 9 units of vitamin B6. Mix P costs $0.10 per gram, mix Q costs $0.12 per gram, and mix R costs $0.21 per gram. How many grams of each mix
should the veterinarian use to satisfy the requirements of the diet at minimal costs? (Let x1 equal the number of grams of mix P, x2 equal the number of grams of mix Q, and x3 equal the number of grams of mix R that are used in the diet).
A.
| Minimize | C = -0.10x1- 0.12x2 - 0.21x3 |
B.
| Minimize | C = 0.10x1- 0.12x2 + 0.21x3 |
C.
| Minimize | C = 0.10x1 + 0.12x2 + 0.21x3 |
D.
| Minimize | C = 0.10x1- 0.12x2 - 0.21x3 |
Perform the indicated operation. Assume that all variables are nonnegative.
(
- 
)
A. x
- x
B. 10
- x
C. x
- 
D. 
- 