Use a quantifier to make the following true or false, as indicated, where x is a natural number.12x = 5x + 7x (make false)
A. More than one natural number x exists such that 12x = 5x + 7x.
B. For every natural number x, 12x = 5x + 7x.
C. There exists a natural number x such that 12x = 5x + 7x.
D. There is no natural number x such that 12x = 5x + 7x.
Answer: D
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A health spa customizes the diet and vitamin supplements for each client. They offer three different vitamin supplements, each containing different percentages of the recommended daily allowance (RDA) of vitamins A, C, and D. One tablet of supplement X provides 40% of the RDA of A, 20% of the RDA of C, and 10% of the RDA of D. One tablet of supplement Y provides 10% of the RDA of A, 10% of the RDA of C, and 30% of the RDA of D. One tablet of supplement Z provides 10% of the RDA of A, 50% of the RDA of C, and 20% of the RDA of D.The spa staff determines that a client should take 190% of the RDA of vitamin A, 150% of the RDA of vitamin C, and 120% of the RDA of vitamin D each day. How many tablets of each supplement should he take each day?
What will be an ideal response?
Solve the system of equations by elimination.
A. x = -2, y = 8; (-2, 8) B. x = 12, y = -12; (12, -12) C. x = 8, y = -8; (8, -8) D. x = -8, y = 8; (-8, 8)
Evaluate the expression for the given values. If necessary, round to the nearest tenth.6x + 8y + 4; x = 0, y = 8
A. 68 B. 52 C. 74 D. 12
Graph the function.y = 
- 2
A. 
B. 
C. 
D. 