A jewelry maker is designing a crown. The crown must have at least 45 gems, using only emeralds, rubies, and diamonds. The number of rubies must be 1 less than 3 times the number of emeralds. The number of diamonds must be 4 less than the number of rubies. Which inequality could the jewelry maker use to find the fewest number of emeralds, x, that can be placed on the crown? A. x - 4 + 3x - 1 + x ≥ 45
B. 3x - 1 + 3x - 4 ≥ 45
C. x + 3x - 1 + 3x - 1 - 4 ≥ 45
D. 3x - 1 + 3x - 1 - 4 ≥ 45

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.