A polynomial function g(x) with integer coefficients has a leading coefficient of 15 and a constant term of 3. According to the Rational Root Theorem, which of the following are possible roots of g(x)? a. 1/3
b. -15
c. -5
d. 5

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  a. 1/3

Step-by-step explanation:

The rational root theorem tells you possible rational roots will be of the form ...

  ±(factor of 3)/(factor of 15)

Which will be any of ±{1,3}/{1,3,5,15} = {±1/15, ±1/5, ±1/3, ±3/5, ±1, ±3}.

Of these, 1/3 is one of the available choices.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

the answer is a. q=6,r=6√2

step-by-step explanation: