A function is described by f(x) - 2x -3. The replacement set for the independent variable is {-1, -2, 1,5). Which of the following would belong to the corresponding set of values of the
dependent set?

The corresponding set of values of the dependent set is: {-5, -7, 0}

Step-by-step explanation:

Dependent variable and independent variable:

Suppose we have a function f(x).

The independent variable is the input value of the function, that is, x.

The dependent variable is the output value of the function, that is, f(x).

The replacement set for the independent variable is (-1, -2, 1,5).

The values of the dependent set are respectively, f(-1), f(-2) and f(1.5). So

We have that: . So

The corresponding set of values of the dependent set is: {-5, -7, 0}

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 b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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