The second of three number is 1 less than the first the third number is 5 less than the second if the first number is twice as large as the third find the three number

The three numbers are 12, 11, and 6

Step-by-step explanation:

Let

First Number be x

Second Number be y

Third Number be z

Now, we can come up with equations from the word problem.

The 2nd is 1 less than 1st means:

y = x - 1

3rd is 5 less than 2nd means:

z = y - 5

1st is TWICE as large as 3rd means:

x = 2z

We have 3 equations. Let's put 3rd into 1st, we get:

y = 2z - 1

Now put this into 2nd equation,  we get:

z = 2z - 1 - 5

Solving for z:

5 + 1 = 2z - z

z = 6

We know x = 2z, so x = 2(6) = 12

x = 12

and y = x - 1, this means y = 12 - 1 = 11

y = 11

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°