Please help I will give five stars and points for answer with explanation. Which statement is true about the equation fraction 3 over 4 z = fraction 1 over 4 z − 3 + 5?

It has no solution.
It has one solution
It has two solutions.
It has infinitely many solutions.

z= 1/4

one solution.

Step-by-step explanation:

3/4z = 1/4z - 3 + 5

multiply both side by 4z

3/4z * 4z = (1/4z * 4z) - (3 * 4z) + (5 * 4z)

3 =  1 - 12z + 20z

3 - 1 = 8z

2 = 8z

2/8 = z

z = 1/4 or 0.25

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

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.