I NEED THE CORRECT ANSWER IN ORDER TO PASS PLS HELP! Charlotte receives a weekly allowance from her parents. She spent half of this week’s allowance at the movies, but earned an additional $4 for performing extra chores. If she did not spend any additional money and finished the week with $12, what is Charlotte’s weekly allowance?
show your work

a. 2x+4=12: x=16

b.1/2 x+4=12; x=4

c.1/2x+4=12; x=16

d.2x+4=12: x=32

c. ½x + 4 = 12; x = 16

Step-by-step explanation:

1/2 x ( Half of the allowance spent at movies & x is allowance )

1/2x + 4 ( Earned additional $4 )

1/2x + 4 = 12 ( Had $12 at the end of the week )

Check:

1/2 16 +4 = 12

8 + 4 = 12

12 = 12

Correct!

2.56 is the width of the garden

step-by-step explanation:

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