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Can someone please check my work on 1-6 and assist me on 7-10? Thank you in advance. 1)Find the excluded values for the algebraic fraction:

Can someone please check my work on 1-6 and assist me on 7-10? Thank you in advance.

1)Find the excluded values for the algebraic fraction:

16x - 8 = 0

16x = 8

x = 1/2 (excluded value)

2) Find the excluded values for the algebraic fraction:

x^2 - 6x - 7 = 0

(x-7)(x+1)

x = 7 or -1 (excluded values)

3)Perform the indicated operation and simplify your answer:

(6n^5)/7 * (21n + 14)/(18n^5)

(6n^5)/7 * 7(3n + 2)/3(6n^5)

(1/1) * (3n + 2)/3

(3n+2) / 3

4)Perform the indicated operation and simplify your answer:

[(x-2)(x+6)/4(x+3)] / [(x-2)/x^2(x+3)

[(x+6)/4] * (x^2/1)

(x^3+6x^2)/4

5) Perform the indicated operation and simplify your answer:

[(3x-30)/(5x^2-46x-40)] + [(30x+24)/(5x^2-46x-40)]

(33x-6) / (5x^2-46x-40)

3(11x-6) / (5x^2-46-40)

6) Perform the indicated operation and simplify your answer:

[(3n-15)/(n^2+5n-50)] - [(2n+20)/(n^2+5n-50)]

(5n+5)/(n^2+5n-50)

5(n+1)/(n^2+5n-50)

7)Solve the equation and show the check of your solution(s).If an answer is an excluded value, please state than on your paper.Use the method discussed in Section 7.7 of our text, clearing fractions from the equation first.

[(k^2+4k-16)/(2k^2)] - [(2k+4)/(k^2)] = 6/(k^2)

8)Solve the equation and show the check of your solution(s).If an answer is an excluded value, please state that on on your paper.Use the method discussed in Section 7.7 of our text, clearing fractions from the equation first.

[(3x)/(x-1)] + [(3)/(x-1)(x-2)] = [(9)/(x-2)]

9)If a 5-foot-tall person casts an 8-foot shadow, how long is the shadow of a 12-foot-tall road sign?Use a proportion to set up and solve an equation.Round your answer to the nearest tenth of a foot if necessary.

10)Tina has 15 more shells than Jim.If Tina has 4 shells for every 3 shells that Jim has, how many shells does each person have?Round your answer to the nearest tenth of a shell if necessary.

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