The ratio between the sum of the fifth, sixth and seventh terms of a geometric series ind the sum of the first three terms of the same series is \( 81: 16 \). Determine the sum he first ten terms, if the first term is 1024 .

a) \( f(x)=|x+4|+2 \) b) \( f(x)=- \) c) \( f(x)=3 x^{2}-x-2 \)

1: \( 6 x+6 z=6 \)

USING EQUATIONS to solve WORD PROBLEMS Directions: Set up and solve an equation for each problem below. 5. The length of a rectangle is one more than four times its width. If the perimeter of the rectangle is 62 meters, find the dimensions of the rectangle.

Two cubic roots are given below. \( \sqrt[3]{27} \) and \( \sqrt[3]{343} \) Write \( \mathrm{a} \times \mathrm{a} \times \mathrm{a} \times \mathrm{a} \times \mathrm{a} \times \mathrm{a} \) in the form of indices (b) Multiply the given two cubic roots. c) Prove that: \( \left(\frac{\mathrm{x}^{a}}{\mathrm{x}^{b}}\right)^{a+b}\left(\frac{x^{b}}{x^{c}}\right)^{b+c}\left(\frac{\mathrm{x}^{c}}{\mathrm{x}^{a}}\right)^{c+a}=1 \)

USING EQUATIONS to solve WORD PROBLE Directions: Set up and solve an equation for each problem below. 4. Kara's golf score was 1 less than three fourths of Greg's golf score. If the sum of their scores was 153, find Kara's golf score.