Algebra Answers

Which strategy is the most appropriate strategy to solve x2−8x=242 ?



zero product property
completing the square
square root property

Prove that 2^n >1+n^(1/2^n -1) for all n>2, using the inequalities.

The 3rd term of Geometric progression is 63 and 5th term 567. Find the sum of 1st 6 term

Qus-01 Prove that 2n >1+ n root(2n−1) ∀n > 2, using the inequalities.

An electronics company produces​ transistors, resistors, and computer chips. Each transistor requires 3 units of​ copper, 2 units of​ zinc, and 1 unit of glass. Each resistor requires 3​, 1​, and 2 units of the three​ materials, and each computer chip requires 2​, 1​, and 2 units of these​ materials, respectively. How many of each product can be made with 1885 units of​ copper, 915 units of​ zinc, and 1125 units of​ glass? Solve this exercise by using the inverse of the coefficient matrix to solve a system of equations.

Rewrite each rational expression with the indicated denominator.
7/12 = ?/48
-6//b= ?/4b
6/5t^5 u^2= ?/10t^7u^5
8/m-8= ?/m(m-8)

Slope= 9 over 4, y-intercept=-4. Find the equation of this straight line.

Problem Page
There were 75
runners to start a race. In the first half of the race, 2/5
of them dropped out. In the second half of the race, 1/3
of the remaining runners dropped out. How many runners finished the race?

The cost of 5 boxes of envelopes and 5 packages of notebook paper is $25.38. How much would one box of envelopes cost?

The length of a rectangular dog run is 4ft more than twice it’s width. Find the dimensions of the run if it’s covers 96 ft ^2.