- Simplify the radical. Assume that all variables represent positive real numbers. sqrt [5](-243x^15y^10) Select the correct choice below w and, if necessary, fill in the answer box to complete your choice. D A. 5 sqrt [5](-243x^15y^10)=square B. The radical does not represent a real number.
- Problem 1: Xavier, Yuri and Zyra are artists that want to paint a mural in the school. The 3 of them together take 8 hours to complete the mural. Yuri takes twice as long as Xavier to complete the mural if they were working individually. Zyra takes 10 hours less than Xavier if they were working individually. How long would each of them to paint the mural if they were working individually?
- Which equation completes the square to create an equivalent equation in the form of (x-p)^2=q x^2-4x+2=0 Show your work here (x-2)^2=-10 (x-4)^2=2 (x-2)^2=2 (x-1)^2=23
- A furniture company produces chairs and sofas. The chairs require 30 ft of wood, 7 Ib of foam rubber, and 6 sq yd of fabric. The sofas require 150 ft of wood, 70 lb of foam rubber, and 30 sq yd of fabric The company has 2250 ft of wood, 630 Ib of foam rubber and 390 sq yd of fabric The chairs can be sold for 500 each and the sofas for 1300 each. How many of each should be produced in order to maximize income? The fumilure company should produce square chairs and square sofas to maximize the income. (Type whole numbers.)
- Which equation completes the square to create an equivalent equation in the form of (x-p)^2=q x^2+4x+1=0 Show your work here (x+2)^2=3 (x+4)^2=1 (x+2)^2=8 (x-8)^2=9