Solve the quadratic function by completing the square. What are the missing pieces in the steps?

-32 = 2 (x2 + 10x)

-32 +

= 2 (2x2 + 10x + 25)

18 = 2 (x + 5) 2

9 = (x + 5) 2

= x + 5

x=-2 or x =

If the exterior angle of a regular octagon measures 11x + 1 what is the value of x?

3kg of meat costs £54 Nina buys 2 kg of the meat. Work out how much Nina pays.

20 more than half a number is at least 45 find the smallest number that means this condition

Solve the equation for m. mk+mq=r

Sam eats 1/2 of a chocolate bar. Jack eats 1/4 of the remaining chocolate bar. After both Jack and Sam eat their portions of the chocolate bar how much is left uneaten of the original whole chocolate bar?

Solve for x. 34+x=12 Enter your simplified answer in the box.

An expression is shown below: 3pf^2 - 21p^2f + 6pf - 42p^2 Part A: Rewrite the expression so the GCF is factored completely. Part B: Rewrite the expression completely factored. Show the steps of your work.

Identify the variable expression that is not a polynomial. A. Y+1 B. C. x^12 D. 23

6. Molly uses 192 beads to make a bracelet and a necklace. It takes 5 times as many beads to make a necklace than it does to make a bracelet. How many beads are used to make the necklace?

Jason buys sports equipment worth $80.00 and pays 5% sales tax. What is the total amount Jason pays including sales tax, for sports equipment?