Algebra Answers

the curve y=x^2-x+1 is translated by (0,3)
find and simplify the equation of the translated curve

Jacob went to Walmart to buy a water cooler for $4650. Walmart offered an off-season discount of 18%. How much did Jacob pay for the water cooler?

Taronne received his cell phone bill in the mail. The bill was for $99.00 and the sales tax was 4.5%. How much was he charged in taxes?

1. Five girls and four boys are randomly seated in a row. How many seating arrangements are possible if . . .
(a) there are no restrictions?
(b) boys and girls alternate?
(c) boys sit together, girls sit together?
(d) Compa must sit in the middle chair?
(e) Girls sit at the end seats?


2. Please determine whether a permutation, combination, or neither is used. Please set up and solve each problem.
(a) In how many ways can a six card hand be drawn from a standard deck of fifty-two cards?
(b) How many codes are comprised of two letters followed by three digits?
(c) A choral group is known for fifteen songs. How many musical arrangements are possible if the
group has time for five songs?
(d) Compa’s wardrobe contains six sweaters, eight skirts, four headbands, and three pairs of shoes.
How many different outfits can Compa make from her wardrobe?
(e) How many committees of four be formed from fifteen people?

the equation c=10+0.25m represents the cost, Cof a cell phone bill if m min, are used. Which equation represents a bill of $25

Musa places a mirror on the ground, 5 m from the base of three. He then walks backwards until he can see the top of the tree in the mirror. He is now standing 0.75m from the mirror. Sam's eye level is 1.75 m high. Label the diagram. Find the height of the tree

Find the solution of 1/5 + 3/10 algorithmically and diagrammatically

Cathy sells homemade holiday decorations at the local flea market. This month she is making Ghost decorations and Pumpkin decorations. She makes a profit of $15 per Ghost decoration and a profit $11 per Pumpkin decorations. Cathy wants to make at least 4 Ghosts but no more than 8 Ghosts and she wants to make at least 6 pumpkins. Cathy has time to make at most a total of 30 decorations this month. How many Ghost and how many Pumpkins should be made to maximize her profits?

a) determine the constraints

b) determine the objective function

c) Graph the constraints and determine the feasible region

d) determine the variables of the feasible region

e) how many of each decoration should Cathy make to maximize her profit?

f) what is Cathy's maximum profit?