Algebra Answers

Find all values of the parameter for which each of the roots of the equation x^3 - 3x - a = 0 not less than (a/10) + (6/5). In response, write down the sum of the integer values of the parameter a such that their modulus is less than 61.

by what number should (5/6)^-3 be divided so the quiotent be 6^3*5^-2

answer with steps asap

Find the quotient and the remainder of the function

F(x) =

3x4 + 8x3 + 7x + 2

x + 2

3

i) long division (5marks)

ii) Synthetic division (3marks)

b. i) Factorize completely F(x) = x3 + 9x2 + 23x + 15 (4marks)

ii) Show if the F(x) = 3x4 +8x3 +7x2

Describe when it is easier to use the formula Sn= n/2(a+tn) and when the formula Sn= n/2[[2a+ (n-1) d] is a better choice.

Kanica wants to earn at least $750 this week in commission. What is the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells? Round your answer to the nearest dollar if necessary.

Carly earns $12.50 per hour and a flat rate of $30 for cleaning offices. Describe the relation between earnings and hours using an equation

The demand and supply functions of a goods are given by:

p=-4QD+120

p=1/2QS+28

where P, QD, and QS denote the price, quantity demanded and quantity supplied respectively. Find the equilibrium price and quantity.

shane mae and jessa can finish cleaning the house in 2 hours if it takes shane mae 3 hours than it takes jessa working alone how many hours will each girl finish the work alone

Apply weierstrass' inequality to prove that

[nΣi=1 (1/√i)] ≤ 1/√n! [nΠi=2 (√i-1)] +2[nΣi=2 (1/√i)]

Mr walls has assigned 42 math activities so far this this year each week he assigns 5 more activities. How many assignments will there be after 7 weeks