Algebra Answers

Shiv want to lay a track 200 m long and 6 m wide using a team of 60 boys in 2 days. After 1 day, Shiv find 75 m x 6 m track has been laid. How many men should Shiv hire additionally if 2 men do the job of 5 boys?

6. Two impedances = ( 4 + j7 )Ω and z2 = ( 4 - 3j )Ω are connected in parallel determine:

a. the current flowing

b. its phase relative to the 120V supply voltage.

Total impedance for a parallel circuit is given by 1/Z = 1/Z + 1/Z2 and the current is given by I = V/Z

2. Using the formulae for geometric progression

(a) The value of a lathe originally valued at £9000 depreciates by 5% each year. Calculate its value after 6 years.

(b) The lathe will be sold when its value falls below £6000 after how many years will this happen?

3) A construction company is fined for each day of delay in the construction of a

bridge. The penalty for the delay is £3000 for the first day and then an additional

£500 for each subsequent day ( i.e. Day 1 £3000, day 2 £3500, day 3 £4000

etc.). The maximum fine the company can afford is £75000.

Use arithmetic sequences formulae to find the maximum number of days they can

afford to delay.

4) Simplify the following, using the rectangular form of complex numbers

5 + 2j / 7 - 3j  and (5+ 3j) (-8-2j)

5) Simplify, using the polar form of complex numbers

a. 5 < 55 ^degree x 8 < - 28^ degree

b. 5 < 55 ^ degree / 8 < - 28 ^ degree

Convert both answers to rectangular form

Show that ((7+3sqrt5)/(sqrt2+sqrt7+3sqrt5)+((7-3sqrt5)/(sqrt2+sqrt7-3sqrt5))=2sqrt2

Shiv want to lay a track 200 m long and 6 m wide using a team of 60 boys in 2 days. After 1 day, Shiv find 75 m x 6 m track has been laid. How many men should Shiv hire additionally if 2 men do the job of 5 boys

Show step by step:

1. In Desmos, find the inverse algebraically y= 1/2(x-2)³
2. Then graph the inverse in DESMOS and compare

In Desmos, graph y= (-5x, 4y)

1. state the domain and range of the original function
2. state the domain and range of the inverse function
3. the inverse reflects over?

Show step by step:

Find the inverse for y=4³sqaure root of x-2

Show step by step:

Find the inverse for y=(x-3)³+1

Show step by step:

Find the inverse for y= 2x²-8