Algebra Answers

What is the slope of the line represented by the equation y = x – 3?

A local cable network charges ₱950.00 monthly connection fee plus ₱100.00 for each hour of pay-per- view (PPV) event regardless of a full hour or a fraction

of anhour.

Mariel wanted to avail a cellphone plan that offers a

monthly fee of ₱2,500.00. Itincludes 240 minutes of call and charges ₱7.50 for each additional minute of usage.

Emmanuel decided to put up a candy shop that

sells a dairy chocolate that cost ₱135.00 per pack. The cost of making the chocolate is ₱90.00 and the operatingexpense is ₱4,500.00

If log_𝑎 𝑞 = 1/5 solve the equation , 𝑥 log_𝑎 𝑞 + (𝑥 + 2) log_𝑎 𝑞² = 3

Given that 𝑇 = ³√ 32𝑐⁴−𝑞/2 . Show that 𝑐 = 1/2 ⁴√2𝑇² + 𝑞   

Given 𝑓(𝑥) = 𝑎𝑥³ + 2𝑥² + 𝑏𝑥 − 20 where 𝑥 − 2 and 𝑥 − 5 are two of its factors determine the real values of 𝑎 and 𝑏. 

Express the following in rectangular and polar form, if Z1 = 3+ 4i

Z2= 2+3i

1. Z1*Z2

2. Z1-Z2

3. Z1/Z2

4. |Z1|

5. |Z2|

(2)if Z1=50<30°and Z2=30<60°find in rectangular form the following

1. |Z1|

2. |Z2|

3. |Z1|-|Z2|

4. Z1*Z2

5. |Z2-Z1|

6. |Z2|/|Z1|

The shopkeeper brought a box containing x files for $20. he could have brought 5 more files if each file cost 20 cents less.(a) Form an equation in x and show that it reduces to x^2 + 5x - 500 = 0

Given that 𝑇 = 3√ 32𝑐⁴−𝑞 /2 . Show that 𝑐 = 1/2 4√2𝑇³ + 𝑞