Algebra Answers

(4xy²z³+1) + (-10xy²z³-3)

the equation x^2+bx+c=0 has roots -5 and 7. find the value of b and the value of c.

1. On a map, the distance between the two towns is 2.6 cm. The scale of the map is 1 cm: 50 km. What is the actual distance between the two towns ? and whats the process to get that answer

 PROBLEM: 40 boys and 28 girls stand in a circle, hand in hand, all facing inward. Exactly 18 boys give their 

right hand to a girl. 

A. How many boys give their left hand toa a girl? 

B. What if 28 boys give their right hand to a girl? 

C. What will be your answer if both boys and girls are 28 in number?

 Use inductive reasoning to make a conjecture about a rule that relates the number you selected to final answer. Try to prove your conjecture by using deductive reasoning.

1. Pick a number

Double it

Subtract 20 from the answer

Divide by 2

Subtract the original number Result:

2. Pick a number Multiply it by 9

Add 21

Divide by 3

Subtract three times the original number Result:

3. Pick a number

Add 6

Multiply the answer by 9

Divide the answer by 3

Subtract 3 times the original number Result

 Use the inductive reasoning to predict the next term in each list.

1. 4, 8, 12, 16, 20, 24, ?

2. 5, 11, 17, 23, 29, 35, ?

3. 1, 8, 27, 64, 125, ?

4. -2, 3, -4, 5, -6, 7, ?

5. 2, 5, 10, 17, 26, ?

Let f(x)=5x4 +3x3 +1and g(x)=3x2 +2x+1 in Z9[x]. Determine the quotient and remainder upon dividing f(x) by g(x).

Sam and Peter had $42 and $30 respectively. They each spent the same amount of money on a pair of shoes. How much was the pair of shoes if Sam had twice as much money as Peter after buying the pair of shoes?

find the set of values of x for which:

(a) x^2-3x>=10 and (x-5)^2<4

(b) x^2+4x-21<=0 and x^2-9x+8>0

(c) x^2+x-2>0 and x^2-2x-3>=0

If ( x*2 +1/x)*2 =15

Then x=1/x=?