Factor 7x2-16x+4

Evaluate the quotient (5 + i)/(1 + 3i)

One positive number is 5 times another number. The difference between the two numbers is 1352, find the numbers

1) y=5x
2) y-x=1352


then we can write

5x-x=1352
4x=1352
x=1352/4
x=338

so y=5(338)=1690

What is the solution to the radical equation?

  - 1 = 2

The element lawrencium has a half-life of 10 hours. What fraction of 1 ounce of lawrencium will remain after 4 days 4 hours?

4 days and 4 hours is 4(24)+4 = 100 hours 
so our quantity is halved 10 times over the time period: 

 



so its 1/1024 oz

Find the GCF of the list.

We can successively divide out the gcf for each type of variable (as well as the coefficient). Each of them will be a factor for the entire gcf:

7 raised to 5x-8 and 5 raised to x+2 if product of these two is equal to 30625 then how to find value of x

:)

A number is divided by three. The result is divided by seven, for a final result of eight. What was the original number?

 


 

Two angles are complementary. The measure of one angle is 46 degrees more than three times the measure of the other. Find the measure of each angle.

1) 
2)  

so 


 
therefore 

How do i factorise the below?

How do i factorise the below? (a+2)(2a)+7a+14 and 64x^2+80xy+25y^2

First one:


second:

(5x-7)/5=(6x+4)/2

Since this is a proportion, we'll cross multiply the solve for x:

:)

The inequality x<5 is a statement about the size of x compared to 5 

adding/subtracting...
x+1<5+1
x+2<5+2
x+a<5+a 
multiples of both sides...
2x<10
2x<15
bx<5b 
In fact many reversible things we do to the left (as well as the right side) are possible :)

what is 3 square root of 2 + square root of 8

Make a conjecture about the next item in the sequence: 1, –8, –17, –26, –35

every term seems to be 9 less than the preceding term :)

1-9=-8
-8-9=-17
-17-9=-26
-26-9=-35
so the next term is probably -44

if x+1/x= 2 then what is the value of x^3+1/x^2 ?

x+1/x= 2 is true if x=1, so that means x^3+1/x^2=2 as well. Take a look:

Do the equations x = 4y + 1 and x = 4y – 1 have the same solution? How can I explain this to someone that does not know algebra?

No. The solution of a linear function in two variables is an infinite set of points - so we typically represent it as a graph, or we may talk about particular solutions. For example what is x when y=0?

Graphing each of these equations we will get two different lines - that's one sure-fire way to know they have different solutions.

:)

can you simplify x^2 over absolute value of x?

what is the vertex: y = -x^2 - 4x - 3

Your Answer:

has a=-1, b=-4, c=-3
We can use the vertex formula:



and substitute to get y:




so our vertex is v(-2,1)

Find the value of x Right triangle with the sides x, 2x+4, 2x+6

sides: x, 2x+4=2(x+2), 2x+6=2(x+3) 
so we write: 

 
 
 

 
 
 
 
which gives us x=-2 or x=10 
but x>0 

so only x=10 works :)