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Ok...

Right you are!

Let's call the answer x.

x*3+7=3x+7<17

3x<10

x<10/3

The largest number is 3.

You are very welcome!

:P

x  = the number

3 * x  + 7 < 17    subtract 7 from both sides

3*x < 10

x< 3.3333        so x < 4   Largest number would be 3

4.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

bro there's your answer

Yeppers !

Correct  !!!!!!

a)  We could have two primes that divide the integer 

Suppose that the number can be prime-factored into  a^m * b^n

So

(m + 1) ( n + 1)  =  20

And  m, n    could be  (in some order)   

3, 4  or

1, 9

b )   We could have three primes that divide the integer

Suppose that the integer  can be prime-factored into  a^k * b *m * c ^n

So

(k + 1) (m + 1) ( n + 1)  = 20

And k, m, n   could be  (in some order)

1, 1, 4

3. If f(x)=x^3 + 3x^2 + 3x + 1, find   f (f^-1 (2010) )

Not as tough as you might think

f ( f^-1 (2010) )    =   2010     !!!

2. When the graph of y = 2x^2 - x + 7 is shifted four units to the right, we obtain the graph of y = ax^2 + bx + c. Find a + b + c.

Translating the graph  four units to the right  produces

2(x - 4)^2   - (x - 4)  +  7         =

2 ( x^2 - 8x + 16)  - x + 4  + 7  =

2x^2 - 16x + 32 - x + 11   =

2x^2 - 17x + 43

a + b + c   =    2  + (-17) + 43    =  28

1. If the domain of the function log x^2 is x < a or x > b, for some a and b, find a + b.

We cannot take the log of  0  or a negative number

Thus.....x^2   must be positive.....so....    x  can be <  0    or > 0

So....

a + b  =   0

5 million buddy

This isn’t harassment, EW; it’s an observation of your presentation style. Your presentation style may suggest ignorance, but your lazy indifference is very obvious.  If you care enough to answer the question, you should present your solution with reasonable comprehension and basic instructional formality.  Even after correcting your answer, you still did not include the units. 

You are not an island on this forum: over the years, thousands will read this question and your answer. If yours was the only one on this thread, they would leave with no more knowledge than they came with, and some would leave dumber than they arrived.  Dumbness is contagious! So is laziness!

GA     

x + y + 3z = 10   ⇒   -2x - 2y - 6z  =  -20    (1)
-4x + 2y + 5z = 7    (2)

kx + z = 3

Add   (1)  and (2)   and we get that

-6x - z  =  -13   ⇒    6x + z  = 13

When k =  6....then we have this system

6x + z = 13

6x + z  = 3

But this is impossible.....so.....k = 6

It usually does help....at least she has the correct answer.....and an explanation as to how it was derived, rather than just giving an answer (which is really not why we are here).  

First one.....we have.....

5pi  =  2pi (r) (100 / 360)

5 =  2 (100/ 360)  * r

5 = 200/360  * r

5 =  20 / 36 *  r

5 =   5 / 9  * r        multiply both sides by   9 / 5

5 *  ( 9 / 5)   =  r

9  (meters)  =   r

B)9 meters

C)9/4π ft^2

You are getting there:

   You forgot the 1/2 part     triangle area = 1/2*  base * height

The difference is 'How much bigger is the larger than the smaller?'   DOes that help?