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This was answered the other day.....

if the discriminant is less than zero it will not be a real number

x^2+bx+2 = -2

x^2+bx+4 = 0           discriminant is   b^2 - 4(ac)  =   b^2 - 4(1)(4)     if this is less than zero it will meet the requirements of your Q

b^2-16 <0

b^2 <16

b< +-4        so the interval is        (-4,4)

These are both equations of lines, with a common point at    3,-6      extend the blue line to the left.......and starting at the far right blue dot, extend the line through the red dots down and to the right

\(4543345+3456787654 = \boxed{3461330999}\)

\(555+23456765674736 = \boxed{23456764675291}\)

x will be the pages he needs to read in each of 7 days to complete the book..... he has read 55 pages of the book already....so he has 300- 55= 245 pages left to read in 7 days       245/7 = 35 pages a day to complete the book in 7 days:

7x+55 >=300      subtract the 55 pages he has read from both sides

7x>=245               now divide by 7 days

x >= 35         he has to read at least 35 pages each day to finish in seven days

You're welcome! Good luck with your essay!

This actually will help me a lot. Thanks so much for your help. :)

First off: Great choice of essay topic. I'm not sure if this could help you or not, but I put a Wikipedia link about sirens and pop culture (shows, companies, books, movies) that they have influenced.

https://en.wikipedia.org/w/index.php?title=Sirens_in_popular_culture&oldid=131755358

ah sorry

Determine whether each binomial is a factor of x^3 + x^2 - 16x - 16.

Read your question......you left off the really important relationship between y  and z.

Eh. Not my best day but not my worst. How's everyone else?

If the binomial is a factor, then the root will be true

Example    x+2     has the root x=-2  sub in -2        -8 +4 +32-16   does not equal 0     not a factor

example     x+1     Has the root   x = -1  sub in -1   -1+1+16-16 = 0     Is a factor

Can you do the others?

Find an equation of the tangent line to the curve at the given point.

If x is years and y is what you will have, then you will have   5(14)  = 70

    you will have 70 + ramble of digits    

I'm good. How about you?👍🏼

f(x) = x^1/2

f ' (x) = (1/2 (x ^-1/2))    = slope       at   x = 9 = 1/2 (1/3) = 1/6

y= 1/6 x + b    at point   9,3

3 = 1/6 (9) + b       b = 1 1/2

y = 1/6 x + 1 1/2

I think by "Integer Division", you mean the "Floor Function"!.

Using Numberline graph, it gives the following solutions:

x =4039, 4043, 4045, 4046, 4049, 4050, 4052 and 4056.

U didn't know what mean integer division like me(

Yeah Lately I have been finding math to be my strong point so I have been pretty active on here to see if the skills I have are worth anything to others.

Thank you so much!!

Here is the webpage calculator...

I know right My main site I use is Khan acdemy for computer programing  and so forth I like this for just the helpfu;l people and to help others.