CPhill

Correct, penquino !!!

The false conclusion is that only 4 students read 5 or more books....4% read five or more books ⇒  "C"

Note that the function is at a max  at  x   =  2

From there....the function decreases as we move to the right...so...it decreases on    ( - 2, inf )  =   2 < x < inf ⇒ "C"

  {  Positive infinity is to the right....negative infinity is to the left.... on the x axis }

I think that you are getting confused..."interval"  usually refers to  the   x axis  values

The function decreases to -infinity along the y axis  as we move to the right

So  we can say that, as we move toward infinity on the x axis....the function decreases to -infinity along the y axis

Does that make sense....???

19 + 5x > 26    where x is the average number of digs you must have in each game to break your record

If  b/a   is a root...then   ( ax  - b )  is a factor.....

To see this...set   

ax  - b  = 0   add b to both sides

ax  = b     ...divide both sides by a

x   = b / a

So...this means that  3/4 is a root   and  ( 4x - 3)  is a factor  ⇒  C

feet

8.5 x 10-2  =  .085 miles x 5280  feet /1 mile   = 448.8 feet

A /  B  = 

[2.4 x 10^11 ]  / [ 8 * 10^9 ] =

[2.4 / 8 ]  *  [  10^11 / 10^9 ]    =

.3 * 10^2   =

30  times as great  

x^3  + x^2  - 8x  - 8     factor as

x^2 (x + 1)  - 8 ( x + 1) 

(x + 1)  (x^2  - 8)  =

(x + 1) (x  + √8) (x - √8 ) 

Setting each factor to 0 and solving for  x  produces  x  = -1, x = -√8  , x  = √8

So....three real roots ⇒   "B"

1L  = 1 Kg...so

[ 3.5 x 10^ (-2) ]  *  [2.64 x 10^20   ]  =

[3.5 x 2.64  ]x  [ 10^(-2) * 10^(20 ]   =

9.24 x  10^18   Kg

3x^5  - 2x  + 1    =   0 

-1 is a root because   3(-1)^5  - 2(-1) + 1   =  -3 + 2 + 1  = 0

Look at the graph here : https://www.desmos.com/calculator/3lxzwfyib2

The graph never  intersects the  x axis again...so the remaining roots are complex

WolframAlpha shows that the polynomial has 4  remaining complex roots : 

https://www.wolframalpha.com/input/?i=3x%5E5%C2%A0+-+2x%C2%A0+%2B+1%C2%A0+%C2%A0+%3D%C2%A0+%C2%A00