If

, then you have


By the intermediate value theorem, there will be some number

such that

(i.e.

will have a root in

) if you can guarantee that

or

.
Since the coefficients

are all positive, then you know right away that

, so you need to have

in order for there to be such a

.
This means you need to have

which means (A) must be the answer.
There are 52 cards in a standard deck, and 4 suits. There is one 9 per suit, so 4 cards, plus one 10 per suit, so 8 cards. 8 cards divided by 52 cards in a deck is 0.15384615 or 0.154.
Answer:
$2.50
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
Angle ABD = Angle CBD + Angle ABC
You know ABD is 70, CBD and ABC are in terms of x
70 = 5x + 13 + 3x + 33
70 - 13 - 33 = 8x
24 = 8x
3 = x
Replacing x in Angle ABC:
3 * 3 + 33 = 42