Which of the following is the function for the graph below and shows the end behavior of the function as x ⟶ +∞?

Mathematics

2 answers:

sladkih [1.3K]2 years ago

6 0

The simplest solution:

y - intercept of the function on the graph is (0; 6).

Only function f(x) = (4x^2 - 7x - 2)(2x - 3) has that y-intercept

f(0) = (4 · 0² - 7 · 0 - 2)(2 · 0 - 3) = (-2)(-3) = 6

Other functions have y - intercept equal (0; -6).

f(0) = (0 ... - 2)(0 + 3) = (-2)(3) = -6 or f(0) = (0 ... + 2)(0 - 3) = (2)(-3) = -6

Grace [21]2 years ago

5 0

The end behaviour is f(x) ---> +∞ because the end of the graph rises to the right so its either B or C

The roots of B are -0.25, 1.5 and 2

( because 4x^2 - 7x - 2 = (4x + 1)(x - 2) and 2x - 3 = 0) ) and these values agree with the graph

Answer is B

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A card is drawn at random from a deck of 52 playing cards. Find the probability that the card drawn is:

melomori [17]

probability that the card drawn is:

an ace or a king = 0.1538
a king or a diamond = 0.3269

<u>Step-by-step explanation:</u>

Here we have , A card is drawn at random from a deck of 52 playing cards. We need to find that Find the probability that the card drawn is:

an ace or a king

A deck of standard 52 cards contain four aces. There are four kings in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.

$probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}$

⇒ $probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}$

⇒ $probability = \frac{8}{52}$

⇒ $probability = 0.1538$

a king or a diamond

A deck of standard 52 cards contain four kings. There are 13 Diamonds in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.

$probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}$

⇒ $probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}$

⇒ $probability = \frac{(13+4=17)}{52}$