Lim x→a f(x) = 0
lim x→a g(x) = 0
lim x→a h(x) = 1
lim x→a p(x) = ∞
lim x→a q(x) = ∞

(a) lim x→a [f(x) − p(x)]
lim x→a f(x) - lim x→a p(x)
0 - ∞
-∞

(b) lim x→a [p(x) − q(x)]
lim x→a p(x) - lim x→a q(x)
∞ - ∞
0

(c) lim x→a [p(x) + q(x)]
lim x→a p(x) + lim x→a q(x)
∞ + ∞
∞

3 0

3 years ago

Read 2 more answers

Find the quotient of -75 divided (-15)

storchak [24]

Answer:

Step-by-step explanation:

-75 divided (-15) = 5

5 0

3 years ago

Read 2 more answers

A jar contains two blue and five green marbles. A marble is drawn at random and then replaced. A second marble drawn at random.

DerKrebs [107]

corrected question:A jar contains two blue and five green marbles. A marble is drawn at random and then replaced. A second marble drawn at random. For each of the following, find the probability that: a) both marbles are blue b) both marbles are the same color c)the marbles are different in color

Answer:

Step-by-step explanation:

<u><em>The probability was done with replacement.</em></u>

Probaility of an event happening $=\frac{number of required outcomes}{number of possible outcomes}$

number of blue marbles= 2

number of green marbles=5

total number of marbles=7

(a) probability that both marbles are blue = pr(first is blue)*pr(second is blue)

$=\frac{2}{7}*\frac{2}{7}$

$=\frac{4}{49}$

(b)probability that both marbles are the same color =pr(first is blue)*pr(second is blue) + Pr(first is green)*Pr(second is green)

$=\frac{4}{49} + \frac{5}{7}*\frac{5}{7}$

$=\frac{4}{49} + \frac{25}{49}$

$=\frac{29}{49}$

(c)Probability that the marbles are different in colors=pr(first is blue)*pr(second is green) + Pr(first is green)*Pr(second is blue)

$=\frac{2}{7}*\frac{5}{7}+ \frac{5}{7}*\frac{2}{7}$

$=\frac{10}{49}+\frac{10}{49}$

$=\frac{20}{49}$

6 0

3 years ago

Which statement BEST describes the growth of bacteria modeled by the function f(x)=1.8x

lara [203]

Answer:

Step-by-step explanation:

f(x) = 1.8x is a linear function and does not model the growth of bacteria. Perhaps you meant f(x) = 1.8^x, which is an exponential function whose initial value is 1. Please ensure that you have copied down this problem exactly as it was presented.

6 0

3 years ago