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3 years ago

Describe the behavior of the function p around its vertical asymptote at x = -9

Mathematics

1 answer:

nydimaria [60]3 years ago

5 0

Answer:

Step-by-step explanation:

The graph of P approaches -∞from the left and +∞ from the right of the asymptote

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Write a unit rate for the situation. 6 kittens in 3 boxes

MrRa [10]

Answer:

6:3

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Josh exercises at the gym 3 3/4 hours a week. He spends 2/5 of his time at the gym lifting weights. How many hours a week does J

Natali5045456 [20]

Answer:

1.5hours

Step-by-step explanation:

Firstly in this question, we convert the time given to minutes.

Using the conversion of 60 seconds make a minute, we have 3/4 hours as 3/4 * 60 = 45 minutes. Let’s add this to a total of 3 hours which is 180 minutes. This gives a total of 225 minutes.

Now, we are told that he spends 2/5 of his time lifting weight. This is equivalent to 2/5 * 225 = 90 minutes

We convert this to hour = 90/60 = 1.5 hours

3 0

3 years ago

Find the indicated limit, if it exists.

kondor19780726 [428]

Answer:

d) The limit does not exist

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit: $\displaystyle \lim_{x \to c^+} f(x)$
Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Property [Addition/Subtraction]: $\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)$

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

Step 1: Define

Identify

$\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}$

Step 2: Find Right-Side Limit

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^+} 5 - x$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} 5 - x = 5 - 5 = 0$

Step 3: Find Left-Side Limit

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^-} x + 3$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8$

∴ Since $\displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)$ , then $\displaystyle \lim_{x \to 5} f(x) = DNE$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

5 0

3 years ago

Olivia is buying bundles of wood for a campfire.The bundles of wood can't be split up.if each bundle costs $3,how many bundles c

victus00 [196]

Answer:

1 $ left over

Step-by-step explanation:

10$

wood wood wood

3$ 3$ 3$

she wood only buy 3 and have 1$ left

3 0

2 years ago

What's the answer to this question and how do I solve it?

Katyanochek1 [597]

Answer:

80 gummy bears are in 4 servings.

Step-by-step explanation:

2 servings=40 gummy bears

3 servings=60 gummy bears

40+20=60

Add 20 gummy bears for every serving.

5 servings=100 gummy bears

100-20=80 gummy bears are in 4 servings

OR you can also do:

40÷2=20 gummy bears are in each serving

So, 4x20=80 gummy bears are in 4 servings

7 0

3 years ago