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2 years ago

Which ordered pair can be removed so that the resulting graph represents a function?

Mathematics

1 answer:

Sunny_sXe [5.5K]2 years ago

6 0

Answer:

(1, 3)

Step-by-step explanation:

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5n + 3n simplify each expression

Setler79 [48]

Answer: 8n

Step-by-step explanation: 5n + 3n

3 0

2 years ago

Find the product of (3x²y²) (4xy³)²

Elena-2011 [213]

First, I would solve the second parenthesis.

(4xy^3)^2

Distribute

(4^2 x^2 y^6)

4 x 4 = 16

Now, combine like terms

3x^2 x 4x^2 = 12x^4

y^2 x y^6 = y^12

So, the answer would be 12x^4 y^12

Hmm actually I'm not sure. I did this about two years ago so I don't really remember sorry if this is really wrong

5 0

3 years ago

Read 2 more answers

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

2 years ago

What is the probability of choosing a

sladkih [1.3K]

Answer:

Probability of choosing a penny at random is 1/5 or 0.2

Step-by-step explanation:

For many probabilities like this one, you have to add the total of materials or items together, even if they are different colors, shape, coin type, etc.

you have 12 pennies, 19 nickles, 14 dimes, and 15 quarters. This adds up to a total of 60 coins. Twelve of those are pennies.

You have twelve possible pennies to choose at random from a total of 60 in a bag.

So 12/60/ This simplifies to a probability of 1/5. If you divide 1 by 5 than it would be 0.2

The probability of choosing a penny from a bag of coins is 1/5, or 0.2.

Hope this helps

3 0

3 years ago

Marcos mixes 504 ounces of lemonade. he wants to fill the 14 cups he has with equal amounts of lemonade how much lemonade should

sergeinik [125]

Answer:

Step-by-step explanation:

Take 504 ounces of that lemonade and divide that into 14 cups.

And you get 36 ounces for each cup.

3 0

3 years ago

Read 2 more answers