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3 years ago

Identify the holes, vertical asymptotes, and horizontal asymptotes of the following.

Mathematics

1 answer:

Andrews [41]3 years ago

6 0

Answer:

Horizontal asymptote: y = 0

Vertical asymptote: x = 3

Step-by-step explanation:

The vertical asymptote in this graph would be when x = 3 because it would make the denominator 0, which would make the equation undefined.

There will not be any holes in the graph, because there won't be any point undefined in the function except for when x = 3, but that's a vertical asymptote.

Now, for the horizontal asymptote, we see what value y approaches as x approaches plus and minus infinity. Since x is in the denominator, y will approach 0 when it's plus or minus infinity.

Horizontal asymptote: y = 0

Vertical asymptote: x = 3

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Select the correct answer.

Marta_Voda [28]

Answer: Step 5

===================================================

Reason:

The order of operations is PEMDAS

P = parenthesis
E = exponents
M = multiplication
D = division
A = addition
S = subtraction

The multiplication and division are on the same level of precedent, and the same goes for addition and subtraction. Some math textbooks may refer to PEMDAS as BODMAS, which is basically the same thing.

Notice how division comes before addition. So we must compute the $10 \div 2$ portion first before adding in step 4.

This is what steps 4 and onward should look like

$2 + 10 \div 2\\\\2 + 5\\\\7$

So that's why the error is in step 5

If there was parenthesis around the "2+10", and we had $(2+10) \div 2$ , then step 5 given by your teacher would be correct.

5 0

2 years ago

| Juan wants to put carpeting in his living

Citrus2011 [14]

Answer: a

Step-by-step explanation:

15.00x13.00=195

3x15.00=45.00

15x10.00=150.00

150.00+45.00=195.00

7 0

3 years ago

Solve. -7x+29=6(8+3x) x=

Otrada [13]

Answer:

x = -0.76

Step-by-step explanation:

-7x + 29 = 6 (8 + 3x)

-7x + 29 = 48 + 18x

-7x = 48-29 + 18x

-7x = 19 + 18x

-7x-18x = 19

-25x = 19

x = 19/-25

x = -0.76

8 0

3 years ago

Kara mixes different colors of paint to create new colors. The table shows the amount of paint Kara mixes per batch.

klemol [59]

Answer:

I've done this question: Its batch 5

Step-by-step explanation:

It has to be all equal proportions

4 0

3 years ago

Read 2 more answers

Pin this please answer my question i will make you a brainlist .....

cricket20 [7]

Answer:

Step-by-step explanation:

Given:

Borrowed amount P = Rs 100000
Time t = 3 years
Number of compounds n = 3
Interest I = Rs 33100
Rate r = ?

Use formula:

I = P(1 + r)³ - P

Substitute values and solve for r:

33100 = 100000(1 + r)³ - 100000
133100 = 100000(1 + r)³
(1 + r)³ = 133100/100000
(1 + r)³ = 1.331
1 + r = ∛1.331
1 + r = 1.1
r = 0.1 or 10%

5 0

3 years ago