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PIT_PIT [208]
3 years ago
11

The graph of f(x) = log x + 3 is the graph of g(x) = log x translated 3 units |

Mathematics
2 answers:
vesna_86 [32]3 years ago
5 0

Answer: 3 units up //

Step-by-step explanation:

Tasya [4]3 years ago
5 0

Answer:

1. up

2. add 3 to the y-coordinate

3. b

Step-by-step explanation:

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The graph below shows the function f(x)=x-3/x2-2x-3. Which statement is true?
BARSIC [14]
1. Domain.

We have x^2-2x-3 in the denominator, so:

x^2-2x-3\neq0\\\\(x^2-2x+1)-4\neq0\\\\(x-1)^2-4\neq0\\\\(x-1)^2-2^2\neq0\qquad\qquad[\text{use }a^2-b^2=(a-b)(a+b)]\\\\(x-1-2)(x-1+2)\neq0\\\\
(x-3)(x+1)\neq0\\\\\boxed{x\neq3\qquad\wedge\qquad x\neq-1}

So there is a hole or an asymptote at x = 3 and x = -1 and we know, that answer B) is wrong.

2. Asymptotes:

f(x)=\dfrac{x-3}{x^2-2x-3}=\dfrac{x-3}{(x-3)(x+1)}=\boxed{\dfrac{1}{x+1}}

We have only one asymptote at x = -1 (and hole at x = 3), thus the correct answer is A)
6 0
3 years ago
Read 2 more answers
Which inequality represents this graph?
murzikaleks [220]
The answer is y
y > 4
3 0
3 years ago
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A museum worker randomly displays 5 historical writings in a row. What is the probability that the worker lines them up from the
Mars2501 [29]

The number of ways to arrange the 5 writings in a row is 5! = 5 * 4 * 3 * 2 * 1 = 120 ways.

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Therefore, the probability is 1/120.

4 0
3 years ago
Find the nth term of the geometric sequence whose initial term is a1
Alborosie

Answer:

Step-by-step explanation:

geometric progresion formula:

a_n=a_1*r^{n-1}\\a_1=0.5\\r=10\\a_n=0.5*10^{n-1}

6 0
2 years ago
alaska's glacier bay national had 431, 986 visitors in one year the next year the part had 22,351 more visitors than a year befo
PIT_PIT [208]
22,351 + 431,986 = <span>454,337

454,337 + 431,986 = </span><span>886,323

during the two years </span><span>886323 people visited </span>
5 0
3 years ago
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