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tigry1 [53]
3 years ago
5

Select the correct answer. Consider the function f(x) = 3x and the function g, which is shown below. How will the graph of g dif

fer from the graph of f? The graph of g is the graph of f shifted to the right by 3 units. The graph of g is the graph of f shifted down by 3 units. The graph of g is the graph of f shifted to the left by 3 units. The graph of g is the graph of f shifted up by 3 units.
Mathematics
1 answer:
Sloan [31]3 years ago
8 0

Answer:

The graph of g is the graph of f shifted up by 3 units.

Step-by-step explanation:

Consider the graph of a function r with real numbers k and h.

Transformation Effect

r(x) + k shifts the graph up k units

r(x) - k shifts the graph down k units

r(x + h) shifts the graph to the left h units

r(x - h) shifts the graph to the right h units

It is given that g(x) = f(x) + 3. Therefore, the graph of g is the graph of f shifted up by 3 units.

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0.36363636363 is the answer
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3 years ago
The first term of an arithmetic sequence is 7 and the sixth term is 22. Find(a)the common difference;(2)(b)the twelfth term;(2)(
SVEN [57.7K]

d = 3 , a₁₂ = 40 and Sx_{100} = 7775

In an arithmetic sequence the nth term and sum to n terms are

<h3>• an = a₁ + (n-1)d</h3><h3>• S_n = \frac{n}{2}[2a + (n-1)d]</h3><h3>where d is the common difference</h3><h3>a₆ = a₁ + 5d = 22 ⇒ 7 + 5d = 22 ⇒ 5d = 15 ⇔ d = 3</h3><h3>a₁₂ = 7 + 11d = 7 +( 11× 3) = 7 + 33 = 40</h3><h3>S₁₀₀ = \frac{50}{2}[(2×7) +(99×3)</h3><h3>       = 25(14 + 297) = 25(311)= 7775</h3>
7 0
3 years ago
Can some one help me plz trying to figure out? Need help ASAP
zloy xaker [14]

Answer:

a. = -35 \\ b. = 9a + 1 \\ c. = -35

Step-by-step explanation:

a. \\  =  >  \: 7a - 1 + 2a + 2 \\  \\  =  > 7( - 4) - 1 + 2( - 4) + 2 \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \: (a =  - 4) \\  \\  =  >  - 28 - 1 - 8 + 2 \\  \\  =  >  - 37 + 2 \\  \\  =  >  - 35 \\  \\  \\ b. \\  =  > 7a - 1 + 2a + 2 \\  \\  =  > 7a + 2a - 1 + 2 \\  \\  =  > 9a + 1 \\  \\  \\ c. \\  =  > 9a + 1 \\  \\  =  > 9( - 4) + 1 \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \: (a  =  - 4) \\  \\  =  >  - 36 + 1 \\  \\  =  >  - 35

5 0
3 years ago
How long can I talk on the phone if they charge 8 cent a minute and I have 90 cents
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U can talk only for 11 minutes and have 2cents left
6 0
3 years ago
Read 2 more answers
What two numbers add to 13 but multiply to negative 12?
Phoenix [80]

9514 1404 393

Answer:

  13.8654599313 and -0.8654599313

Step-by-step explanation:

If one of the numbers is x, then the other is 13-x, and their product is ...

  x(13 -x) = -12

  x^2 -13x = 12 . . . . multiply by -1 and simplify

  x^2 -13x +6.5^2 = 12 +6.5^2 . . . . complete the square

  (x -6.5)^2 = 54.25

  x -6.5 = √54.25

  x = 6.5 +√54.25 ≈ 13.8654599313

and the other number is ...

  13 -x = 13 -13.8654599313 = -0.8654599313

The two numbers are 13.8654599313 and -0.8654599313.

3 0
3 years ago
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