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mylen [45]
2 years ago
6

What do both of these functions have in common? f(x)=3/2 (x-7) -2 g(x) = 1.5ln(x-2)+7

Mathematics
1 answer:
tamaranim1 [39]2 years ago
4 0

Both the function have same vertical stretch of 1.5 , Option B is the correct answer.

<h3>What is a Function ?</h3>

A function is a law that relates a dependent and an independent variable.

The functions given in the question is

f(x) = 3/2 |(x -7)| -2

g(x) = 1.5 ln(x-2)+7

For a function f(x)

f'(x) = a f(x) represents the stretching of a function if a> 1

here the value of a = 1.5 for both the functions , so they have same vertical stretch of 1.5 .

Therefore from the options given , Option B is the correct answer.

The complete question is attached as an Image.

To know more about Function

brainly.com/question/12431044

#SPJ1

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Maths trig functions <br> please help
Nikitich [7]

1. According to the plots, the curves intersect when x=90^\circ and x=360^\circ.

We can confirm this algebraically.

\sin(x) + 2 = -\cos(x) + 3

\sin(x) + \cos(x) = 1

\sqrt2 \sin\left(x + 45^\circ\right) = 1

\sin\left(x + 45^\circ\right) = \dfrac1{\sqrt2}

x + 45^\circ = \sin^{-1}\left(\dfrac1{\sqrt2}\right) + 360^\circ n \text{ or } x + 45^\circ = 180^\circ - \sin^{-1}\left(\dfrac1{\sqrt2}\right) + 360^\circ n

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x + 45^\circ = 45^\circ + 360^\circ n \text{ or } x + 45^\circ = 135^\circ + 360^\circ n

x = 360^\circ n \text{ or } x = 90^\circ + 360^\circ n

We get the two solutions we found in the interval [0°, 360°] with n=1 in the first case, and n=0 in the second case.

2. We have \sin(x)=0 when x \in \{0^\circ, \pm 180^\circ, \pm360^\circ, \ldots\}. For the given plot domain [0°, 360°], this happens when 180^\circ < x < 360^\circ.

3. The domain for both equations is all real numbers in general, but considering the given plot, you could argue the domains would be [0°, 360°].

\sin(x) is bounded between -1 and 1, so \sin(x) + 2 is bounded between -1 + 2 = 1 and 1 + 2 = 3, and its range is [1, 3].

Likewise, -\cos(x) is bounded between -1 and 1, so that -\cos(x)+3 is bounded between -1 + 3 = 2 and 1 + 3 = 4, so its range would be [2, 4].

3 0
1 year ago
1. How many solutions does this system of equations have?
Inga [223]

Answer:

A. Two solutions

Step-by-step explanation:

y=6x−1

4x+4=6x−1

4x+4+−6x=6x−1+−6x(Add -6x to both sides)

−2x+4=−1

−2x+4+−4=−1+−4(Add -4 to both sides)

−2x=−5

−2x

−2

=

−5

−2

(Divide both sides by -2)

x=

5

2

Step: Substitute

5

2

for x in y=4x+4:

y=4x+4

y=4(

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6 0
2 years ago
Combine the following expression: -3b+9-c+5b-12
Katen [24]

Answer:

Step-by-step explanation:

for this one all you have to do is combine like terms

the like terms are -3b and 5b and -12 and 9

9-12=-3

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so now we have

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have a great day :D

4 0
3 years ago
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