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beks73 [17]
3 years ago
7

"Which statement best describes ? –6 is in the domain of f(x) but not in the range of f(x). –6 is not in the domain of f(x) but

is in the range of f(x). –6 is in the domain of f(x) and in the range of f(x). –6 is neither in the domain of f(x) nor in the range of f(x)."

Mathematics
1 answer:
Feliz [49]3 years ago
8 0

Answer:

-6 is not in the domain of f(x) but in the range of f(x)

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

The given function is:

f(x) = -2\sqrt{x-7} + 1

To make f(x) is defined, the value inside the square root must be ≥0

<=> x - 7 ≥0

<=> x ≥7

=> -6 is not in the domain of f(x)

How about in the range of f(x)? We can test it by using this ex:

f(x) = -2\sqrt{x-7} + 1 = -6

<=> -2\sqrt{x-7} = -7

<=> \sqrt{x-7} = 7/2

<=> x - 7 = 49/4

<=> x = 77/4 ≥7  

So -6 is in the domain of f(x)

–6 is not in the domain of f(x) but is in the range of f(x)

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Answer:

1/2= 5/10

5/10 - 3/10 = 2/10 or 1/5

so planet X is 1/5 of a light-year closer

Step-by-step explanation:

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Write the slope intercept form of the equation of the line through the given points. (5,-1) and (-5,2)
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Answer:

y=-\frac{3}{10} x+\frac{1}{2} or -\frac{3}{10}

Step-by-step explanation:

first use the y2-y1/x2-x1 formula then use y=mx+b after

plug in 2 for y2 and -1 for y1

plug in -5 for x2 and 5 for x1

\frac{2-(-1)}{-5-5}=

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_____________________

this is the y=mx+b formula *extra info ig*

i usually use the first point for this but u can use watever point u want

plug in 5 for x

plug in -1 for y

and plug -3/10 for m

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add -3/2 on both sides

-1+3/2=1/2

1/2=b and b is ur y-intercept

y=-3/10x+1/2

hope this helps

7 0
3 years ago
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Which table best represents the system of equations below. y=x-4 y=(2x-17)
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Answer:

To make a table u need to have coordinates, (x, y).

Solve for them using substitution:

y = x - 4 ↔ x = y + 4

y = (2x - 17)

PLUG IN TO y = (2x - 17).

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Keep solving for x and y to have your coordinates for your table.

6 0
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