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kotegsom [21]
3 years ago
5

f(x) = 7x g(x) = 7x + 6 Which statement about f(x) and its translation, g(x), is true? The domain of g(x) is {x | x > 6}, and

the domain of f(x) is {x | x > 0}. The domain of g(x) is {y | y > 0}, and the domain of f(x) is {y | y > 6}. The asymptote of g(x) is the asymptote of f(x) shifted six units down. The asymptote of g(x) is the asymptote of f(x) shifted six units up.
Mathematics
2 answers:
Cloud [144]3 years ago
7 0
The asymptote of g(x) is the aymptote of f(x) shifted six units up
Oksanka [162]3 years ago
5 0

Answer:

The correct option is 4. The asymptote of g(x) is the asymptote of f(x) shifted six units up.

Step-by-step explanation:

The given functions are

f(x)=7x

g(x)=7x+6

Both are linear function and the domain of a linear function is all real real numbers.

Domain of f(x) = {x | x∈R }

Domain of g(x) = {x | x∈R }

Therefore option 1 and 2 are incorrect.

The linear asymptote of a linear function f(x)=mx+b is

y=mx+b+\delta x

Where, δx is infinitely small number, but not quite equal to 0.

The asymptote of f(x) is

y=7x+\delta x

The asymptote of g(x) is

y=7x+6+\delta x

It means the asymptote of f(x) shifts six units up to get the asymptote of g(x).

Therefore option 4 is correct. The asymptote of g(x) is the asymptote of f(x) shifted six units up.

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MAVERICK [17]
.5*.5=.25

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8 0
3 years ago
Please help with math
klasskru [66]

Answer:

D

Step-by-step explanation:

The other graphs are functions.

Graph A is a linear function, and C is an Absolute Value Function.

Graph B also seems to be a function.

However- I can only narrow it down to B or C.  I apologize if my answer is not correct.

6 0
2 years ago
A line has a slope of -2/3 and passes through the point (-3,8). What is the equation of the line?
LiRa [457]

Answer:

Step-by-step explanation:

We'll use the standard equation y=mx+b to solve this problem. m is the slope of the line and b is the y intercept.

We know the slope, but we have to solve for the y intercept. To do this (I mean solve for 'b'), we need to know the slope, x value, and y value. We know the slope (-2/3), x= -3, and y=8. Let's plug this into y=mx+b and solve for b.

y=mx+b\\8=-\frac{2}{3}*-3 +b\\8=2+b\\b=8-2\\b=6

Let's plug all of this back into the first equation y=mx+b.

y=mx+b\\y=-\frac{2}{3}x+6

That's the answer to this problem.

I hope this helps.

7 0
3 years ago
Read 2 more answers
Find the equation of the line that contains the point (3,9) and is parallel to the line y=4x+1. Write the line in slope-intercep
Aleksandr-060686 [28]
Y = 4x + 1....slope here is 4. A parallel line will have the same slope

y = mx + b
slope(m) = 4
(3,9)...x = 3 and y = 9
now we sub and find b, the y int
9 = 4(3) + b
9 = 12 + b
9 - 12 = b
-3 = b

so ur parallel equation is : y = 4x - 3
5 0
3 years ago
Qaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Kipish [7]

Answer:

32.8 miles

Step-by-step explanation:

Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?

Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :

y = -0.95x + c

Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:

48 = -0.95(31) + c

c = 48 + 0.95(31)

c = 48 + 29.45

c = 77.45

The equation of the line is

y = -0.95x + 77.45

After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.

y = -0.95(47) + 77.45

y = -44.65 + 77.45

y = 32.8 miles

3 0
3 years ago
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