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Alex17521 [72]
3 years ago
11

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k = ____

Mathematics
2 answers:
Brrunno [24]3 years ago
5 0
We notice that f(0)=2. Also, we can see that g(0)=5 from the graph.

Since g(x) = f(x) + k for all x, then for x=0 we have:

g(0) = f(0) + k, that is 5=2+k, which yields k=3.


Answer: k=3




mezya [45]3 years ago
3 0

Answer:

k=3

Step-by-step explanation:

Given f(x) and g(x) = f(x) + k

We have to look at the graph and determine the value of k.

as we can clearly see in the graph that:

f(0)=2 and g(0)=5

Hence, it must satisfy the equation

i.e. g(0)=f(0)+k

     5=2+k

Hence, k=3

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8 0
3 years ago
Two planes start from the same point and fly in opposite directions. The first plane is flying 60 mph slower than the second pla
Naddik [55]

Answer:

The first plane is moving at 295 mph and the second plane is moving at 355mph.

Step-by-step explanation:

In order to find the speed of each plane we first need to know the relative speed between them, since they are flying in oposite directions their relative speed is the sum of their individual speeds. In this case the speed of the first plane will be "x" and the second plane will be "y". So we have:

x = y - 60

relative speed = x + y = (y - 60) + y = 2*y - 60

We can now apply the formula for average speed in order to solve for "y", we have:

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In this case the average speed is equal to their relative speed, so we have:

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2*y = 650 + 60

2*y = 710

y = 710/2 = 355 mph

We can now solve for "x", we have:

x = 355 - 60 = 295 mph

The first plane is moving at 295 mph and the second plane is moving at 355mph.

5 0
3 years ago
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Alenkasestr [34]
6x-42=4x
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3 years ago
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Answer:

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Answer:

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