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alina1380 [7]
2 years ago
10

Kate made tables of values to solve a system of equations. First she found that the x-value of the solutionwas between 0 and 1,

and then she found it was between 0.5 and 1. Next, she made this table.
Which ordered pair is the best approximation of the solution?

A. (0.8, 2.1)
B. (0.9, 1.8)
C. (0.7, 1.9)
D. (0.6, 1.3)

Mathematics
1 answer:
Blizzard [7]2 years ago
4 0

Answer:

  D. (0.6, 1.3)

Step-by-step explanation:

The difference between y-values is smallest for x=0.6. The approximate y-value is reasonably chosen as the average of the y-values for that value of x.

  (x, y) = (0.6, 1.3) is a reasonable approximation

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Answer:

g(f(3))=-2

Step-by-step explanation:

So we have the two functions:

g(x)=4x+2\text{ and } f(x)=3x-10

And we want to find g(f(3)).

So, let's find f(3) first:

f(3)=3(3)-10

Multiply:

f(3)=9-10

Subtract:

f(3)=-1

Therefore, we can substitute -1 for f(3):

g(f(3))=g(-1)

Now, find g(-1):

g(-1)=4(-1)+2

Multiply:

g(-1)=-4+2

Add:

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And we're done!

So:

g(f(3))=-2

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