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alina1380 [7]
3 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]3 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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Expand and simplify 4 ( y + 6 ) − 2 ( y − 2 )
elena-14-01-66 [18.8K]

[ Answer ]

\boxed{2y \ + \ 28}

[ Explanation ]

4(y + 6) - 2(y - 2)

[Expand] 4(y + 6): 4y + 24

4y + 24 - 2(y - 2)

[Expand] -2(y - 2): -2y + 4

4y + 24 - 2y + 4

[Simplify] 4y + 24 - 2y + 4: 2y + 28

= 2y + 28

\boxed{[ \ Eclipsed \ ]}

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The average annual income I in dollars of a lawyer with an age of x years is modeled with the following function I=425x^2+45,500
natali 33 [55]
You did not include the questions, but I will give you two questions related with this same statement, and so you will learn how to work with it.

Also, you made a little (but important) typo.

The right equation for the annual income is: I = - 425x^2 + 45500 - 650000

1) Determine <span>the youngest age for which the average income of a lawyer is $450,000

=> I = 450,000 = - 425x^2 + 45,500x - 650,000

=> 425x^2 - 45,000x + 650,000 + 450,000 = 0

=> 425x^2 - 45,000x + 1,100,000 = 0

You can use the quatratic equation to solve that equation:

x = [ 45,000 +/- √ { (45,000)^2 - 4(425)(1,100,000)} ] / (2*425)

x = 38.29 and x = 67.59

So, the youngest age is 38.29 years

2) Other question is what is the maximum average annual income a layer</span> can earn.

That means you have to find the maximum for the function - 425x^2 + 45500x - 650000

As you are in college you can use derivatives to find maxima or minima.

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=> x = 45500 / 900 = 50.55

=> I = - 425 (50.55)^2 + 45500(50.55) - 650000 = 564,021. <--- maximum average annual income
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