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artcher [175]
2 years ago
7

Sara wants to find the input value that produces the same output for the functions represented by the tables.

Mathematics
1 answer:
Naya [18.7K]2 years ago
3 0

The input value that produces the same output value in both charts is 2. so the correct answer is option D.

<h3>What is a function?</h3>

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

You are given two functions  f (x) = -0.5X +2 and g(x) = 2x - 3

x      f(x)

-3     3.5

-2     3

-1     2.5

0     2

1      1.5

2     1

3     0.5

The second table is given below:-

x      g(x)

-3      

-2      

-1      

0    

1      

2      

3      

We will put the points and will find the value of functions:-

g(-3) = 2(-3) - 3 = -6 -3 = -9

g(-2) = 2 -(-2) -3 = -7

g(-1) = 2( -1) -3 = -3

g(0) = 2 - 0  - 3 = -3

g(1) = 2.1 - 3 = -1

g(2) = 2.2 -3 = 1

g(3) = 2.3 -3 = 3

Hence the second table will be

x      g(x)

-3      -9

-2      -7

-1       -5

0       -3

1        -1

2       1

3       3

The input value that produces the same output value in both charts is 2.

To know more about function follow

brainly.com/question/25638609

#SPJ1

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Calculate the total to be repaid on a loan of $4600.00 for 18 months at a<br>rate of 5%.​
alekssr [168]

Answer:

$4945

Step-by-step explanation:

the interest on the loan can be found by using this formula:

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I = 4600(.05)(1.5)

I = 345

Total Amount = Principal plus Interest

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4 lines

Step-by-step explanation:

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5 0
3 years ago
suppose that a department contains 11 men and 17 women. how many different committees of 6 members are possible if the committee
slega [8]

If a department has 11 male employees and 17 female employees, then 198968 different committees of 6 members are possible with the condition that the committee has strictly more female employees than male.

As per the question statement, a department has 11 male employees and 17 female employees.

We re required to calculate the total number different committees that can be formed with 6 members strictly having more female employees than male.

Now for committee of 6 members to have more women than men, there can be two combinations:

(4 women and 2 men)

Or, (5 Women and 1 man).

That is, we will need to calculate the number of combinations we can have by selecting 4 female employees from a group of 17 and 2 Male employees from a group of 11 and the number of combinations we can have by selecting 5 female employees from a group of 17 and 1 Male employee from a group of 11 and add up the two number of combinations to obtain our required answer.

Then comes the most important thing to know to be able to solve this question, i.e., the formula to calculate combinations, which goes as

nCr=\frac{n!}{r!(n-r)!}

Therefore, the total number different committees that can be formed with 6 members strictly having more female employees than male is

[(17C4)*(11C2)+(17C5)*(11C1)]\\=[(2380*55)+(6188*11)]\\=(130900+68068)\\=198968

  • combination(s): In mathematics, a combination is a way of selecting items from a collection or set, where the order of selection does not matter, i.e., for example, we have a set of three numbers X, Y and Z and then, in how many ways can we select two numbers from each set, is defined by combination.

To learn more about Combinations, click on the link below.brainly.com/question/8044761

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7 0
2 years ago
Find the measure of angle <br> Angle 1 is congruent to Angle 2
Mrrafil [7]

Answer:

angle 1 = angle 2 = 17 degrees

3 0
3 years ago
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