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Bezzdna [24]
3 years ago
14

Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.

Mathematics
1 answer:
lianna [129]3 years ago
6 0

Answer:

{2, 6, 14}

Step-by-step explanation:

Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.

To get the range, we will substitute the values of the domain into the given function as shown;

when x = -1

f(-1) = 4(-1)+6

f(-1) = -4+6

f(-1) = 2

when x = 0

f(0) = 4(0)+6

f(0) = 0+6

f(0) = 6

when x = 2

f(2) = 4(2)+6

f(2) = 8+6

f(2) = 14

Hence the required range are {2, 6, 14}

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the rectangle shown has a perimeter of 56 cm and the given area. it's length is 8 more than three times it's width. write and so
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\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~

Now, Perimeter of rectangle is :

\qquad \sf  \dashrightarrow \:2(l + w)  = 56

\qquad \sf  \dashrightarrow \:2(3x + 8 + x)  = 56

\qquad \sf  \dashrightarrow \:2(4x + 8)  = 56

\qquad \sf  \dashrightarrow \:4x + 8  = 56 \div 2

\qquad \sf  \dashrightarrow \:4x + 8  = 28

\qquad \sf  \dashrightarrow \:4x  = 28 - 8

\qquad \sf  \dashrightarrow \:x = 20\div 4

\qquad \sf  \dashrightarrow \:x =5 \: cm

Hence, width = x = 5 cm

\qquad \sf  \dashrightarrow \:l = 3w + 8

\qquad \sf  \dashrightarrow \:l = 3(5)+ 8

\qquad \sf  \dashrightarrow \:l = 15+ 8

\qquad \sf  \dashrightarrow \:l =23 \:cm

And, length = 26 cm

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5 0
3 years ago
Jason is considering two different jobs that he has been offered and he likes the atmosphere and
aniked [119]

The amount of money that Jason will receive in one year after all deductions have been taken for each company is $30,780.5 and $32562.

<h3>What is the final amount?</h3>

With the first job, he would be an apartment property manager for AMLI Company.

This job is offering Jason an hourly rate of $19. 00 an hour plus a weekly bonus of $40 for each new tenant he sets a one-year lease-up with.

The company expects Jason to work all 52 weeks of the year and 40 hours per week.

He was told he could expect to set up an average of 5 lease agreements for each week that he works.

The amount after one year will be given by an equation

Let y be the amount, x be the number of hours in a week and z be the number of the week.

y = 19x + 40z

The total number of hours in a year will be

x = 2080

Then

y = 19 × 2080 + 40 × 52

y = $ 41,600

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 41,600 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 32,160.5

The amount after the insurance will be

Amount = 32160.5 - 115 × 12

Amount = $ 30780.5

With the second job, he would work as a water treatment facility manager in Gwinnett County. He would be paid an annual salary of $46,000 a year, there are no bonuses and he gets a week off.

The amount after the deduction of Social Security (6. 2%), Medicare (1. 2%), State Income Tax (3%), and Federal Income Tax (14%) will be

→ 46,000 × 0.938 × 0.988 × 0.97 × 0.86

→ $ 35,562

The amount after the insurance will be

Let the number of the worker be 10. Then

Amount = 35,562 - 10 × 12 × 25

Amount = 35562 - 3000

Amount = $32562

More about the final amount link is given below.

brainly.com/question/1980454

#SPJ1

5 0
1 year ago
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