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faltersainse [42]
3 years ago
11

Help...Make sure you're correct.

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
5 0

Answer:

Linear function

Step-by-step explanation:

x          y              Ist difference          

-6      -27                    -                

-5      -21              -21 - (-27) = 6                    

-4      -15              -15 - (-21) = 6                

-3       -9               -9 - (-15) = 6

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

Since, Ist difference is common in the given table,

(Common difference = 6)

It's a linear function.

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The perimeter of a rectangular garden is 36 1/2 feet. One side of the garden is 9 feet long. What is the area, in square feet, o
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Answer:

83 1/4 sq ft

Step-by-step explanation:

let x = length or width of two identical unknown sides

2(9) + 2x = 36 1/2

18 + 2x = 36 1/2

2x = 18 1/2

x = 37/2 ÷ 2 = 37/4 or 9 1/4

therefore, multiply 9 by 9 1/4

Area is:  9/1 x 37/4 = 333/4 = 83 1/4

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Pre-Calculus - Systems of Equations with 3 Variables please show work/steps
inessss [21]

Answer:

x = 10 , y = -7 , z = 1

Step-by-step explanation:

Solve the following system:

{x - 3 z = 7 | (equation 1)

2 x + y - 2 z = 11 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Swap equation 1 with equation 2:

{2 x + y - 2 z = 11 | (equation 1)

x + 0 y - 3 z = 7 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y/2 - 2 z = 3/2 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Multiply equation 2 by 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

-x - 2 y + 9 z = 13 | (equation 3)

Add 1/2 × (equation 1) to equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

0 x - (3 y)/2 + 8 z = 37/2 | (equation 3)

Multiply equation 3 by 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - y - 4 z = 3 | (equation 2)

0 x - 3 y + 16 z = 37 | (equation 3)

Swap equation 2 with equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x - y - 4 z = 3 | (equation 3)

Subtract 1/3 × (equation 2) from equation 3:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x+0 y - (28 z)/3 = (-28)/3 | (equation 3)

Multiply equation 3 by -3/28:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y + 16 z = 37 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract 16 × (equation 3) from equation 2:

{2 x + y - 2 z = 11 | (equation 1)

0 x - 3 y+0 z = 21 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 2 by -3:

{2 x + y - 2 z = 11 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Subtract equation 2 from equation 1:

{2 x + 0 y - 2 z = 18 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Add 2 × (equation 3) to equation 1:

{2 x+0 y+0 z = 20 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Divide equation 1 by 2:

{x+0 y+0 z = 10 | (equation 1)

0 x+y+0 z = -7 | (equation 2)

0 x+0 y+z = 1 | (equation 3)

Collect results:

Answer: {x = 10 , y = -7 , z = 1

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Step-by-step explanation:

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<h3>Answer:  $1067.45</h3>

=================================================

Work Shown:

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r = 0.06725  = annual interest rate in decimal form

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i = 0.005604167 = approximate monthly interest rate in decimal form

n = number of months = 30*12 = 360 months

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Apply the monthly payment formula

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P = 1067.44636311118

P = 1067.45

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