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lord [1]
3 years ago
14

Suppose C = 30y + 15 and y = 40x + 25.

Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0

Answer:

C = 1200x + 450

Step-by-step explanation:

C = 30y + 15... (1)

y = 40x + 25... (2)

Substituting y = 40x + 25 in equation (1)

C = 30(40x + 25) + 15

C = 30*40x + 30*15

C = 1200x + 450

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Solve the system of linear equations.
sweet-ann [11.9K]

Answer:

  • dependent system
  • x = 2 -a
  • y = 1 +a
  • z = a

Step-by-step explanation:

Let's solve this by eliminating z, then we'll go from there.

Add 6 times the second equation to the first.

  (3x -3y +6z) +6(x +2y -z) = (3) +6(4)

  9x +9y = 27 . . . simplify

  x + y = 3 . . . . . . divide by 9 [eq4]

Add 13 times the second equation to the third.

  (5x -8y +13z) +13(x +2y -z) = (2) +13(4)

  18x +18y = 54

  x + y = 3 . . . . . . divide by 18 [eq5]

Equations [eq4] and [eq5] are identical. This tells us the system is dependent, and has an infinite number of solutions. We can find them in terms of z:

  y = 3 -x . . . . solve eq5 for y

  x +2(3 -x) -z = 4 . . . . substitute into the second equation

  -x +6 -z = 4

  x = 2 - z . . . . . . add x-4

  y = 3 -(2 -z)

  y = z +1

So far, we have written the solutions in terms of z. If we use the parameter "a", we can write the solutions as ...

  x = 2 -a

  y = 1 +a

  z = a

_____

<em>Check</em>

First equation:

  3(2-a) -3(a+1) +6a = 3

  6 -3a -3a -3 +6a = 3 . . . true

Second equation:

  (2-a) +2(a+1) -a = 4

  2 -a +2a +2 -a = 4 . . . true

Third equation:

  5(2-a) -8(a+1) +13a = 2

  10 -5a -8a -8 +13a = 2 . . . true

Our solution checks algebraically.

6 0
3 years ago
60 mi. = _______________ km
harina [27]

Answer:

96.5606

Step-by-step explanation:

I hope this helps :)

7 0
3 years ago
Read 2 more answers
The Eiffel Tower is about 301 meters tall. Cooper is making a scale model of it using the scale 750 meters : 1 meter.
vaieri [72.5K]
Hi im doing this test right now and what is the answer lol

7 0
3 years ago
What is the answer to this question
Crank
The answer is “c” because the 6% of 5300 is 318 which they gain each year so multiply. 318 x 18 = 5724 + 5300 that they already have is equal to 11,024
4 0
2 years ago
EVALUATE <br> (-10)²<br> PLEASE SHOW UR WORK THXS
Natalka [10]
The answer is either: (im making you choose)

-100
or
100

You multiply -10 by itself to get the correct answer
Dont forget about the signs     
3 0
3 years ago
Read 2 more answers
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