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kvasek [131]
2 years ago
6

The production cost, represented by y, of smart phone devices are equal to the product of computing components (a) and the squar

e of the number of devices (x), added to the produ of labour (b) and number of devices (x)after which savings on reusable material (c) are subtracted. 2.1 Write down an equation to represent the production cost (y) in terms of a. x, b and c. 2.2 Change the subject of the equation/formula in 2.1 to: 2.2.1 a= 2.2.2 b = 2.2.3 = 2.3 Determine the production cost of 7 devices, if labour amounts to R4 140, computin components cost is R 1 035 and the savings on reusable material is R 1 725.​
Mathematics
2 answers:
abruzzese [7]2 years ago
5 0

Answer:

2.1 y= ax^2 + bx -c

2.2

2.2.1 a= (y+c-bxz)/x^2

2.2.2 b= (y+c-ax^2)/x

2.2.3 c= ax^2+bx-y

2.2.4 R 77690

Step-by-step explanation:

You are told that the production cost y = computing concepts(a) * number of devices(x) squared + product of labour (b)* number of devices - savings on reusable material (c)

Thus 2.1 y= ax^2 +bx-c

For 2.2 Just solve for the correct variable using our function y, hence we solved for a, b, and c in terms of y.

2.3 x=7, a=R1035, b=R4140, c=R1725

From 2.1 y= ax^2 + bx -c

Substitute the following to our function y

y= (R1035)(7)^2 + (R4140)(7)- R1725

=R77 690

Marta_Voda [28]2 years ago
3 0

The production cost is an illustration of a quadratic function

<h3>How to determine the equation</h3>

We have the following parameters:

  • Computing components (a)
  • Number of devices (x),
  • Labor (b)
  • Savings on reusable material (c)

Using the instructions in the question, the equation of the production cost would be:

y =ax^2 + bx -c

Hence, the production cost is y =ax^2 + bx -c

<h3>Change the subject of the equation</h3>

In (a), we have:

y =ax^2 + bx -c

Subtract bx - c from both sides

y - bx + c = ax^2

Divide through by x^2

a = \frac{y - bx + c}{x^2}

Hence, the equation that represents the computing component is a = \frac{y - bx + c}{x^2}

Read more about equations and functions at:

brainly.com/question/1214333

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The sum of three numbers 13. The sum of twice the first number, five times the second number, and six times the third number is
Kruka [31]

Answer:

The three numbers are 56/5, -39/5 and 78/5.

Step-by-step explanation:

EQUATION 1:

First number: x

Second number: y

Third number: z

x + y + z = 19

EQUATION 2:

Sum of following is 77

Twice the first number: 2x

5 times the second number: 5y

6 times the third number: 6z

So, 2x + 5y + 6z = 77

EQUATION 3:

Difference between first and second number is 19.

x - y = 19

Equation 1: x + y + z = 19

Equation 2: 2x + 5y + 6z = 77

Equation 3: x - y = 19

1. Find x in terms of y

x - y = 19

x = 19 + y

2. Find y in terms of z by putting the value of x in first and second equation

  x + y + z = 19

  (19 + y)+ y + z = 19

  2y + z = 19 - 19

  2y + z = 0

  y = -z/2

and

2(19+y)+5y+6z=77

now putting the value of y in this equation

2(19-z/2)+5(-z/2)+6z=77

38 - z -5z/2 +6z = 77

5z/2 + 38 = 77

5z/2 = 39

z = 78/5

Now, y = -z/2

y = (-78/5)/2

y = -39/5

and  x = 19 + y

x = 19 - 39/5

x = 56/5

Therefore, the three numbers are 56/5, -39/5 and 78/5.

Keyword: Sum

Learn more about sum at

brainly.com/question/10666510

brainly.com/question/4034547

#LearnwithBrainly

7 0
2 years ago
Read 2 more answers
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