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4 years ago

Solve the following system of equations. 3x+4y=12

Mathematics

1 answer:

Lesechka [4]4 years ago

6 0

Answer:

(0,3) is the solution set for given system.

Step-by-step explanation:

Given that:

3x+4y=12 ------- eq1

2x-3y= -9 ------- eq2

Multiplying eq1 with 2 and eq2 with 3 we get:

6x + 8y = 24 --------- eq1

6x - 9y = -27 -------- eq2

Subtracting eq2 from 1 we get:

17y = 51

Dividing both sides by 17 we get:

y = 3

Putting value of 3 in eq1 we get:

3x + 4(3) = 12

3x + 12 = 12

3x = 0

Dividing both sides by 3

x = 0

So the solution set will be: (0,3)

i hope it will help you.

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Total profit P is the difference between total revenue R and total cost C. Given the following total-revenue and total-cost fu

gavmur [86]

Answer:

The profit function is:

$P(x)=-x^2+1280x-3300$

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

$R(x)=1300x-x^2$

And the cost function is:

$C(x)=3300+20x$

Then the total profit function will be:

$P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300$

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

$\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)$

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

$\displaystyle x=-\frac{1280}{2(-1)}=640$

And the maximum profit will be:

$P(640)=-(640)^2+1280(640)-3300=406300$

5 0

3 years ago

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QUESTION 4

ANEK [815]

(2x-1)(x+4)=0

Step-by-step explanation:

A random zero property of multiplication is taken to find the solution

(2x-1)(x+4)=0

consider a=2x-1 and b=x-4 a.b=0

either a or b or both must be 0

equating both the equations

2x-1=0 or x=4=0 x-4=0

2x-1=0 x=4

2x=1

x=1/2

substitute the values of x in the main equation

[2(1/2)-1][(1/2)+4]=0

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3 years ago

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Pls help me with this question :)

natima [27]

I think it would be 4
:)

3 0

4 years ago

melinda will take 15 quizzes this semester. she would like to score a b are better on at least 90% of them. so far. she gotten a

dimaraw [331]

Answer:

i hope this helps, i got x + 5 ≤ 13 as ur equation

Step-by-step explanation:

7 0

2 years ago

What is the magnitude (size) of -5.8?

lilavasa [31]

The magnitude size of -5.8 is 5.8
magnitude size of a number is the number itself, and if it’s negative, it becomes its absolute value (in other words, you remove the subtraction sign).

3 0

3 years ago

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