All categories

4 years ago

What is the solution of the following system of equations ? y- 2x and= 6 , y - 4x =0

Mathematics

1 answer:

Sveta_85 [38]4 years ago

6 0

Answer:

x=3 and y=12

Step-by-step explanation:

$y-2x=6$ equation:1

$y-4x=0$ equation:2

Solving equation:1 for 'y' in terms of x

$y=6+2x$ equation:3

Putting 'y' in equation:2 which will make the equation of the single variable

$y-4x=0$

$6+2x-4x=0\\-2x=-6\\x=3$

Putting value of 'x' in equation:3 to find 'y'

$y=6+2x$

$y=6+2(3)\\y=6+6\\y=12$

You might be interested in

I need help what is the answer plz

dlinn [17]

Answer:

-2.25

Step-by-step explanation:

Since there are 4 ticks between 2 numbers, we do 1/4 = 0.25

Now we find the value:

-2.25

8 0

3 years ago

Ok some one ask me what 20 + 20 - 20 is said its 20 e didnt belive me i know thats the right anser

postnew [5]

Answer:

it is because 20 + 20 is 40 and then 40 - 20 = 20

6 0

3 years ago

During Samuel’s experiment, the experimental probability was 0.25. What else must be true about the experiment?

antiseptic1488 [7]

Answer:

The experimental probability of the outcome is 1/4

Step-by-step explanation:

If Samuel's experiment probability was 0.25, this depicts that the experimental probability of the outcome is 1/4, because:

1/4=0.25

It's not the theoretical probability, because Samuel's developed an experiment, it cannot be theoretical, he has experimental evidences.

5 0

3 years ago

Read 3 more answers

You operate a gaming Web site, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was

Doss [256]

Answer:

A) The linear relation between price and demand is:

$d=-550x+2750$

The revenue R is:

$R=-550x^2+2750x$

B) The profit functionP is:

$P=-550x^2+2750x-30$

C) The largest monthly profit is obtained with a log-on fee of $2.5 per month. This corresponds to a profit of $3407.5.

Step-by-step explanation:

We have a site where the number of log-ons depends on our monthly fee. A linear relation is established between the price (log-on fee) and the number of log-ons.

We have two points for this linear relationship:

At price x=3, the demand is d=1100.
At price x=2.5, the demand is d=1375.

We will model the relation:

$d=mx+b$

We can calculate the slope m as:

$m=\dfrac{\Delta d}{\Delta x}=\dfrac{d_2-d_1}{x_2-x_1}=\dfrac{1375-1100}{2.5-3}\\\\\\m=\dfrac{275}{-0.5}=-550$

Then, replacing one point in the linear equation, we can calculate the intercept b:

$d_1=mx_1+b\\\\1100=(-550)\cdot 3+b\\\\1100=-1650+b\\\\b=1100+1650=2750$

Then, the linear relation between demand and price is:

$d=-550x+2750$

The revenue R can be expressed as the multiplication of the price and the demand:

$R=x\cdot d=x(-550x+2750)=-550x^2+2750x$

If we have a fixed cost of $30 per month, the profit P is:

$P=R-FC=-550x^2+2750x-30$

We can maximize the profit by deriving the profit function and making it equal to zero.

$\dfrac{dP}{dx}=0\\\\\\\dfrac{dP}{dx}=-550(2x)+2750(1)=0\\\\\\-1100x+2750=0\\\\x=\dfrac{2750}{1100}=2.5$

This corresponds to a profit of:

$P(2.5)=-550(2.5)^2+2750(2.5)-30\\\\P(2.5)=-550\cdot 6.25+6875-30\\\\P(2.5)=-3437.5+6875-30\\\\P(2.5)=3407.5$

5 0

3 years ago

Simplify 5+4x(8-6)^2

NARA [144]

Ok Use PEMDAS Since 8 and 6 is in pharenthesis you do that first which equals 5+4x2^2 Then you do Exponents which is 2^2 that equals 4 so that means you have 5+4x4 No you multiply 4x4 which equals 16 And now add 5 That will make 21

8 0

3 years ago

Read 2 more answers