3x+6y=-2 15x+30y=-10find the solution to the following system of equation

Mathematics

1 answer:

Anarel [89]3 years ago

6 0

So first thing you gotta do is multiply the first equation by 5. Your first equation will be $15x+30y=-10$ .

Since these two lines are the same line, they have infinite solutions.

You might be interested in

a man made lake is stocked with 10,000 fish. This population is expected to decline by an annual rate of 15%. Predict the fish p

Rasek [7]

I got 2,500 left after 5 years.
10,000*15% = 1,500 or you could do 10,000*.15 = 1,500

That is a loss of 1,500 fish per year.
If you want to think of this as a proportion then you would do
Year/fish lost

1/1,500 = 5/x
X=5*1,500
X=7,500

The population of the fish after 5 years equals
10,000-7,500 = 2,500
So your answer is 2,500 fish are left

8 0

3 years ago

Your class is selling boxes of flowers as a fundraiser. The profit p depends on the amount x that your class charges for each bo

Korvikt [17]

Answer:

$ 22.6

Step-by-step explanation:

Given that

Price charged for each box of seeds = x

Profit gained from from selling boxes of seeds = p

The equation of profit is modeled as

P(x) = 0.5x² + 36x - 179

As per given information if the fundraisers make a profit of $379 then find the minimum price charged for each box of seed.

Now our above equation becomes

379 = -0.5x² + 36x - 179

Simplifying

379+179 = -0.5x² + 36x

558 = -0.5x² + 36x

0.5x² - 36x + 558 =0

multipying both sides of equation by 2

2(0.5x² - 36x + 558) = 2x0

x² - 72x +1116 = 0

Using quadratic formula we get the following factors

x= 49.4 or x= 22.60

As we can the smalles value is 22.6

So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.

NOTE.- just substitute values and resolve

5 0

3 years ago

Find the perimeter and area of the polygon shown below. The polygon is a trapezoid made up of a rectangle and a right triangle.

algol13

Since, the polygon is a trapezoid made up of a rectangle and a right triangle. Therefore, according to the question, the figure of the polygon is attached.

Since, perimeter is the total length of the outer boundary of the figure. Therefore,

Perimeter of the polygon is $=AB+BE+ED+DC+CA$