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IgorLugansk [536]
3 years ago
14

Does Anyone know the answer or have the link to this question?

Mathematics
1 answer:
notsponge [240]3 years ago
8 0

Answer:

Option A) x3 + x2y,+ 3xy - 2xy2 + 6y2

Step-by-step explanation:

Lets try to solve it by applying distributive property, this is, multiplying term by term:

(x + 2y)(x2 - xy + 3y) = x*x^2 + x*(-xy) +x*3y + 2y*x2 + 2y*(-xy) +2y*3y

Operating with the terms:

(x + 2y)(x2 - xy + 3y) = x3 - (x^2)y + 3xy + 2y(x^2) - 2x(y^2) + 6(y^2)

This is equal to option A.

Another way of noticing this was the correct answer is that A is the only one with a term of x3, with was evident to be here as we have x multiplying x3.

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State a conclusion that seems reasonable. 6 + 0 = 6, 8 + 0 = 8, 9 + 0 = 9, 100 + 0 = 100.
Viktor [21]

Answer:

Whatever number added to 0 remains the same.

Step-by-step explanation:

When you add a number to 0, the number itself doesn't change at all because there isn't anything in 0. So any number that is added to 0 doesn't change at all.

5 0
3 years ago
A lake was stocked with 360 trout. Each year, the population decreases by 10. The population of trout in
almond37 [142]

Answer:

Part A) The y-intercept is the point (0,360) and the x-intercept is the point (36,0)

Part B) The graph in the attached figure

Part C) see the explanation

Step-by-step explanation:

Part A) Find the intercepts

Let

x ----> the number of years

f(x) ----> the population of trout in the lake

we have

f(x)=360-10x

This is a linear function in slope intercept form

f(x)=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

m=-10\ \frac{trout}{year} ---> is negative because is a decreasing function

b=360\ trouts ---> initial value

The y-intercept is the point (0,360)

<em>Find the x-intercept</em>

The x-intercept is the value of x when the value of f(x) is equal to zero

so

For f(x)=0

0=360-10x

Solve for x

10x=360\\x=36

The x-intercept is the point (36,0)

Part B) Graph the function

Plot the intercepts and join the points to graph the line

see the attached figure

Part C) Complete the interpretation of the  intercepts

The x-intercept is the value of x when the value of f(x) is equal to zero

In this context, the x-intercept is the number of years, when the population of trouts is equal to zero

so

In 36 years, the population of trouts will be equal to zero

The y-intercept is the value of f(x) when the value of x is equal to zero

In this context, the y-intercept is the population of trouts when the number of years is equal to zero

so

Initially the population of trouts in the lake was 360 trouts

5 0
4 years ago
A train leaves little rock Arkansas, travels north at 85 kilometers per hour. another train leaves same time and travels south a
iragen [17]

Hi,

Let us denote first train with T₁, its distance d₁, its speed v₁ = 85 km/h.

Similarly, second train would be with T₂, its distance d₂, its speed v₂ = 80 km/h. Also, let d be total distance, d = 495 km.

Given being the fact that train T₁ travels north, and train T₂ travels south, their path is on a straight vertical line. Please create a simple drawing, you will see the vertical line immediately.

Then, we need to find the time t, when d₁ + d₂ = d = 495 km (1)

Each speed v₁, and v₂ is constant, therefore we apply very well known formula:

d₁ = v₁·t, and d₂ = v₂·t (2).

From (1) and (2) we have:

v₁·t + v₂·t = d, or (v₁ + v₂)t = d ⇒ t = d/(v₁ + v₂) = 495/(80 + 85) = 495/165 = 3 hours.

So, it takes 3 hours to have those 2 trains 495 km apart.

Green eyes.

6 0
3 years ago
Monica worked 3.5 hours and is paid $10 per hour. How much did she make in 3.5 hours?
marysya [2.9K]

Answer:

She would make $35.

Step-by-step explanation:

If you do 10 x 3.5, you will get the answer of $35.

7 0
3 years ago
Read 2 more answers
A $60 shirt is on sale for 30% off. How much is the shirt's sale price?
vlada-n [284]

Answer:39?

Step-by-step explanation:

4 0
3 years ago
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