Simplify: −3xy2(2x2y3 + 7xy2 − 5x3y2)

Help? I'd Appreciate it!

kondor19780726 [428]

Answer

y = (1/2)x - 1

Explanation

The first step is to get the gradient of the line.

The two points in the line are; (2,0) and (-2, -2).

Gradient = (-2 - 0)/(-2, - 2)

= -2/-4

= 1/2

To get the function we use one of the point (2,0) and a general point (x,y).

1/2 = (y - 0)/(x - 2)

1/2 = y/(x - 2)

(x - 2) = 2y

2y = x - 2

y = (1/2)x - 1

8 0

3 years ago

Find the quotient and remainder for 52÷8

Vitek1552 [10]

8 x 6 = 48
52 - 48 = 4

so
52÷8 = 6 4/8

answer
quotient = 6
remainder = 4

7 0

3 years ago

Read 2 more answers

Which equation represents the transformed function below?

Marta_Voda [28]

If we know the concepts of transformations and horizontal translation and that f(x) = √x and k = - 2, then the transformed function is g(x) = √(x + 2).

<h3>How to determine the transformed function in terms of its parent function</h3>

The transformation of functions are operations which modify the relationship between input and outputs in a function. The parent function represents a canonical square root function and the transformed function is the consequence of applying a horizontal translation.

This kind of transformation is defined by the following expression:

g(x) = f(x - k) (1)

Where k represents a rightward translation for k > 0.

If we know that f(x) = √x and k = - 2, then the transformed function is g(x) = √(x + 2).

To learn more on transformations: brainly.com/question/11709244

#SPJ1

5 0

2 years ago

Need some help with this one.

Damm [24]

Answer:

C. 3 cans

Step-by-step explanation:

9 1/9 times 3 is 27.33 and if one can cover 10 square meters then that means you'll need 3 cans.

5 0

3 years ago

Arif's backyard is 24 by 37 meters. He wants to put a flower garden in the middle of the backyard, leaving a strip of grass of

Tpy6a [65]

Answer:

Length of the flower garden = 29 meters

Width of the flower garden = 16 meters

Step-by-step explanation:

I have also attached a diagram for your convenience

Now First let us see the data we are given with:

Arif's backyard length = 37 meters

Arif's backyard Width = 24 meters

Area that should be left with grass = 424 m^2

Now lets suppose the width of the stirp of grass be "a"

According the image the area of backyard will be:

Area ABCD = 24 x 37

Area ABCD = 888 m^2

The length LM will be = (37 -2a)

The Width LO will be = (24 -2a)

Area LMNO = (37 -2a) x (24 -2a)

Area LMNO = 888 -74a -48a +4a^2

Area LMNO = 4a^2 -122a + 888

Now in order the to calculate the area of the grass strip we must subtract the area LMNO from the total area ABCD and we already know that the areas the area of grass strip should be 424 m^2

hence, A = Area ABCD - Area LMNO

424 = 888 - (4a^2 -122a + 888)

424 = 888 - 4a^2 +122a - 888

424 = -4a^2 +122a

4a^2 -122a +424=0

(We can solve this quadratic equation by breaking the middle term method)

2(2x-53)(x-4) = 0

2(2x-53) = 0

2x -53 = 0

x = 53/2

x = 26.5 (Not Possible)

x-4 = 0

x = 4

Length of the flower garden = 37 -2(4)

Length of the flower garden = 29 meters

Width of the flower garden = 24 -2(4)

Width of the flower garden = 16 meters

4 0

3 years ago