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3 years ago

2x^3 + x^2 – 7x – 6 divided by 2x +3

Mathematics

1 answer:

nevsk [136]3 years ago

6 0

Answer:

x^2 -x -2

Step-by-step explanation:

Use polynomial long division.

0 + x^2 -x -2

___________________________________

(2x+3) | 2x^3 +x^2 -7x -6

-2x^3 -3x^2

_________

-2x^2 -7x

+2x^2 +3x

__________

-4x -6

+2x +6

_______

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24 is 40% of what number

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3 years ago

Each container has a base of 4 1/4 yds by 1 2/3 yds. What is the area covered by all the containers?

svet-max [94.6K]

Answer:

See Explanation

Step-by-step explanation:

Given

Base Dimension

$Length = 4\frac{1}{4}yd$

$Width = 1\frac{2}{3}yd$

Required

The base area of all containers

First, calculate the base area of 1 container.

This is calculated as:

$Area = Length * Width$

$Area = 4\frac{1}{4}yd * 1\frac{2}{3}yd$

Express as improper fraction

$Area = \frac{17}{4}yd * \frac{5}{3}yd$

So, we have:

$Area = \frac{17*5}{4*3}yd^2$

$Area = \frac{85}{12}yd^2$

The number of containers is not given. So, I will use 'n' as the number of containers.

So, we have:

$Total = n * Area$

$Total= n * \frac{85}{12}yd^2$

--------------------------------------------------------------------------------------------

Assume n is 3 (i.e. 3 containers)

The total area is:

$Total= 3 * \frac{85}{12}yd^2$

$Total= \frac{85}{4}yd^2$

$Total= 21\frac{1}{4}yd^2$

--------------------------------------------------------------------------------------------

6 0

3 years ago

Evaluate 7r-15/8 when r=3 and 8=5

Natali [406]

Answer:

Step-by-step explanation:

multiply 7 and 3

reduce 15/5 to 3

subtract 21-3

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3 years ago

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Please help! Correct answer only, please!

MAXImum [283]

Answer:

Step-by-step explanation:

If two square matrix, with same dimensions, are inverse of one another, their product will always be the identity matrix with the same dimensions.

The matrix A and B are 2x2, so the result of the product A * B is a 2x2 identity matrix, that is represented as follows:

I = [1 0 ; 0 1]

(First line: 1 0, second line: 0 1)

So the correct option is B)

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4 years ago