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3 years ago

Select all of the expressions that are equivalent to x3 + 2x2 − 3x − 6

Mathematics

2 answers:

Juliette [100K]3 years ago

8 0

Answer:

Step-by-step explanation

(x^2-3)(x+2)=x^3+2x^2-3x-6

x(x^2-3)+2(x^2-3)=x^3+2x^2-3x-6

x^2(x+2)-3(x+2) =x^3+2x^2-3x-6

Lana71 [14]3 years ago

7 0

ITS THE THE FIRST ONE

(X^2 -3 )(x+2)

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Is 144 a perfect square or not

Rina8888 [55]

Answer: Yes

Step-by-step explanation: 144 is a perfect square. In other words, it's possible to find a whole number that can be multiplied by itself that gives us 144.

In this case, we multiply 12 by 12 or 12² to get 144 which means 144 is a perfect square. Also, it's on our perfect square list which I will attach below.

6 0

3 years ago

Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...

Strike441 [17]

Answer:

The 13th term is 81x + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

$\displaystle -3x -1, \, 4x +4, \, 11x + 9 \dots$

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference d. In other words:

$\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}$

Find the common difference by subtracting the first term from the second:

$d = (4x+4) - (-3x - 1)$

Distribute:

$d = (4x + 4) + (3x + 1)$

Combine like terms. Hence:

$d = 7x + 5$

The common difference is (7x + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

$\displaystyle x_n = a + d(n-1)$

Where a is the initial term and d is the common difference.

The initial term is (-3x - 1) and the common difference is (7x + 5). Hence:

$\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)$

To find the 13th term, let n = 13. Hence:

$\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)$

Simplify:

$\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}$

The 13th term is 81x + 59.

3 0

3 years ago

Point A is at (3, 2.5) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is ____. Input numbe

andriy [413]

The points have the same x-coordinate, so they lie on a horizontal line. The distance between them is the difference between their y-coordinates.

2.5 - 1.4 = 1.1

The distance between the two points is 1.1

5 0

3 years ago

Which property was used to simplify the expression?

Vadim26 [7]

Answer:

commutative property

Step-by-step explanation:

Either order or way you put the numbers, it will be the same answer.

5 0

3 years ago

25 pints

olasank [31]

Answer:

A is true and B is false.

Step-by-step explanation:

x + 6.2 ≥ 10.9

Replace x for 4.7...

4.7 + 6.2 ≥ 10.9

10. ≥ 10.9 ( So this is true!)

x - 6.2 ≤ - 5

Replace x for 4.7...

4.7 - 6.2 ≤ -5

-1.2 is not ≤ -5 (So this is false!)

8 0

3 years ago

Read 2 more answers