All categories

3 years ago

Can someone please help me answer this? 2x2 + x -21

Mathematics

1 answer:

Readme [11.4K]3 years ago

6 0

Answer:

(x - 3)(2x + 7)

Step-by-step explanation:

Assuming you require the expression factorised.

Given

2x² + x - 21

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 21 = - 42 and sum = + 1

The factors are - 6 and + 7

Use these factors to split the x- term

2x² - 6x + 7x - 21 ( factor the first/second and third/fourth terms )

= 2x( x - 3) + 7(x - 3) ← factor out (x - 3) from each term

= (x - 3)(2x + 7) ← in factored form

You might be interested in

2x - 3y = -5 4x – 4y = - 4 Is (2,3) a solution of the system? Choose 1 answer: А Yes B No

Black_prince [1.1K]

Answer:yes

Step-by-step explanation: it just is

7 0

3 years ago

If you buy 3 bags of apples for $90 find the total of 9 bags of apples.

Paladinen [302]

Answer:

$270

Step-by-step explanation:

3÷90= 30

30×9=270

so this is your answer $270

6 0

3 years ago

What should Jayce conclude is the distance around the largest circle on the radar screen? Use pi = 3.14.

anastassius [24]

Answer:

it would end up right in the dot hope this helped :)

Step-by-step explanation:

5 0

3 years ago

How can 65% be broken down with friendly percents to find 65% of a number?

zhannawk [14.2K]

Answer:

10%

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The National Sporting Goods Association (NSGA) conducted a survey of the ages of people that purchased athletic footwear in 2009

Sauron [17]

The sample deviation of a distribution is the square root of the variance

The average age of the distribution is 37.26
The sample standard deviation is 21.27

<h3>How to calculate the average age</h3>

Using a midpoint of 10 for the first class, and 75 for the last, we have the following frequency distribution:

<u>Age Percentage</u>

10 20

15.5 5

21 10

29.5 13

39.5 15

54.5 25

75 12

The average age is then calculated as:

$E(x) = \sum x * P(x)$

So, we have:

$E(x) =10 * 20\% + 15.5* 5\% + 21 * 10\% + 29.5*13\% + 39.5*15\% + 54.5 * 25\% + 75 *12\%$

$E(x) =37.26$

Hence, the average age of the distribution is 37.26

<h3>How to calculate the sample standard deviation</h3>

This is calculated using:

$\sigma = \sqrt{E(x^2) - E(x)^2}$

Where:

$E(x^2) =10^2 * 20\% + 15.5^2* 5\% + 21^2 * 10\% + 29.5^2*13\% + 39.5^2*15\% + 54.5^2 * 25\% + 75^2 *12\%$

Evaluate the products

$E(x^2) =1840.845$

The equation becomes

$\sigma = \sqrt{1840.845- 37.26^2}$

$\sigma = 21.27$

Hence, the sample standard deviation is 21.27

Read more about average and sample standard deviation at:

brainly.com/question/15858152

4 0

2 years ago

Can someone please help me answer this? 2x2 + x -21​

Can someone please help me answer this? 2x2 + x -21