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alexira [117]
2 years ago
12

Factorize x2 + 7x + 12 using middle term break method.

Mathematics
1 answer:
Vsevolod [243]2 years ago
6 0

Answer:

(x + 4)(x + 3)

Step-by-step explanation:

x^2 + 7x + 12

In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.

so we need two number that gives 12 when multiplied and 7 when added

4 and 3 are the numbers because 4*3 = 12 and 4+3 = 12

=x^2 + (4 + 3)x + 12

=x^2 + 4x + 3x + 12

=x(x + 4) + 3(x + 4)

take (x + 4) as common

=(x + 4) (x*1 + 3*1)

=(x + 4)(x + 3)

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Which number is greatest?​
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Answer:

6.23 \times 10 {}^{12}

Step-by-step explanation:

6 .23\times 10 {}^{12}

6.23 \times 1000000000000 \\ 6230000000000

7 0
3 years ago
Read 2 more answers
There are 3 types of gummy bears:
mr Goodwill [35]

Using proportions, it is found that it takes 886 more mini-bears than regular-bears to have the same weight as one super-bear.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

10 mini-bears weights to 12.1 grams, hence the weight of a mini-bear is of:

12.1/10 = 1.21 grams.

10 regular bears weights to 23.1 grams, hence the weight of a regular bear is of:

23.1/10 = 2.31 grams.

1 super bear weights to 2250 grams, hence the proportion between the <u>weight of a super bear and the weight of a mini-bear</u> is:

2250/1.21 = 1860.

The proportion between the <u>weight of a super bear and the weight of a regular bear</u> is:

2250/2.31 = 974.

The difference of proportions is given by:

1860 - 974 = 886.

It takes 886 more mini-bears than regular-bears to have the same weight as one super-bear.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0
10 months ago
It's urgent please help
Alchen [17]

Answer:

14y=mxc I'm I right kwkbs

7 0
2 years ago
What is the midpoint of the segment below?
In-s [12.5K]

Answer:

Your answer is A.(7,3)

7 0
2 years ago
Use row operations to solve the system.
Aleks04 [339]

Answer:

x = 2, y = 7, z = 12

Step-by-step explanation:

x + y - z = -3 (1)

3x - y + z = 11 (2)

x - 4y + z = -14 (3)

add (1) and (2)

4x = 8 x = 2

add (1) and (3)

2x - 3y = -17

2(2) - 3y = -17

-3y = -17 - 4

-3y = -21

y = 7

Find z using any equation

x + y - z = -3

2 + 7 - z = -3

9 - z = -3

z = 12

3 0
3 years ago
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