Factorise 2x^2+3x-2​

Answers

Answer 1

Answer:

(x+2)(2x-1)

Step-by-step explanation:

I used a little guess and check for this so bear with me :P

The final answer would always have to be two brackets with x and the relevant variables.

2x²: You know the possible factors that can be multiplied together would be 2x and x. Each factor would have to be in different brackets, so we get (x + smth else)(2x +smth else)

When factorising quadratic expressions, you need to find the correct pair of factors, that when multiplied together, becomes (-2). They also need to become 3x when they are multiplied with the term in the bracket (either x or 2x) and then added together.

Possible factors:

1. 1 × (-2) = (-2)

2. -1 × 2 = (-2)

Assume (x+1)(2x-2) = 2x² -2x +2x -2

                               = 2x² +0 - 2 (Wrong)

Assume (x-2)(2x+1) = 2x² +x -4x -2

                               = 2x² -3x -2 (Wrong)

Assume (x-1)(2x+2) = 2x² +2x -2x -2

                               = 2x² +0 - 2 (Wrong)

Assume (x+2)(2x-1) = 2x² -x +4x -2

                               = 2x² +3x -2 (Correct!)

Thus, (x+2)(2x-1) is the answer.

Answer 2

QUESTION:

Factorise 2x^2+3x-2

ANSWER:

[tex]\green{{(x + 2) × (2x - 1)}}[/tex]

STEP-BY-STEP EXPLANATION:

Write [tex]{3x}[/tex] as a diffrence

2x² + [tex]\red{{3x}}[/tex] - 2

2x² + [tex]\red{{4x - x}}[/tex] - 2

Factor out [tex]{2x}[/tex] from the expression

[tex]\red{{2x² + 4x}}[/tex] - x - 2

[tex]\red{{2x×(x + 2)}}[/tex] - x - 2

Factor out the negative sign from the expression

2x² + 4x - [tex]\red{{x - 2}}[/tex]

2x × (x + 2) - [tex]\red{{(x + 4)}}[/tex]

Factor out [tex]{x + 2}[/tex] from the expression

[tex]\red{{2x× (x + 2) - (x + 2}}[/tex]

[tex]\green{\boxed{(x + 2) × (2x - 1)}}[/tex]

hope it's helps


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Answer:

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Step-by-step explanation:

1/3 gallons of apple juice for $2.44 how much per gallon

Answers

The cost of 1 gallon of apple juice is, $7.32.

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To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The cost of 1/3 gallons of apple juice for $2.44.

Hence, The cost of 1 gallon of apple juice is,

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⇒ $7.32

Thus, The cost of 1 gallon of apple juice is, $7.32.

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https://brainly.com/question/10873737

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Answer:

k

Step-by-step explanation:

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Find cos(2O)

Answers

Answer:

[tex]\displaystyle \cos 2\theta=-\frac{7}{9}[/tex]

Step-by-step explanation:

Cosine Double Angle

Given the cosine of an angle θ, the cosine of 2θ is given by the formula:

[tex]\cos 2\theta=2\cos^2\theta-1[/tex]

Given

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Answers

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[tex]\\ \sf\longmapsto \dfrac{4.6}{33.58}[/tex]

[tex]\\ \sf\longmapsto \dfrac{46}{10}\div\dfrac{3358}{100}[/tex]

[tex]\\ \sf\longmapsto \dfrac{46}{10}\times \dfrac{100}{3358}[/tex]

[tex]\\ \sf\longmapsto \dfrac{460}{3358}[/tex]

[tex]\\ \sf\longmapsto 0.136[/tex]

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Answers

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Simplify the Expression (show work)

1. 2(5x + x)

2. -7+ 3x + 9x

Answers

Answer:

1. 12x

2. -7 + 12x

Step-by-step explanation:

1. 2(5x + x)

(multiply inside od parenthesis by outside)

10x + 2x

(add like terms)

12x

2. -7 + 3x + 9x

(add like terms)

-7 + 12x

Answer:

1. 12x

2. 12x-7

Step-by-step explanation:

1. distribute the 2 to both terms to get 10x+2x then add those together to get 12x    OR    add 5x to x to get 6x then distribute the (multiply by) 2 to get 12x

2. combine 3x and 9x to get 12x then write -7 to get 12x-7

A binder of baseball cards hold 625
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Answers

Given:

Total number of cards in the binder = 625

Each page in the binder holds 9 cards.

To find:

The number of pages in the binder that can be COMPLETELY filled.

Solution:

We know that,

[tex]\text{Number of pages filled}=\dfrac{\text{Total cards}}{\text{Cards in each page}}[/tex]

Putting the given values, we get

[tex]\text{Number of pages filled}=\dfrac{625}{9}[/tex]

[tex]\text{Number of pages filled}=69.44...[/tex]

Approximate the value to the preceding whole number to get the number of pages in the binder that can be COMPLETELY filled.

[tex]\text{Number of pages filled}=69[/tex]

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Answers

Answer:

Step-by-step explanation:

if 124.50 represents  100%

how much x  represents 6% ?

cross multiply

x= 124.50*6/100= 7.47

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Answer:

The answer is 7.47

Step-by-step explanation: Hope this helped

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Answer:

Step-by-step explanation:

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Answer:

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A bank is going to hire 5 new employees. There are 12 applicants. Which ratio
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O 12/17
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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

1300

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

75 * (1 + .2/12)^10 * 12

75 * (1.016667)^10*12

Now things get a little tricky. What does 10*12 mean? I'm taking it to mean 120

75 * (1.016667)^120

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545.119

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Answers

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Answers

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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