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gregori [183]
3 years ago
13

What is the product of (3x + 1)(3x – 4)? Step by step.

Mathematics
2 answers:
gtnhenbr [62]3 years ago
8 0

Answer:

9x^2 - 9x - 4

Step-by-step explanation:

(3x + 1)(3x – 4)

Here you can use the FOIL method (FOIL stands for: First, Outer, Inner and Last)

First you multiply 3x by 3x since these are the <em>First</em> inside both binomials.

3x * 3x = 9x^2

Then you multiply 3x by -4 since these are the <em>Outer</em> inside both binomials.

3x * -4 = -12x

Then you multiply 1 by 3x since these are the <em>Inner</em> inside both binomials.

1 * 3x = 3x

Then you multiply 1 by -4 since these are the <em>Outer</em> inside both binomials.

1 * -4 = -4

And finally add everything together:

9x^2 + (-12x) + 3x + (-4)

Since adding a negative number is the same as subtracting it:

9x^2 - 12x + 3x - 4

We can now simplify this a little by adding all the x's together:

9x^2 - (12x + 3x) - 4 =

9x^2 - 9x - 4

Hope I could help you understand!

If you still wonder anything, don't hesitate to ask in the comments below!

Have a wonderful day! (●'◡'●)

kvasek [131]3 years ago
7 0

Answer:

9x^2-9x-3

Step-by-step explanation:

3x*3x=9x^2

3x*-4=-12x

1*3x=3x

1*-4=-3

9x^2-12x+3x-3

9x^2-9x-3

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Solve.
bixtya [17]

Answer:

-3 ± 2\sqrt{3} = x

Step-by-step explanation:

x² + 6x + 9 = 12 → x² + 6x - 3

Since this Quadratic Expression is unfactorable, apply the <em>Quadratic</em><em> </em><em>Formula</em>:

x = -b ± \frac{\sqrt{{b}^{2} - 4ac}}{2a}

-6 ± \frac{\sqrt{{6}^{2} - 4(1)(-3)}}{2(1)} =   -6 ± \frac{\sqrt{36 + 12}}{2} = -6 ± \frac{\sqrt{48}}{2} \\ \\ -3 ± 2\sqrt{3}

√48 = √[3 × 16] = 4√3

½[4√3] = 2√3

Then attach half of -6 to it as well [-3]:

-3 ± 2√3

I am joyous to assist you anytime.

7 0
3 years ago
Identify whether each question is a statistical question and the reason why or why not.
madam [21]

1. The question about the weight of the football team players is statistical because it requires data collection to answer it and the data is variable.

2. The question about the height of Ben's mother is <u>non-statistical</u> because it does not require data collection to answer and the data is not variable, since it is one data point.

<h3>What is a statistical question?</h3>

A statistical question can be answered by collecting data and for which data will vary.

Questions answered with a single data point are <u>not statistical</u> because there is no data variability to answer them.

A statistical question can be determined by the following criteria:

  • Provides useful data about a group of people.
  • Many people can answer it.
  • There will be many different answers.
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Thus, the question about the weight of the players asks a statistical question, unlike the height of Ben's mother.

Learn more about statistical questions at brainly.com/question/12150562

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4 0
2 years ago
How do I find and mean within the data set?
kvv77 [185]
The mean is like the average. you would add up all the numbers and divide by the amount of numbers there are. in this case, add them all up and divide by 6 because there are 6 different numbers. this will give you your answer
7 0
3 years ago
Calculate the value of x in the equation 2x - 15 =5 - 3×
pshichka [43]

\bold{2x - 15 = 5 - 3x} \\  \bold{2x + 3x = 15  +  5} \\  \bold{5x =20 } \\  \bold{x =  \cancel{ \frac {20}{5} }} \\  \bold{x = 4}

Hope it helps

3 0
1 year ago
Read 2 more answers
Is 202 hundredths equal to 2 hundreds and 2 thousandths
Murljashka [212]

Answer:

No

Step-by-step explanation:

202 hundredths is equivalent to 0.202.

Starting from left, 0 is in unit place, 2 is in Tenths place, 0 is in Hundredths place and 2 is in thousandths place.

The value of 2 (at left, just after decimal) is 1/10

The value of 2 (at right,) is 1/1000

It means, 202 hundredths is equal to 2 tenths and 2 thousandths. Hence, the given statement is not correct.

4 0
3 years ago
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