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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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Answer:

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Step-by-step explanation:

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Determine the measure of
Lorico [155]

Answer:

M: 74.579° = 74°34'43" = 1.30164

O: 49.421° = 49°25'17" = 0.86256 rad

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2 years ago
The first side of a triangle is 7cm less than twice the second side. The third side is 4cm longer than the first side. The perim
Vinil7 [7]

Given:

First side(A): 2B - 7

Second side(B): B

Third side(C): B + 4

Plug in values:

A + B + C = 80

2B - 7 + B + B + 4 = 80

If you look at the coefficients only, you can rewrite the equation like this:

2B + B + B - 7 + 4 = 80

This means that 4B - 7 + 4 = 80

=4B - 3 = 80

= 4B = 80 + 3

B = 83/4, so you can either write B as 83/4 or as 20.75.

Checking your work:

A: 2(20.75) - 7 = 34.5

B: 20.75

C: 4 + 20.75 = 24.75

34.5 + 20.75 + 24.75 = 80cm.

Hope this helped.

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2 years ago
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Anne is currently h years old. bill is currently 2h years old and Charles is currently eight years old. find an expression for e
Margarita [4]

Ann's age after h years is 2h

Bill's age after h years is 3h

Charles' age after h years is 8 + h

The sum of their ages after h years is 6h + 8

Step-by-step explanation:

The given is:

Anne is currently h years old

Bill is currently 2h years old

Charles is currently eight years old

We need to find an expression for each person’s age after h years and then find an expression for the sum of their ages after h years

∵ Ann is h years old now

∵ Her age after h years = her age now + h

∴ Her age after h years = h + h

∴ Her age after h years = 2h

Ann's age after h years is 2h

∵ Bill is 2h years old now

∵ His age after h years = his age now + h

∴ His age after h years = 2h + h

∴ His age after h years = 3h

Bill's age after h years is 3h

∵ Charles is 8 years old now

∵ His age after h years = his age now + h

∴ His age after h years = 8 + h

∴ His age after h years = 8 + h

Charles' age after h years is 8 + h

Add their ages after h years

∵ The sum of their ages after 8 years = 2h + 3h + 8 + h

- Add like terms

∴ The sum of their ages after 8 years = (2h + 3h + h ) + 8

∴ The sum of their ages after 8 years = 6h + b

The sum of their ages after h years is 6h + 8

Learn more:

You can learn more about word problems in brainly.com/question/10557938

#LearnwithBrainly

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