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sleet_krkn [62]
3 years ago
8

How can i solve this (x+2)(2x+3) step by step please

Mathematics
2 answers:
MrRissso [65]3 years ago
6 0

Answer:

2x² + 7x + 6

Step-by-step explanation:

To solve this polynomial, you need to distribute/multiply, (x+2) with (2x+3).

You would first multiply (x) with 2x and 3. This would give you 2x² and 3x. You would then multiply 2 with 2x and 3. This would give you 4x and 6. You then add the like-terms, which are 3x and 4x, which gives you 7x. This would give you your final expression of 2x² +7x + 6.

(x+2)(2x+3)

2x²+ 3x + 4x + 6

2x² +7x + 6

GarryVolchara [31]3 years ago
4 0

Answer:

2<em>x</em>^2+7<em>x</em>+6

Step-by-step explanation:

Expand the polynomial (An algebraic expression) using the FOIL (First, Outer, Inner, Last) method.

2<em>x</em>^2+7<em>x</em>+6

(<em>x</em>+2)(2<em>x</em>+3)

First, <em>multiply the variables</em> (<em>x</em>).

(<em>x</em>)(2<em>x</em>) = 2<em>x</em>^2

  • <em>NOTE: the '^' before a number is used to signify an exponent.</em>

Then, <em>multiply the whole numbers</em> (2, 3).

(2)(3) = 6

Now, you're not done. You need to <em>multiply the variables and the whole numbers </em>(that weren't already multiplied together)

(<em>x</em>)(3) = 3<em>x</em>

(2)(2<em>x</em>) = 4<em>x</em>

  • <em>NOTE: make sure you're multiplying one expression to the other, </em><em>not </em><em>multiplying the same expression together.</em>

Finally, add them all together, and simplify.

2<em>x</em>^2 + 6 +3<em>x </em>+ 4<em>x</em>

<em>=</em>

2<em>x</em>^2+7<em>x</em>+6

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Answer:

true for all x

Step-by-step explanation:

3x - 4 ≤ 2

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or

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Subtract 11 from each side

2x + 11-11 ≥ -1-11

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Divide by 2

2x/2 ≥ -12/2

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true for all x

6 0
2 years ago
The play took in $744 one night. The number of $8 adult tickets was 12 less than twice the number of $5 child tickets. How many
vfiekz [6]

Answer:

68 adult tickets and 40 child tickets were sold.

Step-by-step explanation:

Create a system of equations where a is the number of adult tickets sold and c is the number of child tickets sold:

8a + 5c = 744

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Solve by substitution by substituting the second equation into the first one:

8(2c - 12) + 5c = 744

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21c = 840

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So, 40 child tickets were sold. Plug this into the second equation to solve for a:

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a = 2(40) - 12

a = 80 - 12

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So, 68 adult tickets and 40 child tickets were sold.

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Answer:

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Step-by-step explanation:

5 0
3 years ago
Multiples of 9 less than 80
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Can anyone solve this? will give brainliest if correct.
miv72 [106K]

Answer:

  • See below

Step-by-step explanation:

<u>The missing reasons are:</u>

  • 1. k. Given
  • 2. j. Definition of parallelogram
  • 3. d. Definition of linear pair
  • 4. b. Linear pair postulate
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8 0
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