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irinina [24]
2 years ago
11

Find the product of the following expression. 4(3x2 - 4x + 5)

Mathematics
1 answer:
Papessa [141]2 years ago
4 0

Answer:

-16x + 44

Solution:

4(3×2 - 4x + 5)

= 4( 6 - 4x + 5)

=4( -4x + 11)

= -16x + 44

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What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.
anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

a_1=-12\\a_2=-7\\a_3=-2\\a_4=3

d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference

Putting the values in the formula

a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n

Putting n=32 in explicit formula

a_{32}=-17+5(32)\\=-17+160\\=143

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

6 0
2 years ago
How many cups of popcorn does Harlan use per cup of cereal?
wariber [46]

Answer:

1. 2 cups

2. 0.5.

Hope this helps!

Step-by-step explanation:

5 0
3 years ago
What is the scientific notation for 0.01.
Aliun [14]

Answer:

10000 = 1 x 104

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
How would you write “the product of 12 and k is 84 “ as a expression?
bearhunter [10]

Answer:

12k=84

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

If you mean as an equation, it would be 12k=84

(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥

˜”*°•.˜”*°• ~Star •°*”˜.•°*”˜

7 0
3 years ago
Solve the following system of linear equations algebraically.<br> 3x + y = 5<br> 5x – 4y = -3
Korvikt [17]

3x+y=5 & 5x-4y=-3

3x+5x=8x+y-4y=-3

           8x+y-4y=-3

     8x+3y=-3

         -3     -3

8x=-6

3 0
2 years ago
Read 2 more answers
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