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Lyrx [107]
3 years ago
7

Simplify the product. 3p4(4p4 + 7p3 + 4p + 1)

Mathematics
2 answers:
hoa [83]3 years ago
6 0
3p^4(4p^4 + 7p^3 + 4p + 1)


<span>=<span><span>(<span>3<span>p^4</span></span>)</span><span>(<span><span><span><span>4<span>p^4</span></span>+<span>7<span>p^3</span></span></span>+<span>4p</span></span>+1</span>)</span></span></span><span>=<span><span><span><span><span>(<span>3<span>p^4</span></span>)</span><span>(<span>4<span>p^4</span></span>)</span></span>+<span><span>(<span>3<span>p^4</span></span>)</span><span>(<span>7<span>p^3</span></span>)</span></span></span>+<span><span>(<span>3<span>p^4</span></span>)</span><span>(<span>4p</span>)</span></span></span>+<span><span>(<span>3<span>p^4</span></span>)</span><span>(1)</span></span></span></span><span>=<span><span><span><span>12<span>p^8</span></span>+<span>21<span>p^7</span></span></span>+<span>12<span>p^5</span></span></span>+<span>3<span>p^<span>4</span></span></span></span></span>
JulsSmile [24]3 years ago
3 0

The correct answer is 12p8+21p7+12p5+3p4 is your anwser.

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8 0
3 years ago
Write the equation 2x-3y=6in slope -intercept form​
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Answer:

y = 2/3 x -2

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

We need to solve for y

2x-3y = 6

Subtract 2x from each side

2x-2x-3y=-2x+6

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7 0
2 years ago
Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
Natali [406]

Answers:

  • Total equation:  x+y = 80
  • Legs equation:  2x+4y = 248
  • How many ducks? 36
  • How many cows? 44

====================================================

Further explanation:

  • x = number of ducks
  • y = number of cows

x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.

That equation can be solved to y = 80-x after subtracting x from both sides.

The legs equation is 2x+4y = 248 because...

  • 2x = number of legs from all the ducks only
  • 4y = number of legs from all the cows only
  • 2x+4y = total number of legs from both types of animals combined

We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248

------------

Let's plug y = 80-x into the second equation and solve for x.

2x+4y = 248

2x+4( y ) = 248

2x+4( 80-x ) = 248

2x+320-4x = 248

-2x+320 = 248

-2x = 248-320

-2x = -72

x = -72/(-2)

x = 36

There are 36 ducks

Now use this x value to find y

y = 80-x

y = 80-36

y = 44

There are 44 cows.

------------

Check:

36 ducks + 44 cows = 80 animals total

36*2 + 44*4 = 72 + 176 = 248 legs total

The answers are confirmed.

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Answer:

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Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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