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OLga [1]
3 years ago
6

Enter the equation of the line in slope-intercept form.

Mathematics
2 answers:
maks197457 [2]3 years ago
4 0

Answer:

y = 4x-18

Step-by-step explanation:

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

y = 4x+b

Substitute the point in the equation and solve for b

2 = 4(5)+b

2 = 20+b

2-20 = b

-18 =b

y = 4x-18

marta [7]3 years ago
3 0

Answer:

y = 4x -18

Step-by-step explanation:

y-2 = 4(x-5)

y = 4x -20+2

y = 4x -18

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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
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  • 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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Answer:

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