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trapecia [35]
3 years ago
15

Help me with this I can’t figure it out

Mathematics
2 answers:
Stella [2.4K]3 years ago
3 0

Answer:

y = 4x+6

The input is 11 when the output is 50

Step-by-step explanation:

We need to find the slope of this function using 2 points

(3,18) and (0,6) are two points

m = (y2-y1)/(x2-x1) is the formula for slope

  =(6-18)/(0-3)

  -12/-3

  =4

The slope is 4

We know the y intercept.  It is the value when x =0.  The y intercept is 6

We can use the slope intercept form of the equation

y = mx+b, where m is the slope and b is the y intercept.

y = 4x+6

We want to know the input when the output is 50 (or y=50)

50 = 4x+6

Subtract 6 from each side

50-6 = 4x+6-6

44 = 4x

Divide by 4

44/4 = 4x/4

11=x

The input is 11

Tom [10]3 years ago
3 0

Answer:

y = 4x + 6

Step-by-step explanation:

Equation

y= mx + b

Givens

See table

Solution

  • Start with x = 0. It is always a good place to start.
  • x = 0
  • y = 6
  • y = mx + b
  • 6 = m*(0) + b
  • 6 = b
  • So far what you have is y= mx + 6
  • Choose any point to find m
  • I'll use (3,18)
  • y = mx + 6
  • 18 = 3*m+ 6              Subtract 6 from both sides
  • 18 - 6 = 3m + 6 -6     combine
  • 12 = 3m                     Divide by 3
  • 12/3 = 3m/3              Divide
  • 4 = m

y = 4m + 6                Answer

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Step-by-step explanation:

Ann has to run a distance 100 - x    and swim  √ (50)² + x²

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t´(x)  = 0           - 1/5  + x/2√(50)² + x²  = 0

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 x  =  21,8 m

Therefore she has to run  100 - 21,82  = 78,18 m

And swim    √(50)² + (78,18)²   =  92m

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