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noname [10]
4 years ago
5

The point at which the slope of the tangent line is -3

Mathematics
1 answer:
AlexFokin [52]4 years ago
4 0
F(x) = 6x^2 + 3x - 6

The derivative, and thus the slope of the T. L. to the graph, is f '(x) = 12x + 3.  Set this result = to -3 and solve for x:

12x + 3 = -3  =>  12x = - 6 and x = -1/2
                                                                       6 + 6 - 24
If x = -1/2, y = f(-1/2) = 6(1/4) - 3(-1/2) - 6 = -----------------  = -6
                                                                             4

The slope of the T. L. to the graph will be -3 at the point (-1/2, -6). 
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50 points
Georgia [21]

(680 * d) - (960 * d) + 52000 =

is the equation, i’m not sure what the total answer is though.

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7 0
4 years ago
at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same
iragen [17]

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

  • d = 1720
  • x = plane's speed
  • y = wind speed
  • t1 = 5 hours
  • t2 = 4 hours.

Substitution

  • d = (x + y) * t
  • 1720 = (x + y) * 4
  • 1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

  • (x + y) * 4 = (x - y)*5              Remove the brackets.
  • 4x + 4y = 5x - 5y                  Add 5y to both sides
  • 4x + 4y + 5y = 5x - 5y + 5y  Combine all the terms.
  • 4x + 9y = 5x                          Subtract 4x from both sides
  • 9y + 4x - 4x = 5x - 4x           Combine
  • 9y = x

Now use one of the given equations with the distance

  • 1720 = (x + y)*4           Substitute 9y for x
  • 1720 = (9y + y) *  4      Combine
  • 1720 = 10y * 4             Multiply the right
  • 1720 = 40y                  Divide by 40
  • 1720/40 = 40y/40      Do the division
  • 43 = y                          y = wind speek
  • 9y = x                          x = 9*y  
  • 9*43 = x
  • x = 387 miles per hour.
4 0
4 years ago
Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.
natali 33 [55]
X = − 3 + 3+3i√3
————————
2
,3−3i√3
—————
2
5 0
3 years ago
Read 2 more answers
BRAINLIEST!!!! Please say yes or no for number 13 and explain why. +15 points
WINSTONCH [101]

Answer:

yes (answer in the comments) U^U

Step-by-step explanation:

8 0
3 years ago
How do i solve this problem -1
balu736 [363]
It a negative 1 because when have the - sign it a negative number
6 0
2 years ago
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