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dmitriy555 [2]
3 years ago
6

How to find slope of parabola at a point?

Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0
To find the slope of a parabola at a point you have to find is the first derivative of the function. This first derivative is the slope of the tangent of the parabola at the given point and it is the same slope of the parabola.

If you have the parabola with the general form y = Ax^2 + Bx + C

The slope at point (m,n) is:

y' = 2Ax + B

x = n

=> y ' = 2A(n) + B.

For example, find the slope of the parabole y = 3x^2 + 2x + 1, at x = 1


y' = 6x + 2

x = 1 => y' = 6(1) + 2 = 8.

So the slope at x = 1 is 8.
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an airport charges an additional fee for a piece of luggage that weighs more than 50 lbs write an inequality that shows the weig
nekit [7.7K]

Answer:

X ≤ 50

Step-by-step explanation:

Since the additional fee for a piece of luggage is only charged if it weighs more than 50 lbs, than Michael's suitcase weight must be less than, or equal to, 50 lbs.  Using 'X' as the weight of Michael's suitcase in pounds:

X ≤ 50

'X' is less than or equal to 50 lbs

4 0
4 years ago
Find the future value of 1000 at 7 % interest compounded annually for 10 years.​
ser-zykov [4K]

The future value of 1000 with annual compounding for 10 years is $1967.15.

The formula for calculating with annual compounding is:  

FV = P (1 + r)^n  

  • FV = Future value  
  • P = the amount deposited
  • R = interest rate  
  • N = number of years  

1000 x (1.07)^10 = $1967.15

To learn more about future value, please check: brainly.com/question/18760477

8 0
2 years ago
Read 2 more answers
What is the measure in each angle? A? B? C?
andrey2020 [161]

Answer:

∠A = 48°, ∠B = 48°, and ∠C = 84°

Step-by-step explanation:

AB = CB                Given

m ∠A = m ∠C      If opposite sides are =, then those opposite angles are =

6(x - 3) = 4(x + 1)

6x - 18 = 4x + 4

2x - 18 =  4

2x = 22

x = 11

m ∠A = 6(11 - 3) = 6(8) = 48°

m ∠C = 4(11+ 1) = 4(12) = 48°  

The sum of the angles in a triangle = 180°

48° + 48° m ∠B = 180°

 96°+ m ∠B = 180°

      84° =  m ∠B

5 0
3 years ago
a strip of paper is 9/10 of an inch long. you need to cut the paper into 3/12 inch pieces. how many pieces will you be able to c
e-lub [12.9K]
We have to divide 9/10 by 3/12.

if we divide by a fraction, we can instead multiply by it's inverse:

\frac{9}{12}/ \frac{3}{12}  = \frac{9}{12} * \frac{12}{3}

so now we count:

\frac{9}{12} * \frac{12}{3} =\frac{9}{1} * \frac{1}{3}=3

so we can cut exactly 3 pieces!



5 0
3 years ago
18 is what percent of 60
Arisa [49]
<span>first you set up a proportion 18 over ? = 60 over 100 then cross multiply. 18*100=1800 then divide that by 60 and you get 30 :)</span>
5 0
4 years ago
Read 2 more answers
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