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Andrej [43]
2 years ago
13

Find the equations of the tangents to y=x^2 which pass through the point (2,3).

Mathematics
1 answer:
algol [13]2 years ago
6 0

Answer: The equations of the tangents that pass through

y  =  -x- 1 and

y = 11x -25

Step-by-step explanation: The gradient of the tangent to a curve at any particular point is given by the derivative of the curve at that point. So for our curve (the parabola) we have

y= x^2 +x

Differentiating wrt  x we get:

dy/dx = 2x +1

Let P (a, B)  be any generic point on the curve. Then the gradient of the tangent at P is given by:

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11:45 it will have 66 ?? so I don’t know hope that helps
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The quantity y varies directly as x and inversely as z. When x is 10 and z is 4, y is 15. What is y when x is 20 and z is 6?
frosja888 [35]
Y=(kx)/z


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8 0
3 years ago
The growth of a strain of bacteria can be modeled by the function graphed, where the x-values are the time in seconds and the y-
Andrew [12]

There are (A) 2.7 bacterias initially.

<h3>What is a function?</h3>
  • A function is an expression that establishes the relationship between the dependent and independent variables.
  • A function from a set X to a set Y allocates exactly one element of Y to each element of X.
  • The set X is known as the function's domain, while the set Y is known as the function's codomain.
  • Originally, functions were the idealization of how a variable quantity depends on another quantity.

To find the number of bacteria:

  • The graph shows that the function follows an exponential curve, and the starting point is at ( 0,2.7 ).
  • The starting number of bacteria is then 2.7.

Therefore, there are (A) 2.7 bacterias initially.

Know more about functions here:

brainly.com/question/25638609

#SPJ4

The correct question is given below:
The growth of a strain of bacteria can be modeled by

the function graphed, where the x-values are the time

in seconds and the y-values are the number of

bacteria. How many bacteria are there initially?

(A) 2.7

(B) 2.8

(C) 4

3 0
1 year ago
Simplify completely quantity 8 x minus 16 over quantity x squared minus 13 x plus 22 and find the restrictions on the variable.
Nostrana [21]

Answer:

hope this helps !

Step-by-step explanation:

1) ( 8 x- 16 ) / (x²- 13 x + 22 ) = ( 8 x- 16 ) ( x - 11) ( x -2 ) = 8 ( x-2) ( x-11) ( x- 2 ) = 8/(x-11)

Restriction x ≠ 11 & x ≠ 2

since both values render the denominator = to 0 & we can't divide by 0.

5 0
2 years ago
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