There are 2 tangent lines that pass through the point

and

Explanation:
Given:

The point-slope form of the equation of a line tells us that the form of the tangent lines must be:
![[1]](https://tex.z-dn.net/?f=%5B1%5D)
For the lines to be tangent to the curve, we must substitute the first derivative of the curve for
:



![[2]](https://tex.z-dn.net/?f=%5B2%5D)
Substitute equation [2] into equation [1]:
![[1.1]](https://tex.z-dn.net/?f=%5B1.1%5D)
Because the line must touch the curve, we may substitute 

Solve for x:




± 
±
<em> </em>

There are 2 tangent lines.

and

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The stock price per share was $8.60
Number of shares bought 1000
Total price for the shares:
(Cost per share)*(Number of shares)
=8.60*1000
=$8600
The stock price after 1 year $9.15
Total number of shares is 1000
Current price=(current share price)*(number of shares)
9.15*1000
=$9150
current value=(Current price)-(buying price)
=9150-8600
=$550
Net Profit=(Current value)-(Expenses)
=550-14
=$536
<u>Answer:</u>
- The x coordinate is known as <u>abscissa</u><u> </u><u>(</u><u>B)</u>
<u>Step-by-step</u><u> Explanation</u><u>:</u>
In a Cartesian plane, we learn many such terms which represent a point, or a line, or cooridnates of some points etc
Such terms are:
- Origin (Intersection of x axis and y-axis.)
- x - axis (Horizontal line)
- y - axis (Vertical line)
- abscisaa (x -coordinate)
- ordinate (y - coordinate)
Answer:
B) 1:3
Step-by-step explanation:
Let's layout the information given firstly.
Marigolds= 18
Petunias= 6
In ratios, you need to follow the arrangement, for say in this question they say petunias go first, so the ratio should involve the value 6 first.
Therefore, it will give you, 6:18.
Now, you need to simplify this ratio. Just simplify it as it were, a fraction. Divide each number by a common factor, in this case, it is 6. Once you've done that, you'll get 1:3.
Hope this helped.