<span>Inflection points are where the function changes concavity. Since concave up corresponds to a positive second derivative and concave down corresponds to a negative second derivative, then when the function changes from concave up to concave down (or vise versa) the second derivative must equal zero at that point. So the second derivative must equal zero to be an inflection point. But don't get excited yet. You have to make sure that the concavity actually changes at that point.</span>
Answer:can’t read it
Step-by-step explanation:
Can you take a pic closer to the screen?
Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf{(5.5 \: , \: - 9.5)}}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%20%5Cboxed%7B%20%5Csf%7B%285.5%20%5C%3A%20%2C%20%5C%3A%20-%20%209.5%29%7D%7D%7D%7D%7D)
Step-by-step explanation:
Let the points be A and B
Let A ( 9 , -9 ) be ( x₁ , y₁ ) and B ( 2 , - 10 ) be ( x₂ , y₂ )
<u>Finding</u><u> </u><u>the</u><u> </u><u>midpoi</u><u>nt</u>
![\boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} }}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%7Bmidpoint%20%3D%20%28%20%5Cfrac%7Bx1%20%2B%20x2%7D%7B2%7D%20%2C%20%5Cfrac%7By1%20%2B%20y2%7D%7B2%7D%20%7D%7D)
![\longrightarrow{ \sf{midpoint = ( \frac{9 + 2}{2} , \: \frac{ - 9 + ( - 10)}{2}}} )](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7Bmidpoint%20%3D%20%28%20%5Cfrac%7B9%20%2B%202%7D%7B2%7D%20%2C%20%5C%3A%20%20%5Cfrac%7B%20-%209%20%20%2B%20%28%20-%2010%29%7D%7B2%7D%7D%7D%20%29)
![\longrightarrow{ \sf {midpoint = ( \frac{11}{2} \: , \: \frac{ - 9 - 10}{2}})}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%20%7Bmidpoint%20%3D%20%28%20%5Cfrac%7B11%7D%7B2%7D%20%5C%3A%20%2C%20%5C%3A%20%20%5Cfrac%7B%20-%209%20-%2010%7D%7B2%7D%7D%29%7D%20)
![\longrightarrow{ \sf{midpoint = (5.5 \: , \: \frac{ - 19}{2}}} )](https://tex.z-dn.net/?f=%20%20%5Clongrightarrow%7B%20%20%5Csf%7Bmidpoint%20%3D%20%285.5%20%5C%3A%20%2C%20%5C%3A%20%20%5Cfrac%7B%20-%2019%7D%7B2%7D%7D%7D%20%29)
![\longrightarrow{ \sf{midpoint = (5.5 \: , - 9.5}})](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7Bmidpoint%20%3D%20%285.5%20%5C%3A%20%2C%20-%209.5%7D%7D%29)
Hope I helped!
Best regards! :D
Answer: ? = x + 1
Step-by-step explanation:
The perimeter of the garden is x + 3x + 1 + x + ?
The perimeter of the garden is also (6x + 2)
Therfore:
x + 3x + 1 + x + ? = 6x + 2
<em>Collect like terms: </em>
5x + 1 + ? = 6x + 2
<em>Subtract 5x from both sides:</em>
1 + ? = x + 2
<em>Subtract 1 from both sides:</em>
? = x + 1
You cannot find ? as a number, only in terms of x.
Answer:
Toothbrushes: 100
Floss: 1050
Step-by-step explanation:
to find the number of toothbrushes, you multiply 50*20....to get the floss you multiply 15*70