Use the graph of f "(x) below to state x-coordinates of the inflection points for the graph of f(x).
2 answers:
Answer:
<h2>0 and 4.</h2>Step-by-step explanation:
By mathematical definition, an inflection points is where the second derivative is null, that is, , when that happens, we can say there are inflections points.
So, the graph is showing the function of the second derivative of the original one. As we said, where the second derivative is null, there is an inflection points. You can observe in the image attached, that when and
, the function which represents the second derivative, is null, that means there are inflection points at those coordinates.
Therefore, the answer is 0 and 4.
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Answer:
Mrs. grub bought total number of shirts = 1
Mrs. grub bought total number of hats = 8
Step-by-step explanation:
Let Mrs. grub bought total number of shirts = x
Let Mrs. grub bought total number of hats = y
As given,
Price of 1 shirt = $4
Price of 1 hat = $12
⇒ Price of x shirts = $ 4x
Price of y hats = $ 12y
Given that,
Mrs. Grubb bought total piece of clothes = 9
⇒ x + y = 9 .......(1)
Also given,
She bought all clothing for $100
⇒ 4x + 12 y = 100 ........(2)
Divide equation (2) by 4 we get
x + 3y = 25 .......(3)
Now,
Subtract equation (1) from equation (3) , we get
x + 3y - ( x + y ) = 25 - 9
⇒ x + 3y - x - y = 16
⇒2y = 16
⇒y = = 8
⇒ y = 8
Put value of y in equation (3), we get
x + 3(8) = 25
⇒x + 24 = 25
⇒x = 25 - 24 = 1
⇒x = 1
∴ we get
Mrs. grub bought total number of shirts = x = 1
Mrs. grub bought total number of hats = y = 8