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lara [203]
3 years ago
8

A basket contains 6 apples and 8 peaches. You grab a piece of fruit at random. What is the probability you first grab an apple a

nd eat it, and
then you grab another apple?

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
8 0
6/14 x 5/13 = 15/91
C
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F is a twice differentiable function that is defined for all reals. The value of f "(x) is given for several values of x in the
nadezda [96]

The correct answer is actually the last one.

The second derivative f''(x) gives us information about the concavity of a function: if f''(x) then the function is concave downwards in that point, whereas if f''(x)>0 then the function is concave upwards in that point.

This already shows why the first option is wrong - if the function was concave downwards for all x, then the second derivate would have been negative for all x, which isn't the case, because we have, for example, f''(8)=5

Also, the second derivative gives no information about specific points of the function. Suppose, in fact, that f(x) passes through the origin, so f(0)=0. Now translate the function upwards, for example. we have that f(x)+k doesn't pass through the origin, but the second derivative is always f''(x). So, the second option is wrong as well.

Now, about the last two. The answer you chose would be correct if the exercise was about the first derivative f'(x). In fact, the first derivative gives information about the increasing or decreasing behaviour of the function - positive and negative derivative, respectively. So, if the first derivative is negative before a certain point and positive after that point. It means that the function is decreasing before that point, and increasing after. So, that point is a relative minimum.

But in this exercise we're dealing with second derivative, so we don't have information about the increasing/decreasing behaviour. Instead, we know that the second derivative is negative before zero - which means that the function is concave downwards before zero - and positive after zero - which means that the function is concave upwards after zero.

A point where the function changes its concavity is called a point of inflection, which is the correct answer.

7 0
3 years ago
Need help with my homework plz
PilotLPTM [1.2K]

Answer:

third answer choice

Step-by-step explanation:

√ 98 square root is 7√2, a irrational number.

add 5

5+7√ 2, irrational

7 0
2 years ago
Geometry help please
natta225 [31]
You know angles B and C are both 60°, the values of the angles in an equilateral triangle. Since the sum of angles in a quadrilateral is 360°, you have
B + C + x + y = 360°
60° +60° + x + y = 360°
x + y = 240°
7 0
2 years ago
HELP ASAP
beks73 [17]
D=dollars earned
T=time spent painting the fence.

(1,5) (2,10) (3,15)

D=5T
3 0
3 years ago
Read 2 more answers
Find the inverse of each function.
Temka [501]

Answer:

dunno

Step-by-step explanation:

4 0
2 years ago
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