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sveta [45]
3 years ago
10

Which equation could be used to find the number of minutes, m, in h hours?

Mathematics
1 answer:
Mrrafil [7]3 years ago
7 0
Y=m+h is the equation

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The value of the function f(x) = 3x squared minus 2x for x =4
goldenfox [79]

Answer:

Answer is 40.

Step-by-step explanation:

7 0
3 years ago
Does there exist a di↵erentiable function g : [0, 1] R such that g'(x) = f(x) for all x 2 [0, 1]? Justify your answer
agasfer [191]

Answer:

No; Because g'(0) ≠ g'(1), i.e. 0≠2, then this function is not differentiable for g:[0,1]→R

Step-by-step explanation:

Assuming:  the function is f(x)=x^{2} in [0,1]

And rewriting it for the sake of clarity:

Does there exist a differentiable function g : [0, 1] →R such that g'(x) = f(x) for all g(x)=x² ∈ [0, 1]? Justify your answer

1) A function is considered to be differentiable if, and only if  both derivatives (right and left ones) do exist and have the same value. In this case, for the Domain [0,1]:

g'(0)=g'(1)

2) Examining it, the Domain for this set is smaller than the Real Set, since it is [0,1]

The limit to the left

g(x)=x^{2}\\g'(x)=2x\\ g'(0)=2(0) \Rightarrow g'(0)=0

g(x)=x^{2}\\g'(x)=2x\\ g'(1)=2(1) \Rightarrow g'(1)=2

g'(x)=f(x) then g'(0)=f(0) and g'(1)=f(1)

3) Since g'(0) ≠ g'(1), i.e. 0≠2, then this function is not differentiable for g:[0,1]→R

Because this is the same as to calculate the limit from the left and right side, of g(x).

f'(c)=\lim_{x\rightarrow c}\left [\frac{f(b)-f(a)}{b-a} \right ]\\\\g'(0)=\lim_{x\rightarrow 0}\left [\frac{g(b)-g(a)}{b-a} \right ]\\\\g'(1)=\lim_{x\rightarrow 1}\left [\frac{g(b)-g(a)}{b-a} \right ]

This is what the Bilateral Theorem says:

\lim_{x\rightarrow c^{-}}f(x)=L\Leftrightarrow \lim_{x\rightarrow c^{+}}f(x)=L\:and\:\lim_{x\rightarrow c^{-}}f(x)=L

4 0
3 years ago
The dot plots show the ages of players on two soccer teams. Which statements are true? Check all that app The Lions have more va
Yuliya22 [10]

Answer:

B and D

B: the eagles have more variability in the ages of their players.

D: The Eagles have more players.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Bezzdna [24]
The answer is option C. 9xy sqrt 2x
5 0
3 years ago
Complete the equation to show that 4.2÷0.35 is equal to 420÷35.
Alex

Answer:

12=12

Step-by-step explanation:

4.2÷0.35=420÷35

12=12

12-12=0

0=0

4 0
3 years ago
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