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ELEN [110]
3 years ago
6

Order these numbers from least to greatest. 2.508 , 2.58 , 3.64 , 2.9

Mathematics
2 answers:
Lena [83]3 years ago
5 0
2.508, 2.58, 2.9, 3.64! Hope this helps!
Kobotan [32]3 years ago
3 0
2.508, 2.58, 2.9, 3.64
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The function y = x 2 - 10x + 31 has a ____
katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

f(x) = x^2-10x+31

Taking first derivative

f'(x) = 2x-10

Now the first derivative has to be put equal to zero to find the critical value

2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5

The function has only one critical value which is 5.

Taking 2nd derivative

f''(x) =2

f''(5) = 2

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

f(5) = (5)^2-10(5)+31\\=25-50+31\\=6

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum  value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

8 0
3 years ago
QUESTION 3: POCKET MONEY Mr Reyan made an agreement with his son Smith who is studying in grade 12 as follows. Smith will get po
const2013 [10]

The formula for obtaining the value of a term of a sequence is given as a

as a recursive formula.

Responses:

  • The information as a sequence is; R1, 2·R1, 4·R1, 8·R1, 16·R1, ...
  • The sequence of the information is a geometric sequence

<h3>How is the given information expressed as a sequence?</h3>

The amount of pocket money Smith gets = 2 × The amount he gets in the previous day

The amount Smith gets on the first day = R1

Required:

The given information expressed as a sequence.

Solution:

The amount of money smith gets can be expressed as follows;

Amount he gets on day 1 = R1

On day 2, R2 = 2·R1

On day 3, R3 = 2·R2 = 2·2·R1 = 4·R1

On day 4, R4 = 2·R3 = 2·2·2·R1 = 8·R1

On day 5, R5 = 2·R4 = 2·2·2·2··R1 = 16·R1

The information written as a sequence is therefore;

  • R1, 2·R1, 4·R1, 8·R1, 16·R1, ...

  • The type of sequence is a<u> geometric sequence, or progression</u> where the first term is R1, and the common ratio, r = 2

Learn more about geometric sequence here:

brainly.com/question/4289731

brainly.com/question/1532378

8 0
2 years ago
If the mass is 10 the volume is
AysviL [449]
If he mass is 10 then the volume is 100
4 0
3 years ago
Tell whether 20 is a factor or multiple of the number .Write factor ,multiple,or neither. 10. 30
steposvetlana [31]
20 is a multiple of 10
It is neither for 30.
4 0
2 years ago
Read 2 more answers
X² + 8x=-3<br> A. 8<br> B. 16<br> C. 64<br> D. 4
kari74 [83]

Answer:

hablan español? Si hablan porfavor me pueden ayudar en una tarea de matemática que no se mucho matemática

4 0
2 years ago
Read 2 more answers
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