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Anastasy [175]
3 years ago
15

Consider the functions f(x) = x to the second power + 9x and g(x) =1/x.

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0
Let's first calculate the inner functions, then fill in in the outer one:

g(-1) = 1/-1 = -1.
f(-1) = (-1)^2 + 9(-1) = 1 - 9 = -8

And then 

f(1/2) = (1/2)^2 + 9(1/2) = 1/4 + 9/2 = 19/4
g(19/4) = 4/19
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.3 3. True or False? For any integer m, 2m(3m + 2) is divisible by 4. Explain to get credit.
Sav [38]

Answer with explanation:

We have to prove that, For any integer m, 2 m×(3 m + 2) is divisible by 4.

We will prove this result with the help of Mathematical Induction.

⇒For Positive Integers

For, m=1

L HS=2×1×(3×1+2)

      =2×(5)

       =10

It is not divisible by 4.

⇒For Negative Integers

For, m= -1

L HS=2×(-1)×[3×(-1)+2]

      =-2×(-3+2)

       = (-2)× (-1)

       =2

It is not divisible by 4.

False Statement.

4 0
3 years ago
A supervisor finds the mean number of miles that the employees in a department live from work. Which mileage is within a z-score
Vikentia [17]
The z-score tells you how many standard deviations from the mean. 

<span>1.5 * 3.6 = 5.4 miles </span>

<span>So anything within 5.4 miles of the average (29). </span>

<span>The range would be: </span>
<span>29 - 5.4 = 23.6 </span>
<span>to: </span>
<span>29 + 5.4 = 34.4 </span>

<span>23.6 ≤ x ≤ 34.4 </span>

<span>Answer: </span>
<span>B) 24 miles</span>
7 0
3 years ago
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Troyanec [42]

Answer:

56

Step-by-step explanation:

Strange question to me

6 0
3 years ago
(6x² + 36x² + 12) ÷ (x+6)
astra-53 [7]

Answer:

=42x2+1

Step-by-step explanation:

6x2+36x2+12x+6

=42x2+1

8 0
3 years ago
Which of the following equations is modeled by the graph?
sukhopar [10]
The answer is A; a=50t cause if you were to put 0, you would get 0 which is the first point, if you put in 1 you get 50, if you put in 2 you get 100 and so on.
3 0
3 years ago
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