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Ad libitum [116K]
3 years ago
13

If you were given the equation f ( x ) = 3x⁵+6x, what behavior would the ends of the graph have?

Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0
The function given in the problem is a Polynomial Function of degree 5. These functions have the following form: f(x)=ax^5+bx^4+c^3+d^2+ex+f. They have an R domain and their graphs are continuous curves.
 
 You can know the behavior of the function f(x)=3x⁵+6x by given values to the variable x and plot each point obtained. For example:
 
 If x=-1⇒ f(-1)=3(-1)⁵+6(-1)=9
 
 If x=0⇒ f(0)==3(0)⁵+6(0)=0
 
 If x=1⇒ f(1)=3(1)⁵+6(1)=9
 
 Therefore, as you can see in the graph attached, <span>the correct answer is:
 
  c. The left end will start down at a large negative and the right end will go upwards.</span>


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What an equivalent expression for 48 + 18x
FromTheMoon [43]

Answer:

6(8+3x)

Step-by-step explanation:

48+18x

We can factor out an 6 from each term in the expression

6(8+3x)

7 0
3 years ago
Read 2 more answers
Simplify the slope of AC
Lemur [1.5K]

Answer:

Slope\:\: \overline{AC} =1

Step-by-step explanation:

A is on the same point on the x-axis as B and the same point on the y-axis as D

  • Therefore, the coordinate of A is (0,0)

C is on the same point on the x-axis as D and the same point on the y-axis as B.

  • Therefore, the coordinate of C is (a,a)

We are to determine the slope of the line joining A to C.

Slope, m =\dfrac{y_2-y_1}{x_2-x_1} \\(x_1,y_1)=(0,0),(x_2,y_2)=(a,a)\\$Therefore, Slope of AC$\\m =\dfrac{a-0}{a-0}\\=\dfrac{a}{a}\\\\=1

Slope\:\: \overline{AC} =1

6 0
3 years ago
On a test of 80 problems, Bill got 75% of the problems correct. How many question did he get correct?​
Pavel [41]

Answer: 60

Step-by-step explanation:

75% of 80 is 60.

Multiply 80 by .75 to get the answer.

6 0
3 years ago
Q3. A bag contains 7 red balls and 3 green balls. A ball is taken out replaced.
ycow [4]

Part (a)

There are 7 red out of 7+3 = 10 total

<h3>Answer: 7/10</h3>

==========================================================

Part (b)

We have 3 green out of 10 total

<h3>Answer: 3/10</h3>

==========================================================

Part (c)

3/10 is the probability of getting green on any selection. This is because we put the first selection back (or it is replaced with an identical copy)

So (3/10)*(3/10) = 9/100 is the probability of getting two green in a row.

<h3>Answer: 9/100</h3>

==========================================================

Part (d)

Similar to part (c) we have 7/10 as the probability of getting red on each independent selection.

(7/10)*(7/10) = 49/100

<h3>Answer: 49/100</h3>

==========================================================

Part (e)

7/10 is the probability of getting red and 3/10 is the probability of getting green. Each selection is independent of any others.

(7/10)*(3/10) = 21/100

<h3>Answer: 21/100</h3>

==========================================================

Part (f)

We have the exact same set up as part (e). Notice how (7/10)*(3/10) is the same as (3/10)*(7/10).

<h3>Answer: 21/100</h3>
7 0
2 years ago
AB = [ 4 ]. Find A if B=(22]​
Vladimir79 [104]

Answer:

A = 2/11

Step-by-step explanation:

22A= 4

(22A)/22 = 4/22

A = 4/22 = 2/11

7 0
3 years ago
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