Complete the statements about the key features of the graph of f(x) = x5 – 9x3.
As x goes to negative infinity, f(x) goes to ________ infinity, and as x goes to positive infinity, f(x) goes to _______ infinity.

Answers

Answer 1

Answer:

Negative and positive

Step-by-step explanation:

Complete the statements about the key features of the graph of f(x) = x5 – 9x3.

As x goes to negative infinity, f(x) goes to "NEGATIVE" infinity, and as x goes to positive infinity, f(x) goes to "POSITIVE" infinity.

Answer 2

The complete statement is:

As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity

The function is given as:

[tex]f(x) = x^5 - 9x^3[/tex]

Set x to 2

So, we have:

[tex]f(2) = 2^5 - 9(2)^3[/tex]

[tex]f(2) = -40[/tex]

Set x to 5

[tex]f(5) = 5^5 - 9(5)^3[/tex]

[tex]f(5) = 2000[/tex]

Notice that, as the value of x increases from 2 to 5, the function increases from -40 to 2000

Hence, the texts that complete the blanks are (a) negative and (b) positive, respectively

Read more about function behaviors at:

https://brainly.com/question/24114085


Related Questions

CAN SOMEBODY PLEASE HELPP THIS IS URGENT

Answers

Answer:

1. The fraction is 11/9

Step-by-step explanation:

You didn't specify which ones you need help with so I'm answering the first one for you.

let x=1.2 —equation 1

10x=12.2 —equation 2

subtract equation 1 from 2

10x-x=12.2-1.2

9x=11

x=11/9

If the length of a rectangle is 3 time longer than
width. find the length of width if its area is
270.cm?​

Answers

Answer:

30 cm

Step-by-step explanation:

Can you someone please solve 2 and 3

Answers

Answer:

I think the first one is 4 and the second one is 2

Step-by-step explanation:

How do I do the work?

Answers

for the first one. distribute and multiply the b to the other b. the -4 to the b and the -2 and the -4 to the to. it’s really easy just distribute each variable to every value

What is the value of -3/5+ -0.75+4 7/10

Answers

Answer: 3.35

i think

Step-by-step explanation:

The lengths of two sides of a triangle are 5 in and 16 in. What is the range of possible lengths for the third side?

Answers

Answer:

time the number together

Step-by-step explanation:

plese someone answer me b asap

Answers

Answer:

[tex]\huge\boxed{\sf 9y^2 -22y-24}[/tex]

Step-by-step explanation:

[tex]\sf (3y-1)^2 -(2y+4)^2+(2y-3)(2y+3)\\\\Using \ formula:\\\\1) (a-b)^2 = a^2-2ab+b^2\\\\2) (a+b)^2= a^2+2ab+b^2\\\\3) (a+b)(a-b) = a^2-b^2\\\\Applying \ Formulas\\\\(3y)^2-2(3y)(1)+(1)^2-[(2y)^2+2(2y)(4)+(4)^2]+(2y)^2-(3)^2\\\\9y^2-6y+1-[4y^2+16y+16]+4y^2-9\\\\9y^2-6y+1 -4y^2-16y-16+4y^2-9\\\\Combining \ like \ terms\\\\9y^2-4y^2+4y^2-6y-16y+1-16-9\\\\9y^2 -22y-24\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

a) [tex]\frac{1}{3}[/tex] k² - 9

b) -7y² - 3

Step-by-step explanation:

a) ([tex]\frac{2}{3}[/tex] k - 6)² - ([tex]\frac{1}{3}[/tex] k + 3)²

  = [tex]\frac{4}{9}[/tex] k² - 36 - [tex]\frac{1}{9}[/tex] k² + 9

  = [tex]\frac{4}{9}[/tex] k² - [tex]\frac{1}{9}[/tex] k² + 9 -36

  = [tex]\frac{3}{9}[/tex] k² - 27

  = [tex]\frac{1}{3}[/tex] k² - 9

____________________________________

b) (3y - 1)² - (2y + 4)² + (2y - 3) (2y + 3)

  = 9y² - 1 - 4y² + 16 + (2y - 3) (2y + 3)

  = 9y² - 4y² - 1 + 16 + (- 3) (4y² + 6y)

  = 5y² + 15 - 12y² - 18

  = 5y² - 12y² + 15 - 18

  = -7y² - 3

Hope this helps!

(NOTE: Do you mind marking me as Brainliest?)

Write the equation in standard form: -2 (x - 5) = 3y *
0 -2x + 10x = 3y
O y = -2/3x + 10/3
0 -3y - 2x = -10
0 -3-27 = 10

Answers

Answer:

In think is the first one

Answer: 3rd option

Explanation:

-2(x - 5) = 3y
-2x + 10 = 3y
-2x - 3y = -10
Or -3y - 2x = -10

And this is the standard form

Barb is making a bead necklace. She strings 1 white bead, 3 blue bead, then 1 white bead, and so on. Write the numbers for the the eight beads that are white. What is the rule for the pattern?

Answers

Answer:

1,5,9,13,17,21,25,29

Step-by-step explanation:

From the information given.

Let represent the number of white beads with x and the number of blue beads with y. So, the beads can be illustrated as:

bead   color

1             x

2            y

3            y

4            y

5            x

6            y

7            y

8            y

Suppose n denotes the no. of beads that are white.

Then the subsequent no is ( n + 4).

Since the first number n = 1

Then the subsequent numbers will follow the pattern of adding 4 to the number.

i.e.

n = 1 + 4 = 5

n = 5 + 4 = 9

n = 9 + 4 = 13

n = 13 + 4 =1 7

n = 17 + 4 = 21

n = 21 + 4 = 25

n = 25 + 4 = 29

Thus, the number for the first eight beads that are white are:

1,5,9,13,17,21,25,29

The pattern shows odd numbers only.

PLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answer

Answers

D- 4 is your correct answer :)

Hope this helps

Would these be linear combinations or quadratic equations

Answers

Answer:

actually it is a simultaneous equation from linear combinations

12) Find the sum, S7 for the geometric series {1 + 5 + 25 + - + 15625).
[A] S, = 19531
[B] S, = 16536
[C] Sy = 15631
D] S, = 31256
[E] None of these

Answers

Understanding:

The sum of a geometric series is, [tex]a+ar+ar^2+ar^3+...[/tex], with a being the start point and r is the common ratio. We can also use the following formula to make life easier [tex]S_n=a\frac{1-r^n}{1-r}[/tex], a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.

Solution:

Our start point is 1, [tex]a=1[/tex],

The common ratio is 5, [tex]r=5[/tex],

And finally, the number of terms is 7, [tex]n=7[/tex].

[tex]S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531[/tex]

The answer is [A] 19531.

7x2 - 2x2 = .......................................
simple but he help me out
(BTW if u answered the)

Answers

Answer:

10

Step-by-step explanation:

7*2 - 2*2 = 14 - 4 = 10

Plz mark as brainliest!

Answer:

10

Step-by-step explanation:

13=4k+9 can someone plz help me figure this out it is killing me

Answers

Answer:

k = 1

Step-by-step explanation:

so we basically have to solve for k

13 = 4k + 9

subtract 9 from both sides

4 = 4k

divide both sides by 4 to get k by itself

4/4 = 1

4k / 4 = 1k = k

1 = k

hope this helps <3

Which is a better deal and why? And find the unit rate for both if you wanna help pls

Answers

Unit rate = cost / quantity

Lower unit rate is better deal.

3.50/10 = 0.35

2.40/6 = 0.40

The original 10 for 3.50 is the better deal.

Answer:

As we know that

Unit = Rate/Quantity

[tex] \tt \: \dfrac{3.50}{10} = 0.35[/tex]

[tex] \tt \dfrac{2.40}{6} = 0.40[/tex]

The original deal was better because it was cheap than new deal.

Martha and 4 friends attended a volleyball game. Admission was $3.50 per person. They all got snacks that were $2.50 each and a drink that was $1.50. On the way home they stopped at Starbucks for a frappucino that cost $4.75 per person. Martha paid for everything. How much did she pay?

Answers

Answer:

$61.25

Step-by-step explanation:

Given that:

There are 5 persons (Martha and 4 other friends)

Fee for admission for each person = $3.50

Price for snacks for each person = $2.50

Price for drinks for each person = $1.50

Price for frappucino for each person = $4.75

All the money was paid by Martha.

To find:

Total money paid by Martha.

Solution:

First of all, let us find the total cost for one person.

Total cost for one person = $3.50 + $2.50 + $1.50 + $4.75 = $12.25

There are a total of 5 persons.

Therefore total cost = $12.25 [tex]\times[/tex] 5 = $61.25

Total money paid by Marth = $61.25

At Store B, Tucker used a 35%-off coupon to buy a chain. Write an
expression for the price of this chain.

Answers

what is the price of the chian

Complete the explanation of how an estimate helps you to place the decimal point when multiplying 1.8 × 5.4.

Answers

Wherever the place is on the problem is where you put it in the solution, therefore the answer is 9.72 . hopefully this h be

Each triangle weighs 2.5 pounds,each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger.

Answers

Step-by-step explanation:

x+x+x+x+2.5(2)+3(2)=x+x+2.5+3(3)

4x+5+6=2x+2.5+9

4x+11=2x+11.5

-11         -11

4x=2x+0.5

-2x    -2x

2x=0.5

x=0.25

The equation that can be used to represent the hanger is x + x + x + x + 11 = x + x + 11.5, and 4x + 2.5 + 2.5 + 6 = 2x + 2.5 + 3 + 3 + 3

Given:

Each triangle = 2.5 pounds

Each circle = 3 pounds

Each square = x pounds

The hanger has two sides

Side 1:

squares = 4

Triangle = 2

Circle = 2

Side 2:

Squares = 2

Triangle = 1

Circle = 3

The equation:

side A = side B

4(x) + 2(2.5) + 2(3) = 2(x) + 1(2.5) + 3(3)

4x + 5 + 6 = 2x + 2.5 + 9

4x + 11 = 2x + 11.5

x + x + x + x + 11 = x + x + 11.5

Therefore, equation that can be used to represent the hanger is x + x + x + x + 11 = x + x + 11.5, and 4x + 2.5 + 2.5 + 6 = 2x + 2.5 + 3 + 3 + 3

Read more:

https://brainly.com/question/16450098

HELPPPPP PLEASEEEEE!!!

Answers

Answer:

The height of right circular cone is h = 15.416 cm

Step-by-step explanation:

The formula used to calculate lateral surface area of right circular cone is: [tex]s=\pi r\sqrt{r^2+h^2}[/tex]

where r is radius and h is height.

We are given:

Lateral surface area s = 236.64 cm²

Radius r = 4.75 cm

We need to find height of right circular cone.

Putting values in the formula and finding height:

[tex]s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2} \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416[/tex]

So, the height of right circular cone is h = 15.416 cm

The equation of the line that contains diagonal HM is y = 2/3 x + 7.
What is the slope of the line that contains diagonal OE?

Answers

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

We know that the diagonals are perpendicular bisectors of each other.

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

The sum of two numbers is 23. The larger number y is 1 less than twice the smaller number x. Write and solve a system of linear equations to find the two numbers.

Answers

Answer:

15 and 8

Step-by-step explanation:

65% of American adults are video gamers. What percentage of American adults are not video gamers?

Answers

Answer: 35%

Explanation: 100-65=35

please help me !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

20

Step-by-step explanation:

15 is the mid so +5 is 20 thus 20 is the anser

Today only, every sweatshirt is $4.25 less than normal price. Right now if you buy 5 sweatshirts, the total cost will be $106.25. What's the normal price of the sweatshirt?

Answers

Answer:

Step-by-step explanation:

The normal price of the sweatshirt will be $21.50 because if you divide $78.75 by 5 you get $15.75 for each sweatshirt then you add the $5.75 with will make the original price $21.50

Answer:

25.50

Step-by-step explanation:

You take 106.25 divided by 5 and you get the marked down price of one sweatshirt which is 21.25 so then you add 4.25 to that price and get 25.50.

Sarah reads 51 pages in 17 days.
Sarah's unit rate is _________ pages per day.
Must show work!

Answers

Answer:

sarah is a slow reader.....51/17=3

so she reads 3 pages per day

Step-by-step explanation:

Which ratio is not equivalent to 15:18?
A. 60:72
B. 35:42
C. 90:105
D.25:30

Answers

Answer:

The ratio 90: 105 is not equivalent to 15: 18 ⇒ C

Step-by-step explanation:

Let us simplify the given ratio to its simplest form first

∵ The ratio is 15: 18

∵ 15 and 18 have a common factor 3

→ Divide each term of the ratio by 3

∴ [tex]\frac{15}{3}[/tex] : [tex]\frac{18}{3}[/tex] = 5: 6

The simplest form of ratio 15: 18 is 5: 6

Let us find which choice will not give us the same ratio 5: 6

∵ 60: 72 have a common factor 12

→ Divide each term of the ratio by 12

∵ [tex]\frac{60}{12}[/tex] : [tex]\frac{72}{12}[/tex] = 5: 6

The simplest form of ratio 60: 72 is 5: 6

∴ The ratio 60: 72 is equivalent to 15: 18

∵ 35: 42 have a common factor 7

→ Divide each term of the ratio by 7

∵ [tex]\frac{35}{7}[/tex] : [tex]\frac{42}{7}[/tex] = 5: 6

The simplest form of ratio 35: 42 is 5: 6

∴ The ratio 35: 42 is equivalent to 15: 18

∵ 90: 105 have a common factor 15

→ Divide each term of the ratio by 15

∵ [tex]\frac{90}{15}[/tex] : [tex]\frac{105}{15}[/tex] = 6: 7

The simplest form of ratio 90: 105 is 6: 7

The ratio 90: 105 is not equivalent to 15: 18

BRAINLIEST TO RIGHT ANSWER!

Answers

Answer:

12 and 12

Step-by-step explanation:

What are the answers to these two ? HELP PLEASE

Answers

Answer:

1. D     2. A

Step-by-step explanation:

Can I have Brainllest answer Please I need It.

∠A and \angle B∠B are vertical angles. If m\angle A=(5x-2)^{\circ}∠A=(5x−2) ∘ and m\angle B=(3x+12)^{\circ}∠B=(3x+12) ∘ , then find the value of x.

Answers

Answer:

x = 7

Step-by-step explanation:

From the above question, we are told that:

∠A and ∠B vertical angles.

It is important to note that vertical angles are equal to each other

Hence:

∠A = ∠B

From the question,

∠A = (5x−2)°

∠B = (3x+12)°

Hence:

(5x−2)°= (3x+12)°

5x - 2 = 3x + 12

Collect like terms

5x - 3x = 12 +2

2x = 14

x = 14/2

x = 7

Answer:

X=14

Step-by-step explanation:

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