In which direction does the left side of the graph of this function point?
f(x) = 3x^3– x^2 + 4x - 2

Answers

Answer 1

Answer:

Down.

Step-by-step explanation:

ƒ(x) = 3x³ - x² + 4x - 2

"They" are asking you to determine the end behaviour of the function, that is, what happens to the function as x ⟶ -∞.

The important point to remember is that, when x is large enough, the term of highest degree (the x³ term) will be so large that you can ignore all the other terms.

If x is large and negative,  

f(x) ≈ 3(-x)³ = 3(-1)³(x)³= -3x³

Thus, the graph is in the third quadrant and the graph points down.

The figure below shows the graph of your function. It points sharply down on the left-hand side.

In Which Direction Does The Left Side Of The Graph Of This Function Point?f(x) = 3x^3 X^2 + 4x - 2

Related Questions

Which inequality is shown below ?

Answers

Answer:

b.

Step-by-step explanation:

Help with inscribed polygons. Me and my daughter do not understand this.

Answers

Answer:

Part 1)

a.1) The central angle of pentagon is 72°

a.2) The central angle of hexagon is 60°

a.3) The central angle of decagon is 36°

a.4) The central angle of dodecagon is 30°

b.1) The measure of each interior angle of pentagon is 108°

b.2) The measure of each interior angle of hexagon is 120°

b.3) The measure of each interior angle of decagon is 144°

b.4) The measure of each interior angle of dodecagon is 150°

Part 2) The central angle and the interior angle are supplementary angles

Part 3) As the number of sides increases, the central angle decreases and the interior angle increases.

Step-by-step explanation:

Part 1. For each polygon, include the following information in the paragraph box below:

a) What was the central angle you used to locate the vertices? Show your calculation.

we know that

To find the central angle divide 360 degrees by the number of sides of the polygon

case a.1) Pentagon

The pentagon has 5 sides

so

The central angle is equal to

360°/5=72°

case a.2) Hexagon

The pentagon has 6 sides

so

The central angle is equal to

360°/6=60°

case a.3) Decagon

The pentagon has 10 sides

so

The central angle is equal to

360°/10=36°

case a.4) Dodecagon

The pentagon has 12 sides

so

The central angle is equal to

360°/12=30°

b) What is the measure of each interior angle of the polygon? Show your calculation

we know that

The sum of the interior angle of the polygon is equal to

S=(n-2)*180°

where

n is the number of sides

To find each the measure of each interior angle, divide the sum of the interior angles by the number of sides

case b.1) Pentagon

The pentagon has 5 sides

so

S=(n-2)*180°

S=(5-2)*180°=540°

Divide by the number of sides

The measure of each interior angle is equal to

540°/5=108°

case b.2) Hexagon

The hexagon has 6 sides

so

S=(n-2)*180°

S=(6-2)*180°=720°

Divide by the number of sides

The measure of each interior angle is equal to

720°/6=120°

case b.3) Decagon

The hexagon has 10 sides

so

S=(n-2)*180°

S=(10-2)*180°=1,440°

Divide by the number of sides

The measure of each interior angle is equal to

1,440°/10=144°

case b.4) Dodecagon

The hexagon has 12 sides

so

S=(n-2)*180°

S=(12-2)*180°=1,800°

Divide by the number of sides

The measure of each interior angle is equal to

1,800°/12=150°

Part 2. What is the relationship between the central angle and the interior angle?

we know that

The sum of the central angle plus the interior angle is equal to 180 degrees

therefore

The central angle and the interior angle are supplementary angles

Verify

Pentagon

72°+108°=180°

Hexagon

60°+120°=180°

Decagon

36°+144°=180°

Dodecagon

30°+150°=180°  

Part 3. As the number of sides increases, how do the angles change?

we know that

As the number of sides increases, the central angle decreases and the interior angle increases.

Should teens be allowed to play dangerous sports? Why or why not?

Answers

Answer:

I mean if it's there dream then why stop it? Its there life and we can't really stop that cause regardless what you say or do they're gonna find a way to do it. So I would say yes.

I am going to assume this is a poll? For our opinions?

If so then yes, I think that kids should be allowed to play dangerous sports..Football fatalities remain rare, but the game can be dangerous. That doesn't mean kids shouldn't play, same with hockey and any other

one fifth of a number plus five times that number is equal to seven times the number less 18​

Answers

Final answer:

To solve the equation, we can use algebraic techniques to find the value of 'x'.

Explanation:

To solve the equation, we can let the number be represented by 'x'. The equation can then be written as: (1/5)x + 5x = 7x - 18. Simplifying this equation gives us: (1/5)x + 5x - 7x = -18. Combining like terms, we get: (6/5)x = -18. Dividing both sides by 6/5 gives us the value of 'x'.

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Follow below steps:

The question involves solving a linear equation to find an unknown number. To solve "one fifth of a number plus five times that number is equal to seven times the number less 18", the first step is to let "x" represent the unknown number and then create an equation based on the given information.

We start by translating the words into an equation:

One fifth of a number can be written as "(1/5)x".

Five times that number is written as "5x".

Seven times the number less 18 is written as "7x - 18".

So our equation becomes "(1/5)x + 5x = 7x - 18". Simplifying, we get "(6/5)x = 7x - 18".

Combining like terms yields "(1/5)x = -18", and we solve for x to find the value of the unknown number: "x = -90".

Through this process, the student can identify the value of the number in question.

3 ÷ 1/2 what is it?​

Answers

[tex]3\div\dfrac{1}{2}=3\cdot2=6[/tex]

Answer:

6

Step-by-step explanation:

3 divided by 1/2

To solve this first put a 1 as the denominator for the 3 to make it a fraction

3/1 divided by 1/2

To divide fraction you need to change the division sign to a multiplication sign and the second fraction into its reciprocal

3/1*2/1

Now multiply across

6/1 which is also 6

Which of the following are independent events?
A) knowing that it is going to rain tomorrow, and bringing an umbrella to school
B) knowing that you have to get up early tomorrow, and going to bed before 9 p.m
C) knowing that it is going to rain tomorrow, and going to bed before 9 p.m
D) knowing that you have a test in school tomorrow, and studying thw night before​

Answers

Answer:

Answer is (c) knowing that it is going to rain tomorrow, and going to bed before 9

Step-by-step explanation:

Because they are not related in any way, going to bed early doesn't effect the weather.

Final answer:

Option C, knowing that it is going to rain tomorrow, and going to bed before 9 p.m, represents independent events as the outcome or occurrence of one does not affect the other probabilistically.

Explanation:

The question at hand is asking which of the provided options are examples of independent events. In probability theory, independent events are those whose occurrence or outcome does not affect the probability of the other occurring. Going through the options provided:

Option A describes a dependent event because knowing it is going to rain might influence your decision to bring an umbrella.Option B also describes a dependent event since knowing you have to get up early could cause you to go to bed earlier than usual.Option C is likely an independent event because the knowledge of rain doesn't directly affect your bedtime. These are not causally connected.Option D is a dependent event because knowing you have a test might lead you to study the night before.

It's essential to differentiate between events that may logically seem connected and those that truly affect each other's outcomes in the context of probability theory.

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The library is located 1.8 miles west of Callie’s house. The grocery store is located 2.4 miles south of the library. What is the length of a straight line between Callie’s house and the grocery store? Enter your answer in the box.

Answers

Check the picture below.

By using a right triangle rectangle, we will see that the distance is equal to 3 miles.

How to find the distance?

You can think of the distance as the hypotenuse of a right triangle with legs that measure 1.8 miles and 2.4 miles.

Then, using the Pythagorean theorem we can write:

H^2 = (1.8 mi)^2 + (2.4 mi)^2

H = √((1.8 mi)^2 + (2.4 mi)^2) = 3mi

So the distance between Callie's house and the grocery store is 3 miles.

If you want to learn more about right triangles, you can read:

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Can someone please help??

Answers

Answer:

24 + 32p = 8(3 + 4p)

Step-by-step explanation:

24 = 8 · 3

32p = 8 · 4p

24 + 32p = 8 · 3 + 8 · 4p = 8 · (3 + 4p)

The circle given by x^2+y^2-6y-12=0 can be written in standard form like this: x^2+(y-k)^2=21 What is the value of k in this equation?

Answers

Answer:

The value of k =3

Step-by-step explanation:

[tex]x^2+y^2-6y-12=0[/tex] We need to solve this equation to become in standard form to find the value of k.

[tex]x^2+y^2-6y-12=0\\x^2+y^2-6y = 12\\(x)^2 +(y^2-2(y)(3)+(3)^2) = 12 +(3)^2\\(x)^2+(y-3)^2 = 12+9\\(x)^2 +(y-3)^2 = 21[/tex]

The given standard form is:

[tex]x^2+(y-k)^2=21[/tex]

Comparing it with [tex](x)^2 +(y-3)^2 = 21[/tex]

The value of k =3

Answer:

k = 3

Step-by-step explanation:

Equation of the given function has been given as x² + y² - 6y - 12 = 0.

We have to convert this equation in the standard form of x² + (y - k)² = 21 to get the value of k.

x² + y² - 6y - 12 = 0

x² + y² - 6y + 9 - 9 - 12 = 0

x² + [y²- 2(3y) + 3²] - 21 = 0

x² + (y - 3)²- 21 = 0

x² + (y - 3)² = 21

Now by comparing this equation with the standard form of the equation we get the value of k = 3


Find the surface area of this cube. Be sure to include the correct unit in your answer.
8 yd
8 yd
8 yd

Answers

Are the dimensions 8yd x 8yd x 8yd? If so this is how you do:

First calculate the area or one side. Then multiply it by 6 as all the sides of the cube have the same area.

Side area = 8yd x 8yd = 64yd^2

Surface area = 6 x 64yd^2 = 384yd^2

which expression is equivalent to (5x2 + 2x + 1) + (6x2 − 3x + 9) -A. -3x2 + 11x − 3 B. 11x2 − x + 10 C. 4x2 + 27x − 28 D. -3x2 + 11x + 31

Answers

Answer:

B. 11x^2 − x + 10

Step-by-step explanation:

(5x^2 + 2x + 1) + (6x^2 − 3x + 9)

I like to line them up vertically

  (5x^2 + 2x + 1)

+ (6x^2 − 3x + 9)

---------------------------

11 x^2  -  x   + 10

The diagonal of a square is x units. What is the area of the square in terms of x? square units square units 2x square units square units

Answers

For this case we have that by definition, if we draw the diagonal of a square two rectangular triangles are formed. If the diagonal measures "x", then the Pythagorean theorem is fulfilled:

[tex]l ^ 2 + l ^ 2 = x ^ 2[/tex]

Where:

l: It's the side of the square.

[tex]2l ^ 2 = x ^ 2\\l ^ 2 = \frac {x ^ 2} {2}[/tex]

We know that the area of a square is given by:

[tex]A = l ^ 2[/tex]

So, the area is:

[tex]A = \frac {x ^ 2} {2}[/tex]

Answer:

[tex]A = \frac {x ^ 2} {2}[/tex]

Answer:

Option A: 1/2 x^2

Step-by-step explanation:

(07.05 LC) How many solutions does the equation 4y + 7 = 5 + 2 + 4y have? One Two None Infinitely many

Answers

Answer: Infinitely many

Step-by-step explanation:

First simplify the right side by adding 5 and 2

now you have the equation 4y+7=7+4y

That is the exact same thing so any number works.

just to add to the great reply above.

[tex]\bf \begin{matrix} 4y \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}+7=5+2~~\begin{matrix} +4y \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}\implies 7=7[/tex]

whenever you end up with something like 0 = 0, or 7 = 7, is a flag that both equations are exactly the same, in this case, the one on the right-hand-side is really the one one the left-hand-side in disguise.

So the graph of one, is the same as the graph of the other, or put in another words, let's say the graph the first one, the second one when graphed, will just be pancaked on top of the first one, and any point whatsoever on the second one, matches with the first one, and since both lines continue infinitely, then infinitely many solutions.

PLEASE HELP 12 POINTS

Answers

Answer:

Step-by-step explanation:

She has a total of 3 + 3 + 2 choices which is 8

She chooses the first one that has 3 members in it.

3/8 is the probability of that fact.

She chooses the second one from a group that also has 3 members only now there are only 7 choices total. That fact is

3/7

So your total probability is

3/8 * 3/7 = 9/56

Those two numbers are prime to one another.

The following two-way table shows the data for the students of two different grades in a school:

Member of Science Club Not Member of Science Club Total
Grade 7 20 2 22
Grade 8 20 8 28
Total 40 10 50

Based on the relative row frequency, the students of which grade are more likely to be members of the science club?


Grade 7

Grade 8

The students of both grades are equally likely to be members of the science club

No conclusion can be drawn about the chances of a student being a member of the science club

Answers

Answer: grade 7

Step-by-step explanation:

Grade 7: 20/22 students in club

Grade 8: 20/28 students in club

Grade 7 has higher % of students in science club

Answer:

Grade 7

Step-by-step explanation:

The relative row frequency of members of the Science Club is: Member of Science Club / Total

in Grade 7: 20/22 = 0.91.

And in Grade 8 is: 20/28 = 0.71.

Then, students of Grade 7 are more likely to be members of the science club.

Help me please! BRAINLIEST

Answers

Answer:

1. 53 by 58 , 222 ft

2. 321000

3.1080

4.  3.5

Step-by-step explanation:

1. 23+15+15 = 53

28+15+15= 58

53+53+58+58= 222

What is the axis of symmetry of the graph?
×=0

y=0

x=-6

x=-3​

Answers

Answer:

x=-6

Step-by-step explanation:

The axis of symmetry is the lowest (or highest) point.  It is the line where it becomes the mirror image.

Looking at the graph, this is the line x=-6

x = -6

To Solve each equation tell what you will do first to both sides
2x + 7 = 13

Answers

Answer:

First subtract 7 from each side of the equation

Step-by-step explanation:

2x+7 = 13

First subtract 7 from each side of the equation

2x+7 -7 = 13-7

2x = 6

Next divide each side by 2

2x/2 = 6/2

x=3

Answer:

X=3

The answer should have a positive sign.

Step-by-step explanation:

First, you subtract by 7 both sides of equation.

2x+7-7=13-7

Simplify.

13-7=6

2x=6

Then, divide by 2 both sides of equation.

2x/2=6/2

Simplify, to find the answer.

6/2=3

X=3 is the correct answer.

how to write the expression "subtract y from 25"

Answers

Answer:

25 - y

Step-by-step explanation:

"subtract" = "-"

"subtract y" means to "- y"

"from 25" implies that 25 is in the front.

Put the phrases together:

"subtract y from 25" = 25 - y

25 - y is your answer.

~

johns test grades in his science class are 82, 93, 75, and 89 what is his average? 1. (87.45) 2. (80.00) 3. (90.40) 4. (89.25) 5. (84.75)

Answers

First you add all the numbers together. So you add 82+93+75+89 to get 339. Once you get that, you divide it by the amount of numbers there are. In this case, it's 4. 339 divided by 4 is 84.75.

HOPE THIS HELPS!!

Answer:

The average of the John scores is 84.75.

Step-by-step explanation:

Formula of average is given as :

[tex]A=\frac{\text{Sum of all the terms}}{\text{Number of terms}}[/tex]

We have:

Test grades of John: 82, 93, 75, and 89

Number of terms - 4

Average of the score of the John;

[tex]a=\frac{82 + 93 +75 + 89}{4}=84.75[/tex]

The average of the John scores is 84.75.

How can i find the value for R

Answers

Answer:

R = 134

Step-by-step explanation:

This is a 5 sided figure.  The interior angles add to  (n – 2)180  where n is the number of sides

(5-2) * 180 = 540

Add up all the angles and set it equal to 540

R+ 78+109+113+106 = 540

Combine like terms

R + 406 = 540

Subtract 406 from each side

R +406-406 = 540-406

R = 134

Solve for x. (x - 8)(x - 8) = 0

Answers

The answer is x equals 8

Answer: x=8

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

Set the first factor equal to 0 and solve.

x−8=0

x−8=0

Which of the following terms best describes the three side lengths of the
triangle below?

Answers

Answer:

B. Pythagorean triple

Step-by-step explanation:

To prove Pythagorean triple, we must prove that

ML² + LN² = MN²

or MN = √( ML² + LN²)

= √( 9² + 12²)

= √( 81 + 144)

= √( 225)

= 15 = value of MN given in diagram (proven)

Wyatt claims that _ is equivalent to _ Which statement about his claim is true in every aspect?

Answers

Answer:

The statement that is true in every aspect regarding his claim is:

    False, because when combined in this manner, the alternating signs of the series are lost ( Wyatt ignored the negative in the first factor)Step-by-step explanation:

The series is given as:

[tex]\sum_{n=0}^{3} (-\dfrac{1}{3})^n\cdot 9[/tex]

which could also be written by:

[tex]\sum_{n=0}^{3} (-\dfrac{1}{3})^n\cdot 9=\sum_{n=0}^{3} (-\dfrac{1}{3})^n\cdot 3^2\\\\\\\sum_{n=0}^{3} (-\dfrac{1}{3})^n\cdot 9=\sum_{n=0}^{3} (-1)^n(\dfrac{1}{3})^n\cdot 3^2[/tex]

i.e.

[tex]\sum_{n=0}^{3} (-\dfrac{1}{3})^n\cdot 9=\sum_{n=0}^{3} (-1)^n\cdot 3^{-n}\cdot 3^2\\\\\\\sum_{n=0}^{3} (-\dfrac{1}{3})^n\cdot 9=\sum_{n=0}^{3} (-1)^n\cdot 3^{2-n}[/tex]

which is not equivalent to: [tex]\sum_{n=0}^{3} 3^{2-n}[/tex]

Since,  on expanding the actual series we get the sum as:

[tex]\sum_{n=0}^{3} (-\dfrac{1}{3})^n\cdot 9=(-\dfrac{1}{3})^0\cdot 9+(-\dfrac{1}{3})^1\cdot 9+(-\dfrac{1}{3})^2\cdot 9+(-\dfrac{1}{3})^3\cdot 9\\\\\\=9-\dfrac{1}{3}\times 9+\dfrac{1}{3^2}\times 9-\dfrac{1}{3^3}\times 9\\\\\\=9-3+1-\dfrac{1}{3}\\\\\\=\dfrac{22}{3}[/tex]

Now, the expansion of:

[tex]\sum_{n=0}^{3} 3^{2-n}[/tex] is:

[tex]\sum_{n=0}^{3} 3^{2-n}=3^2+3^1+3^0+3^{-1}\\\\\\=9+3+1+\dfrac{1}{3}=\dfrac{40}{3}[/tex]

Answer:

D in short

Step-by-step explanation:

Ed2021

Sarah fenced in her backyard. The perimeter of the yard is 18 feet, and the width of the yard is 4 feet. Use the perimeter formula to find the length of the rectangular yard in inches: P = 2L + 2W.
96 in.
60 in.
10 in.
5 in.

Answers

So first step would be convert 18 feet to inches, so 18 x 12 = 216Next step would be convert 4 feet to inches, so 4 x 12 = 48You then substitute these values into the perimeter formula, so 216 = 2L + (48 x 2)You then simply that to 216 = 2L + 96Then subtract 96 from both sides to get 120 = 2LAnd then divide both sides by two, and you'll get 60 = L

And so your answer should be 60 inches, hope this helps c:

Answer: Its B

Step-by-step explanation:

What are the slope and the y-intercept of the linear function that is represented by the graph?

Answers

Answer:

1st option

Step-by-step explanation:

By observation, we can see that the graph crosses the y-axis at y = -2. Therefore the y-intercept is -2.

we can also see that the graph intersects the axes at  (0,-2) and (3,0)

the formula for a linear slope when given two points (x1, y1) and (x2,y2) is given by :

m = (y2 - y1) / (x2 - x1)

In our case, x1 = 0, y1 = -2, x2= 3 and y2 = 0

hence m = (0 - (-2)) / (3-0) = 2/3

Hence the slope is 2/3

Only option 1 satisfies the values for both y-intercept and slope that we calculated.

Answer:

A) The slope is 2/3 and the y intercept is -2

Step-by-step explanation:

This is the correct answer for edge

What value is bigger. .65 or 3/5

Answers

Answer:

0.65 > 3/5

Step-by-step explanation:

3/5 is 0.6 in fraction form

0.65 is greater than 0.6.

Therefore, 0.65 is greater than 3/5.

hope this helps!

What is the volume of a cardboard box that measures 1 inch by 5 inches by 7 inches?

The volume of the cardboard is __________ cubic inches.

Enter your answer as the number that correctly fills in the blank in the previous sentence. If necessary, round your answer to the nearest tenth, like this: 42.5

Answers

Answer:

35 cubic inches

Step-by-step explanation:

V= lwh

1*5*7= 35

Answer:

The answer is 35 cubic inches.

Step-by-step explanation:

For volume problems (with prisms, such as cardboard boxes) all you have to do is multiply all the dimensions, height, width, and length.

Which of the following shows the true solution to the logarithmic equation below?
log(x)+ log(x+5) = log(6x +12)
©
X=-3
x=4
X=-3 and x = 4
X=-3 and x=-4

Answers

Answer:

x = 4.

Step-by-step explanation:

log(x) + log(x+5) = log(6x +12)

log x(x +5) = log(6x + 12)

Therefore x(x + 5)= 6x +12

x^2 + 5x - 6x - 12 = 0

x^2 - x - 12 = 0

(x - 4)(x + 3) = 0

x = -3, 4.

logs of negative values do not exists so the anser is x = 4.

©

The value of x  is -3 , 4 ; option C is the solution to the equation

What is an Equation ?

An equation is a mathematical statement between two algebraic expressions equated by an equal sign.

A logarithm equation is given in the question.

log(x)+ log(x+5) = log(6x +12)

The equation of Logarithm says

log (x .y) = log x + log y

From the equation

log(x)+ log(x+5) can be written as log (x(x+5))

log (x(x+5)) = log(6x +12)

We can relate this as

(x(x+5)) = 6x +12

x² + 5x = 6x +12

x² -x -12= 0

x² -4x +3x -12 = 0

x (x-4)+3(x-4) = 0

(x+3)(x-4) = 0

x = -3 , x=4

Therefore the option C is the solution to the equation

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please divide 4⁄6 ÷ 2⁄6

Answers

4/6 divided by 2/6 is 2.

you multiply the 4/6 by 6/2 to get 24/12. You then simplify it and get 2 as your answer.

Other Questions
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