If f(x) = -x³, g(x) = 3x² - 1, and h(x) = 2x + 5, what is the degree of [f o go h](x)?
2356

Answers

Answer 1

The degree of the polynomial formed is 6.

The degree of a polynomial is the highest degree of the variables present with non-zero coefficients.

For example the polynomial has three 7x³y²+9xy+4 terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.

Now the given functions are:

\(f(x)=x^3\) ,g(x)=3x²-1 and h(x)=2x

Now we have to find (f ° g° h)(x). Let us first find (g°h)(x).

(g°h)(x) is equal to g[h(x)]

=g[2x+5]

=3(2x+5)²-1

=3(4x²+20x+25)-1

=12x²+60x+74

Now we find (f ° g° h)(x)

(f ° g° h)(x)=f[g(2x+5)]

f[g(2x+5)]=f(12x²+60x+74)

f(12x²+60x+74)=(12x²+60x+74)³

Now we have to simplify the expression:

(12x²+60x+74)³

=\(1728x^6+25920x^5+161568x^4+535680x^3+996336x^2+985680x+405224\)

The largest degree of the variable x in the polynomial is 6.

hence the degree of [f o go h](x) is 6.

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Related Questions

I cant do simple math please help :)

I cant do simple math please help :)

Answers

Answer:

2) y= -2/3x +4

Step-by-step explanation:

2x+3y=12 convert to y=mx+b form

move over the 2x to isolate y

3y= -2x+12

divide by 3 in order to completely isolate y

y= -2/3x +4

A number cube with faces labeled 1 to 6 is rolled once.
The number rolled will be recorded as the outcome.
Consider the following events.
Event A: The number rolled is greater than 4.
Event B: The number rolled is even.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
(a) Event "A or B": {
(b) Event "A and B": {
(c) The complement of the event B:

A number cube with faces labeled 1 to 6 is rolled once.The number rolled will be recorded as the outcome.Consider

Answers

Answer:

a)  A ∪ B = {2, 4, 5, 6}

b)  A ∩ B = {6}

c)  \(\sf B^c\) = {1, 3, 5}

Step-by-step explanation:

Set notation is used in math to list numbers, objects or outcomes.

It uses curly brackets called "braces". Objects placed within the braces are the elements of the set.

The listing method of set notation simply lists the numbers in the set.

The three dots "..." means it is infinite (goes on forever).

Given:

A number cube with faces labeled 1 to 6.

Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.

Event A

The number rolled is greater than 4.

Therefore, the set of outcomes for event A is {5, 6}.

Event B

The number rolled is even.

Therefore, the set of outcomes for event B is {2, 4, 6}.

Part (a)
Event "A or B" means the outcomes in A or B or both.

⇒ A ∪ B = {2, 4, 5, 6}

Part (b)

Event "A and B" means the outcomes in both A and B.

⇒  A ∩ B = {6}

Part (c)

The complement of event B means everything that is not in B.

\(\sf \implies B^c =\) {1, 3, 5}

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express each fraction or decimal as a percent.

0.0043

5.20

3/8

7/28

Answers

Answer:

0.0043 : 0.43%

5.20 : 520%

3/8 : 37.5%

7/28 : 25%

Step-by-step explanation:

Convert each to a decimal and then multiply by 100 :)

please help me i don’t know how to do this. if you do know, please explain how you did it bc i have so many more of these to do, ty!:)

please help me i dont know how to do this. if you do know, please explain how you did it bc i have so

Answers

Answer:

Blue: y = x² + 3

Purple: y = (x + 4)²

Step-by-step explanation:

The parabolas are "transformed", meaning they have been shifted on the coordinate grid. All parabolas will have the equation of "y = x²", any additional transformation will add onto that.

Blue: Looking at the red parabola, its lowest point is only three units down from the blue's lowest points. Meaning the blue parabola went only three units up. So you only have to do the "+ 3" in the equation.

Purple: Like in blue, we're gonna look at the purple's lowest point and compare it to red's lowest point. The purple parabola seems to have shifted only four units to the left. Though, instead of adding onto the equation like in the blue parabola, any changes on the x-axis will be put into parenthesis. IN ADDITION, the sign will be the opposite of what it is on the coordinate grid. For example, the purple parabola is on the -4 of the x-axis. Instead of putting "(x - 4)", we put "(x + 4)".

Try the next two problems on your own. They will be similarly structured to the two answers above. If you need more help, lemme know. :)

Isabel has 26 cars available to rent. Let C be the number of cars she would have left after renting R of them. Write an equation relating C to R. Then use this equation to find the number of cars she would have left after renting 10 of them.

Isabel has 26 cars available to rent. Let C be the number of cars she would have left after renting R

Answers

The equation relating C to R as required in the task content is; C = 26 - R.

The number of cars left after renting 10 of them is; 16.

What is the equation relating C to R?

As evident in the task content; the total number of cars available is; 26.

Hence, after renting R cars out, it follows that the equation which represents the number of cars left, C = 26 - R.

On this note, if the number of car rentals, R = 10; we have that;

C = 26 - 10

C = 16.

Ultimately, the number of cars left, C is; 16.

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If sine theta almost-equals 0.3090 , what is the approximate value of csc Theta?
0.5559
1.3090
3.2362
10.4733

Answers

Step-by-step explanation:

csc(Theta) = 1/sin(Theta) = 3.2362

Answer:

C. 3.2362

Explanation:

Use a protractor to draw a quadrilateral so that three of its four sides measure 5 centimeters each. The angles between these sides have measures of 100° and 110° What is the length of the fourth side? o 5 cm 0 6.5 cm 0 7.5 cm O 8 cm​

Answers

The length of the third side of the quadrilateral is 7.5 cm.

Quadrilateral

A quadrilateral is a polygon that has four sides and four angles. The sum of interior angles in a quadrilateral is 360°. Types of quadrilateral are square, rectangle, rhombus, kite and so on.

Let x represent the length of the third side, hence:

x = 5 + (5 * sin(20)) + (5 * sin(10)) = 7.5 cm

The length of the third side of the quadrilateral is 7.5 cm.

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Answer:

I just took the k12 quiz its 7.5 100%

Step-by-step explanation:

Describe a real or made up but possible example of a product that went through a time of scarcity. what was likely to happen to the price of the product when it was scarce, and why? (1-3 sentences. 3.0 points)

Answers

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

If there is a low supply and a high demand, there is an increase in price and vice versa.

Last 2012, there was a virus which infected millions of chicken. It was known as Avian influenza or bird flu. It resulted to scarcity of eggs.

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

For example we can use water. If a product becomes scarce its price would increase due to supply in demand.

If drinkable water became scarce its price would be greatly increased to its need and being in extreme demand.

In short,  if there is a low supply and a high demand, there is an increase in price and vice versa.

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help this is hard for me lol

help this is hard for me lol

Answers

i have no idea what the answer is

The volume of this right circular cylinder is 64π cubic yards. If h, the height of the cylinder, is 4 yards, what is r, the radius of the base?

Answers

Answer:

h = 4 cm

Step-by-step explanation:

The formula for volume of a cylinder is

V = πr²h      where V is the volume, r is the radius, and h is the height.

We are given V = 64π, and r = 4, plug those in and solve for h

64π = π(4²)h

64π = 16πh

(64π)/(16π) = (16πh)/(16π)      (divide both sides by 16π)

4 = (16π)/(16π)h

 4 = h

Answer:

Radius = 4 yards

Solution:

Here, we are provided a right circular cylinder with :

Volume = 64 π cubic yards Height = 4 yards Radius = ?

We know that :

\( \quad\hookrightarrow\quad{\pmb{ \mathfrak { Volume = \pi r^2 h }}}\)

Therefore,

\( \implies\quad \sf{V = \pi r^2 h }\)

\( \implies\quad \sf{64\pi = \pi r^2 \times 4 }\)

\( \implies\quad \sf{ \pi r^2 \times 4 = 64\pi}\)

\( \implies\quad \sf{r^2 =\dfrac{64\pi}{\pi \times 4} }\)

\( \implies\quad \sf{ r^2 =\dfrac{\cancel{64}}{\cancel{4}}\times \cancel{\dfrac{\pi}{\pi}}}\)

\( \implies\quad \sf{ r^2 = 16}\)

\( \implies\quad \sf{r=\sqrt{16} }\)

\( \implies\quad \underline{\underline{\pmb{\sf{r= 4}}} }\)

earring fell into the sink any suggestions?​

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: Don't run the water, make sure not to touch the ring unless you are 100% sure you can get it, use a hook.

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

kerry has a box of chocolates which are all flavoured with either mint or toffee. The possible outcomes of Kerry picking two chocolates at random are shown on the tree diagram below.

If both chocolates are the same flavour, what is the probability that they are both toffee?
Give your answer as a fraction in its simplest form

kerry has a box of chocolates which are all flavoured with either mint or toffee. The possible outcomes

Answers

The statement predicts that 3/28 will be the answer.

How big is the probability universe?

In regard to quantitative measurements ranging from zero to one, the probability theory offers a way to estimate the possibility of occurrence of various occurrences coming from a random experiment. A certain occurrence has a probability of one while an impossible event has a probability of zero.

Which four forms of probability are four?

Probability is the study of random events in mathematics, and it can be classified into four main categories: logical, classic, empirical, and subjective.

According to what they meant:

the first chocolate toffee 3/8

Toffee chocolate number two: 2/7

So, 3/8 × 2/7 = 6/56 = 3/28

Thus, 3/28 is the correct response.

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If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG

B. ABCD ≅ EFGH

C. BADC ≅ EFGH

D. ADCB ≅ HGFE

If the two figures are congruent, which statement is true?A. BCDA FEHGB. ABCD EFGHC. BADC EFGHD. ADCB

Answers

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

The rectangular prism below has a length of 18 inches, a width of 24 inches, and a height of 12 inches.



What is the surface area of the prism?

1,440 square inches

1,584 square inches

1,872 square inches

2,160 square inches

Answers

Answer:

1872

Step-by-step explanation:on edge

Answer:

C) 1,872 square inches

Step-by-step explanation:

Hope this helps!

Brainliest if correct pls??

Determine whether the given value is from a discrete or continuous data set. when a truck is randomly selected, it is found to have a length of 20 feet.

Answers

The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.

The given value, "a truck with a length of 20 feet," is an example of a continuous data set.

Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.

In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).

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A town has a population of 141,300 and grows at a rate of 5% every year. Which equation represents the town’s population after 6 years?

Answers

Answer:

P=141,300(1+0.05)^6

Step-by-step explanation:

r = rate = 5/100 = 0.05

a = starting amount = 141,300

t = time = 6 years

% growth formula:

a(1+r)^t

141,300(1.05)^6

Answer:

P=141,300(1+0.05)^6

Step-by-step explanation:

r = rate = 5/100 = 0.05

a = starting amount = 141,300

t = time = 6 years

% growth formula:

a(1+r)^t

141,300(1.05)^6

Help me with 1, 3, and 5 pleasee show your work

Answers

I need a picture to answer the question

What number is greater than two third of 9by 15

Answers

Answer:

21

Step-by-step explanation:

\(\frac{2}{3}\) of 9

= \(\frac{2}{3}\) × 9

= 2 × 3

= 6

and 15 greater than 6 = 6 + 15 = 21

which equation does the graph below represent?108642-5 -4 -3 2-1021 23 454-6-8-10Ly= 2x1уX212.y. 2x

which equation does the graph below represent?108642-5 -4 -3 2-1021 23 454-6-8-10Ly= 2x1X212.y. 2x

Answers

The line passes through the point (0,0) and point (1,2).

2) You go out to breakfast and order a meal that costs $7.24
and a coffee that costs $2.65. You want to leave a 15% tip.
How much will you leave for a tip?

Answers

Amount is paid for a tip = $1.48 that is 15% of the total cost.

What is tip?

Amount of money paid by the customer himself to express the gratitude.

towards the hospitality made by the certain service sector.

How much you leave for tip?

cost of meal = $7.24

cost of coffee = $2.65

total cost including meal and coffee = $(7.24+2.65) = $9.89

tip is given by customer 15 % of total cost

the amount of tip paid = 15/100×9.89 =$1.48

The customer paid $1.48 along with total cost $9.89.

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Which expression represents the distance between 4.7 and -11.2 on the number line?

Drag and drop the correct expression into the box.

|4.7-11.2| |-11.2-4.7|

|4.7+(-11.2)|

|11.2-4.7|​

Answers

Answer:

1st option

Step-by-step explanation:

Calculate the distance using the absolute value function, that is

distance = | 4.7 - (- 11.2) | = | 4.7 + 11.2 | = | 15.9 | = 15.9

or

distance = | - 11.2 - 4.7 | = | - 15.9 | = 15.9

Answer:

The first answer

Step-by-step explanation:

I just know it was the right answer on k12

enrj rj ejnfe nkee c enmdkwmdkmwe

Answers

What is u trying to say ? Like is this a joke -

Answer:

4iowtesnV?mc

Step-by-step explanation:

Find (f0f)(81)
f(x)=sqrt{x}​,g(x)=(x−7)^2

Answers

From the given function f(x) the value of expression f(f(81)) is equal to 3.

Let's see how to find the answer to the question:

Find (f0f)(81)

In the given question, we need to find the value of (f0f)(81). This notation means (f◦f)(81).

Given that f(x)= sqrt(x) and g(x) =\((x - 7)^2\).

We know that to find (f◦f)(x), we need to evaluate f(f(x)).

This means we need to first evaluate f(x), and then evaluate f(f(x)).

To find (f◦f)(81), we need to find f(f(81)).

Using the function f(x), we find f(81):

f(81) = sqrt(81) = 9

Now, we use the function f(x) again to find f(f(81)):

f(f(81)) = f(9)

= sqrt(9)

= 3

Thus, we have found that

(f◦f)(81) = f(f(81))

= 3

Hence, the value of (f0f)(81) is 3.

Therefore, the value of (f0f)(81) is 3.

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9. If a person bikes 0.24 miles in 1 minute, how far can they bike in 45 minutes?

10. A test car went 64 miles on 2 gallons in the morning, 16 miles on ½ gallon at noon, and 32 miles on 1 gallon at 5 pm. Is the relationship a proportional relationship?

please answer properly and show or tell me all your work

Answers

Answer:

9. 10.8 miles

10. Yes

Step-by-step explanation:

To solve number 9 I multipled 0.24 x 45 to find the distance the biker can bike in 45 minutes.

Number 10 is yes because the numbers continue proportionaly. If you work it out, you can see that each half gallon takes the car 16 miles. The distances went 16 miles for 1/2 gallon, 32 miles for 1 gallon, would go 48 miles for 1 1/2 gallons, and went 64 miles for 2 gallons.

Hope it helps!

an online gardening magazine wants to understand why its subscriber numbers have been increasing. what kind of reports can a data analyst provide to help answer that questio

Answers

The analyst should provide a report addressing the following

Analyzing customer buying behaviorsAnalyzing consumer preferences using artificial intelligenceAnalyzing the number of customers by calculating daily foot trafficAnalyzing social media engagement

A sale’s affect on subscription purchases is an example of customer buying behavior analysis.

Data analysis is the process of modifying, processing, and cleaning raw data in order to obtain useful, pertinent information that supports commercial decision-making. The process offers helpful insights and statistics, frequently presented in charts, graphics, tables, and graphs, which lessen the risks associated with decision-making.

Every time we make a decision in our daily lives, we can see a basic example of data analysis by assessing what has happened in the past or what will happen if we take that action. In its simplest form, this process involves looking at the past or future and making a choice based on that analysis.

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anna had 5.00 to buy school supplies after buying 4 pencils she had 3.75 which of the following ratios shows one way to determine the unit price of the pencils

A)$5.00/4

B)$1.25/4

Answers

Answer:

B) $1.25/ 4

Step-by-step explanation:

if Anna had $5.00 to start with and after buying 4 pencils she had $3.75 left that would mean each pencil was around $1.25.

$5.00 subtract $3.75 equals $1.25

hope this helps :D

find the value of given expression

=》
\( \sqrt{26 + 10} \)

Answers

Answer:

answer is 6

Step-by-step explanation:

.............


\(( - 12) \times ( - 4) + ( - 8) + ( + 3)\)
could you help..​

Answers

\( \sf \: ( - 12 )\times( - 4) + (- 8 )+ (+ 3) \\ \sf \: = (- 12 \times - 4 )+ (- 8 + 3) \\ \sf \: = 48 - 5 \\ = 43\)

Hope it helps.

RainbowSalt2222

A right triangle and two of its side lengths are shown in the diagram. 11.9 cm 7.9 cm x cm Which measurement is closest to the value of x in centimeters?
6.3
4.0
14.3
19.8

Answers

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

How to obtain the value of x?

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

Missing Information

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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the length of a rectangle is four less than twice it’s width. If the width is 6 inches what is the length of the rectangle ?

Answers

Answer:

The question states four less than twice its width so we first find twice the width. The width is 6 and twice that is 12. Note that it says four less than, so four less than 12 is 8. so the length of the triangle is 8.

Step-by-step explanation:

Hope it helps! =D

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