For f(x) = 3x^3 - 9x^2 - 5x + 2

A. Find f(-1)

B. Find f(2)

Answers

Answer 1

Answer:

(3x2 + 3x - 1) • (x + 2)

Step-by-step explanation:

3.4 Polynomial Long Division

Dividing : 3x3+9x2+5x-2

("Dividend")

By : x+2 ("Divisor")

dividend 3x3 + 9x2 + 5x - 2

- divisor * 3x2 3x3 + 6x2

remainder 3x2 + 5x - 2

- divisor * 3x1 3x2 + 6x

remainder - x - 2

- divisor * -x0 - x - 2

remainder 0

Quotient : 3x2+3x-1 Remainder: 0


Related Questions

hi i need help ill give brainlyest

Answers

Answer: 48.

Step-by-step explanation: The minimum value with box and whisker plots is at the very tip of the whisker at the left side.  48 is at the the tip of the left whisker.  Therefore, that's your answer.

Hope this helps! :)

solve pls don't spam for marks​

Answers

1. Commutative property of addition

2. Commutative property of multiplication

the product will stay the same

Answer:

the first answer is commutative property of addition and the second answer is commutative property of multiplication

Step-by-step explanation:

hope this helps

have an awesome day -TJ

if you need anymore help just let me know

pls mark brainliest :)

the length of a rectagle is twice its width. if the perimeter of the rectangle is 36in, find its length and width

Answers

Answer:

6*2=12

if length is 12 half it would be 36

Answer:

width = 6in

length = 12in

Step-by-step explanation:

If we call the width x, the length has to be 2x and so...

x + 2x + x + 2x = 36 (this can be simplified to ↓)

6x = 36 (if you divide both sides by 6...)

x = 6

This means that the width of the rectangle is 6in and so the length is 12in.

Hope this helps!

here is it not sure if you will spot it

Answers

i dont understand your question

Answer:

[tex]f(x)=-5x^2+20x[/tex]

8.75 m

Step-by-step explanation:

Given ordered pairs:  (0, 0) (1, 16) (2, 20) (3, 15.5) (4, 0)

From inspection, we can see that the difference in the x-values is constant (they increase by 1 each time), yet the difference in the y-values is not constant.  Therefore, the relation is not linear.

As the y-values increase from 0 to 20 and then decrease back to 0, the curve is likely to be a parabola opening downwards.

The x-intercepts are at x = 0 and x = 4, so this suggests that the axis of symmetry is x = 2, and so the vertex is (2, 20).

Creating an equation using the x-intercepts:

[tex]f(x)=a(x-0)(x-4)[/tex]  where [tex]a[/tex] is some constant

[tex]\implies f(x)=ax(x-4)[/tex]

[tex]\implies f(x)=ax^2-4ax[/tex]

Creating an equation using the vertex form:

[tex]f(x)=a(x-2)^2+20[/tex]

[tex]\implies f(x)=ax^2-4ax+4a+20[/tex]

Equating constants to determine a:

[tex]4a+20=0 \implies a=-5[/tex]

Therefore, equation of best fit: [tex]f(x)=-5x^2+20x[/tex]

When x = 0.5:

[tex]\implies f(0.5)=-5(0.5)^2+20(0.5)[/tex]

                 [tex]=-1.25+10[/tex]

                 [tex]=8.75[/tex]

Therefore, an estimate for the height of the rocket 0.5 s after it's launched is 8.75 m

What value in place of the question mark makes the polynomial below a perfect square trinomial?

x^2 + 24x + ?

A. 24

B. 48

C. 144

D. 12

Answers

Answer:

144

Step-by-step explanation:

[tex]x^2+24x +144\\\\=x^2 + 2\cdot 12x +12^2\\\\=(x+12)^2[/tex]

Rewrite the equation by completing the square. X^2-14x+40=0

Answers

Answer:

(x – 7)² – 9

Step-by-step explanation:

I hope this helps

if julie make 18 baskets how many baskets does kari make how many baskets do they make in all

Answers

Answer:

18x

Step-by-step explanation:

j=18

k=x

18xor18

I do not understand this question

Cody wanted to give each of his forty-five friends an equal amount of candy. At the store he bought six hundred eighty pieces total to give to them. How many more pieces should he have bought so he didn't have any extra pieces?​

Answers

Divide total bought by number of people first:


680 / 45 = 15.111


round up to 16. Multiply 16 by 45:

45 x 16 = 720

He should have bought 720 pieces. Now by Tracy to find how many more pieces:

720 - 680 = 40

He should have bought 40 more pieces.

Please help plsssssss

Answers

Answer:

Box 1. 2x

Box 2. -13 (1/3) or (-40/3)

Box 3. 2x

Box 4. (2/3)x

Box 5. 3

Box 6. 3

Box 7. -20

Box order left to right.

Step-by-step explanation:

(5/3)x + (1/3)x = 13 (1/3) + (8/3)x

add numberator ( top number ); keep the denominator the same ( bottom number )

Line 1. (6/3)x or 2x = 13 (1/3) + (8/3)

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

Line 2. -13 (1/3) = (8/3)x - 2x

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

Ex. 3 × (-13) = 39 - 1 = (-40/3)

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

Line 3. (-40/3) = (2/3)x

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

Line 4. (3) (-40/3) = (2/3)x (3)

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

               -40 = 2x

               ÷2     ÷2

Line 5.    -20 = x

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

Sorry if this is a little confusing. I hope this helped!

Step-by-step explanation:

2

-13/1/3 ; 2

2/3

3 ; 3

-40

hope it help

Can somebody please help me thank you

Answers

Answer: <

Step-by-step explanation:

53688 < 53689

< means less than
Hence it is read as 53688 is less than 53689

true or false? multiplying the parent linear function by 3/4 results in vertical stretch

Answers

Transformations of Functions

f(x) ⇒ a*f(x)

This results in a vertical stretch, or compression.

When a > 1, we refer to this as a vertical stretch by a factor of a.When 0 < a < 1, we typically refer to this as a vertical compression by a factor of [tex]\dfrac{1}{a}[/tex].*

*There are multiple correct answers when asked about a, or vertical stretches/compressions.

Let's say we're given [tex]\dfrac{1}{2}f(x)[/tex]. In this case, 0 < a < 1.

We could say the following:

f(x) underwent a vertical stretch by a factor of [tex]\dfrac{1}{2}[/tex].f(x) underwent a vertical compression by a factor of 2.

Both of the above responses are correct.

Solving the Question

We're given:

We multiply the parent function by [tex]\dfrac{3}{4}[/tex].

In this case, 0 < a < 1.

This results in a vertical stretch by a factor of [tex]\dfrac{3}{4}[/tex].This results in a vertical compression by a factor of [tex]\dfrac{4}{3}[/tex].

Answer

True and false. Yes, we did modify the vertical stretch factor of the function to induce a type of vertical stretch. No, it is not a vertical stretch per se, but it is rather a vertical compression.

A store pays $25 for an encyclopedia. The store marks up the price by 40%. What is the amount of the mark-up?​

Answers

10%

40 divided by 100 = 0.4
25 • 0.4 = 10

Karen had 200 after spending y pesos on a notebook,she bought 4 colored pens with the rest of her money,what was the price of each pen if. Y=80

I need it know

Answers

Answer:

30 pesos

Step-by-step explanation:

Given

Had 200 pesos originallyspends 'y' pesos on a notebookBought 4 colored pens with the rest of the money

Solving

Let money of the pen = x, money of notebook = y4x + y = 2004x + 80 = 2004x = 120x = 30 pesos

Which of the following binomials is a factor of the trinomial below?
x^2-5x-24

Answers

Answer:

(x-8) and (x+3)

Step-by-step explanation:

To find the binomials of the trinomial, we just need to factor in the trinomial.

First,

x² -5x - 24

Then split it, so the terms add to -5 and multiply to -24

x² +3x -8x - 24

Then factor x in the first part, and -8 in the second part.

x(x+3) - 8(x+3)

Factor again

(x-8)(x+3)

Answer:

Step-by-step explanation:

Factorize 24. When we add the factors, we have to get (-5) and we multiply we have to get (-24).

So, the factors are  3 and (-8)

When we add  3 +(-8) = -5  ; we multiply we get (-8)*3 =(-24)

Replace the middle terms with the factors.

x² - 5x - 24 = x² - 8x  + 3x - 24

                  = x(x - 8) + 3(x - 8)

                 = (x - 8)(x+3)

Jane is drawing a plan of her house. Her scale is 4 cm to 5 m. The hall is
10.5 m long. How long is the hall on her plan?
cm

Answers

Answer:

Step-by-step explanation:

Scale factor = 4 : 500

                    = 1 : 125

Let the length of hall in her plan = x cm

1 : 125 = x : 1050

[tex]\sf \dfrac{1}{125}=\dfrac{x}{1050}[/tex]

Cross multiply,

1*1050 = x*125

[tex]\sf x =\dfrac{1050}{125}[/tex]

x = 8.4 cm

The length of the hall in her plan = 8.4 cm

A rectangular shaped garden has an area of 80 square feet. The length is 5 less than twice the width. What are the dimensions of the garden?

Answers

Answer:

Width=28 1/3 Length=51 2/3

Step-by-step explanation:

1. Create an equation

x+(2x-5)=80

2. Solve

x+(2x-5)=80

3x-5=80

3x-5+5=80+5

3x/3=85/3

x=28 1/3

So, if x=28 1/3

85/3x2=170/3

56 2/3-5

So, Length=51 2/3

which of the following are polynomials

Answers

Answer:

I think so Option D is the correct answer

the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 12 units find the height of the pyramid.

Answers

If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.

How to calculate the volume of a pyramid.

Mathematically, the volume of a pyramid is given by the formula:

[tex]Volume = \frac{1}{3} \times base\;area \times height[/tex]

For the base area:

The area of a right triangle is given by:

[tex]A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}[/tex]

A = 54 square units.

Given the following data:

Volume of a pyramid = 234 units.

Side lengths of right triangle = 9 and 12 units.

Now, we can calculate the height of the pyramid:

[tex]234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}[/tex]

h = 13 units.

Read more on pyramid here: brainly.com/question/16315790

Four less than the product of seven and a
number is seventeen. What is the number?

Answers

hello!

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

First of all, let the number be u.

The product of 7 and u means you should multiply 7 times u:

[tex]\pmb{7u}[/tex]

Now, subtract 4:

[tex]\pmb{7u-4}[/tex]

This expression equals 17:

[tex]\pmb{7u-4=17}[/tex]

[tex]\rule{200}{2}[/tex]

[Now, let's Find the Value of u]

First, add 4 to both sides:

[tex]\pmb{7u=21}[/tex]

Now, divide both sides by 7:

[tex]\pmb{u=3}[/tex]

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

notes:-

Hope everything is clear; if you need any clarification /explanation, kindly let me know, and I will comment and/or edit my answer :)

express the confidence interval 0.255 plus or minus 0.045

Answers

Answer:

0.255+45=0.300

or

0.255 - 0.045 = 0.210

No Calculator Let gbe a twice-differentiable function. The function g and its derivatives have the properties indicated in the table above. 0 0​

Answers

Hi there!

Part D:

We can use the Taylor Polynomial expansion for a second-degree polynomial:

[tex]P_3(x) = g(c) + \frac{g'(c)}{1!}(x - c) + \frac{g''(c)}{2!}(x - c)^2[/tex]
Where c is the value that the polynomial is centered about.

We are given that:
[tex]g(c) = 1\\\\g'(c) = 0\\\\g''(x) = 2[/tex]

Therefore:
[tex]P_3(x) = 1 + \frac{0}{1}(x - 2) + \frac{2}{2!}(x - 2)^2\\\\\boxed{P_3(x) = 1 + (x - 2)^2}[/tex]

Sketch a graph of − 3 x − y = − 4

Answers

Answer:

Step-by-step explanation:

What is the standard deviation of data set? 6,4,9,5,5,4,5 Round the answer to the tenths place.

Answers

Answer:

1•7

Step-by-step explanation:

Answer Accorfing ti te pasaje we no get:

A square 16 cm on a side. Use this scale: Side of a
square = 2 cm.

Answers

The area of the scale drawing given the scale of the square is 64cm^2.

What is the area of the scale drawing?

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

Dimensions of the scale drawing =  original dimensions / scale of the drawing

16 cm / 2 = 8cm

Area = 8 x 8 = 64cm^2

A square 16 cm on a side. Use this scale: Side of a square = 2 cm. Find the area of the scale drawing.

To learn more about scale drawings, please check: https://brainly.com/question/26388230

.

Jennifer is a wedding planner. She set up six chairs at each table for the reception. If t represents the number of tables, which of the following expressions represents the total number of chairs that she set up?
A. 6 + t
B. t + 6
C. 6t
D. t - 6

Answers

Answer: C. 6t

Step-by-step explanation:

T is unknown, but because you are only asked for the equation to figure out the total,  you simply multiply the 6 chairs per t, or table together, 6t

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer:

(A) :

[tex]y = - \frac{5}{2} x + 40[/tex]

(B) : it is a decreasing linear graph. this means that the amount Shikita owes is lesser by $2.50 amount each week

Step-by-step explanation:

shown in the attatchment

Estimate by rounding each decimal to the nearest whole number. 5.85+23.24

Answers

Answer:

Step-by-step explanation:

Help..........................

Answers

Hello! I believe your answer is x= -4 so B

===

Hope this helps and feel free to give feedback

Answer:

x = -4

Step-by-step explanation:

(This is a multiple choice question)Suppose you are rehearsing for a dance competition and you fall and hurt your shoulder. At the hospital, they take X-rays, consult a shoulder specialist, and give you a stabilizer brace. You pay a $50 co-pay at the time of service, and the ER bills your insurance company for the rest. The total hospital bill is $3,720. The table below shows the payment structure for your health insurance policy. If the injury happened in July, what is your total paid in monthly premiums?

A. 1,050$

B. 150$

C. 900$

Answers

C is the answer your welcome

i need help finding x and y​

Answers

Answer:

x is 5 and y is 6

Step-by-step explanation

we find 2/3 factors that equal 10. 2 and 3. the only other number that can be added that equals 10 is 5. i apply the same logic to y

Answer:

Y -- 6

X -- 5

Step-by-step explanation:

we first find y by finding the side that is the longest that is parallel to y (16) we also find that two sets of fives are also parallel to y and 16 as seen in the first screenshot. Then to find the missing value we will subtract the 5 two times from 16 to find y. 16 - 5  = 11 - 5 = 6.

we do the same thing to find x, (10 - 2 = 8) (8 - 3 = 5) X = 5

Other Questions
A solid cylindrical disk has a radius of 0.15 m. It is mounted to an axle that is perpendicular to the circular end of the disk at its center. When a 50-N force is applied tangentially to the disk, perpendicular to the radius, the disk acquires an angular acceleration of 110 rad/s2. What is the mass of the disk? As the lead coder for a large physician practice, you notice that a couple of the coders are not following theofficial coding guidelines. What steps should you take to ensure accurate coding? Which presidential candidate ran against george w bush in 2004 answers outline the negative impact of droughts on the economy of South Africa how does bear respond to danger? What are the seasonal changes in the weasel in florida and the weasel in wyoming Which statement best describes a major theme of letters from a slave girl What is the slope-intercept form of 11x-13y=39? Which of the following is the correct way to transcribe this according to ourClean Verbatim Style Guide?A) I'm not gonna lie. It's not easy to do.R) I'm not going to lie. It's not easy to do. A teacher of a dance class collected data and created a histogram as shown.Which statement accurately describes the information in the graph?A.The data describes the ages of the teachers of an art class.B.The data describes the ages of the students in an art class.C.The data describes the ages of the students in a dance class.D.The data describes the ages of the teachers of a dance class. How does tan build a central idea of her story in the excerpt? tan presents factual evidence to support the idea that the english language provides fewer opportunities for expression than other languages. tan expresses an opinion to support the idea that people who speak nonstandard forms of english are unfairly judged in negative ways. tan tells a story to support the idea that people who speak nonstandard forms of english are unable to communicate effectively. tan discusses the limits of writing in english to support the idea that authors learn other languages to express their ideas more fully. Answer my question #2 Mrs. o'brien used a compass to draw two circles on a coordinate plane. circle a is centered at (3,-1)and has a radius of 4 units. circle b is centered at (4, 5) and has a radius of 3 units. select all of thetransformations that can be performed on circle a to prove that it is similar to circle b. What is the equation of the parabola with focus (0, 1/2) and directrix y= -1/2 What is the outlier for the data set?Heart Rate5 0 76 3 5 6 8 87 0 289 05 0 = 50 beats per minute40506890 Which of the following expresses a possible theme for "The Cremation of Sam McGee"?A-People never lose their longing for home.B-Gold prospecting isn't for everyone.C-We sometimes regret the promises we make.D- Some people just can't tolerate cold weather. Do you believe that the spread of communism was a huge threat to American Democracy? Solve for h.2 < -19 - 7h 16. What are the two classes of pure substances?A. Atoms and molecules B. Solutions and mixturesC. Liquids and gasesD. Elements and compounds True or false By the year 80 BCE, the Romans had started voyages from Egypt to India, essentially creating one of the biggest commercial spice centers in the world.