f(x)=x3+8x2+5x−50 factored

Answers

Answer 1

Answer:

[tex](x+5)^{2} (x-2)[/tex]

Step-by-step explanation:

1) Factor [tex]x^3} +8x^{2} +5x-50[/tex] using polynomial division.

[tex](x^{2} +10x+25)(x-2)[/tex]

2) Rewrite [tex]x^{2} +10x+25[/tex] in the form [tex]a^{2} +2ab+b^{2}[/tex], where a = x and b = 5.

[tex](x^{2} +2(x)(5)+5^{2} )(x-2)[/tex]

3) Use Square of Sum: [tex](a+b)^{2} =a^{2} +2ab+b^{2}[/tex].

[tex](x+5)^{2} (x-2)[/tex]


Related Questions

in a toy store, the ratio of action figures to teddy bears 6 to 2. if the store has 320 total toys, how many teddy bears are there in the store?

Answers

6:2
3:1
18:6
24:8
240:80

There are 80 teddy bears

Jennifer has run many marathons and keeps track of all of her finishing times. At a marathon last month, she finished in 350 minutes. The other day, she ran another marathon and finished with a time of 406 minutes. What is the percent of increase in Jennifer's marathon time?

Answers

Answer:

16%

Step-by-step explanation:

406 / 350 = 1.16

406 is 116% of 350

so 350 + 16% is 406

because 350 * 0.16 = 56

56 is 16%

350 + 56 = 406

:)

HELP HELP


Write the equation of the parabola in vertex form.

vertex (0,3), point (1, - 4)

f(x) =

(Simplify your answer.)

Answers

Answer:

Equation of the parabola: y = 3 - 7x^2

Step-by-step explanation:

The equation of the parabola with vertex (h,k) is y = a(x - h)^2 + k

Thus, the equation of this parabola is  y = ax^2+3

To find a, use the fact that the parabola passes through the point (1,−4):

-4 = a(1)^2 +3

Solving this equation, we get that a = −7.

Thus, the equation of the parabola is y = 3 − 7x^2.

can someone please help me with this

Answers

Answer:

∠ R = 58° , ∠ Q = 32°

Step-by-step explanation:

Complementary angles sum to 90°

∠ Q is 26° less than ∠ R , so ∠ Q = ∠ R - 26° , then

∠ Q + ∠ R = 90° , that is

∠ R - 26° + ∠ R = 90°

2 ∠ R - 26° = 90° ( add 26° to both sides )

2 ∠ R = 116° ( divide both sides by 2 )

∠ R = 58°

∠ Q = 58° - 26° = 32°

Porsha calculates the amount of money she will have at the end of 6 years on a $5,000 investment earning 3.75% interest compounded quarterly. She writes the following expression:5,000 (1 + 0.0375) superscript 24Which of the following statements about Porsha's expression is true?a.Porsha's expression is correct.b.Porsha's expression should have 1 + 0.009375 in the parentheses.c.Porsha's expression should have an exponent of 6, not 24.d.Porsha's expression should have both 1 + 0.009375 in the parentheses and an exponent of 6.

Answers

Using the compound interest formula, it is found that the correct option is:

b. Porsha's expression should have 1 + 0.009375 in the parentheses.

Compound interest:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

In this problem:

Investment of $5,000, thus [tex]P = 5000[/tex].Interest rate of 3.75%, thus [tex]r = 0.0375[/tex].6 years, thus [tex]t = 6[/tex]Compounded quarterly, thus [tex]n = 4[/tex].

Then, the amount is:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(t) = 5000(1 + \frac{0.0375}{4})^{4(6)}[/tex]

[tex]A(t) = 5000(1 + 0.009375)^{24}[/tex]

Thus, her error is in the parentheses, and the correct option is:

b. Porsha's expression should have 1 + 0.009375 in the parentheses.

A similar problem is given at https://brainly.com/question/25195489

Two friends, Bart and Claudia, purchased concessions at a basketball game.

Bart purchased 2 drinks and 2 candy bars for a total of $5.00.
Claudia purchased 1 drink and 4 candy bars for a total of $4.75.
Which statement is true?


Drinks cost $1.75 each, and candy bars cost $0.75 each.
Drinks cost 1 point 7 5 dollars each, and candy bars cost 0 point 7 5 dollars each.

Drinks cost $0.75 each, and candy bars cost $1.75 each.
Drinks cost 0 point 7 5 dollars each, and candy bars cost 1 point 7 5 dollars each.

Drinks cost $1.25 each, and candy bars cost $1.25 each.
Drinks cost 1 point 2 5 dollars each, and candy bars cost 1 point 2 5 dollars each.

Drinks cost $1.00 each, and candy bars cost $0.75 each.

Answers

The Drink cost $1.75 each, and candy bars cost $0.75 each.

let

The price of a drink = x

The price of a candy bar  = y

Bart total purchase

2x + 2y = 5

Claudia total purchase

x + 4y = 4.75

The cost of each can be calculated by combining the equations. Therefore,

2x + 2y  = 5

x + 4y = 4.75

x = 4.75 - 4y

2(4.75 - 4y) + 2y = 5

9.5 - 8y + 2y = 5

9.5 - 6y = 5

-6y = -4.5

y = -4.5/-6

y = 0.75

2(0.75) + 2x  = 5

1.5 + 2x = 5

2x = 5 - 1.5

2x = 3.5

x = 3.5/2

x = 1.75

Cost of a drink = $1.75

Cost of a candy bars = $0.75

Get more information here: https://brainly.com/question/12471733?referrer=searchRes

(7g - 6) - (-3n – 4) =​

Answers

Answer:

7g + 3n - 2

Step-by-step explanation:

when you subtract you 'add the opposite'; subtracting a negative is the same as adding a positive

for example, using the above statement we can rewrite the problem as:

7g - 6 + 3n + 4

we can combine -6 and 4 to get -2

7g + 3n - 2 or 7g + 3n + (-2)

What does this equal? Show your work pls

Answers

Answer:

can u show us the question

Step-by-step explanation:

Is my WiFi tripping or there’s no questions

a basketball player makes 140 out of 350 free throws. find the percent by using equivalent fractions​

Answers

Answer:

140/350 = 14/35 = 2/5 = 40/100 = 40%

Step-by-step explanation:

I hope this helps

<3

ILL GIVE BRAINILEST TO WHEVER ANSWERS

Answers

4(4x-4)+x+4=-46
First you distribute.
16x-16+x+4=-46
Then combine like terms.
17x-12=-46
-12 -12
17x= -58

The final answer is -58/17 or -3.412

What is the correct standard form for 500 + 6 + 0.09 + 0.003.

Answers

Answer:

Your answer is 506.093.

Step-by-step explanation:

Hope this helps!

State any two types of natural vegetation?

Answers

Answer:

forest, tundra, and grasslands

What is the missing side length of this right triangle? Type the answer in the box.
13 in.
5 in.
х
1

Answers

Answer:

12 in

Step-by-step explanation:

Using Pythagoras' theorem in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the missing side , then

x² + 5² = 13²

x² + 25 = 169 ( subtract 25 from both sides )

x² = 144 ( take square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

5x + y over A equals 2, solve for x

Answers

Answer:

2+y over 5

Step-by-step explanation:

5x + y =2

5x=2+y

x=2+y over t

I need help with constat rate of change please​

Answers

It’s 40 that’s the constant change of rate

I need help with this question. 20 points ton the person who can answer the question and make it make sense.
Why do we want the two measured angles to be equal. Why is this important?

Answers

Answer:

Because if they werent the messerue ments would be screwed and u would not be able to answer some questions

Step-by-step explanation:

also it makes a right triangle if equal

Help plsssssssssssssssssssssssssssssssssssssssssss
Hehe it’s a test for y’all the best will get full marks and 100 points with brainly

Answers

10.<

11.>

12.<

13.<

Make me as brain liest

Denzel identified (3,2) as a point on the line y-2 = 2/3 (x+ 3). What is the error Denzel made?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

He identified the incorrect x-value.

See explanation below.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{General Point-Slope Form is:}\\\\y - y_1 = m(x-x_1)\\\rule{150}{0.5}\\\\(x_1,y_1) -\text{A point that is given.}\\\\m -\text{Slope}[/tex]

⸻⸻⸻⸻

Denzel incorrectly identified the x-value of the given point.  The value '-3' is actually indicated in the equation. If you plug in '-3' into the equation, you would get '-(-3)', which simplifies to '+3'.

⸻⸻⸻⸻

[tex]y-2 = \frac{2}{3} (x-x_1)\rightarrow y-2 = \frac{2}{3} (x-(-3))\rightarrow y-2=\frac{2}{3} (x+3)[/tex]

⸻⸻⸻⸻

The point in the equation should be: (-3, 2).

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

The correct points of the line will be (-3,2).

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the point (3,2) is on the line y-2 = 2/3(x+ 3). Satisfy the equation with the given point and check.

y-2 = 2/3(x+ 3)

2-2 = (2/3)(3 + 3)

0 = 4

To make left hand side and right hand side equal the value of x coordinate should be -3.

y-2 = 2/3(x+ 3)

2-2 = (2/3)(3 + 3)

0 = 0

Therefore, the correct points of the line will be (-3,2).

To know more about an equation of the line follow

brainly.com/question/18831322

#SPJ5

4x + b = 2x + c, solve for x

Answers

Answer:

[tex]4x + b = 2x + c \\ 4x - 2x = c - b \\ 2x = c - b \\ \\ x = \frac{c - b}{2} \\ \\ x = \frac{c}{2} - \frac{b}{2} [/tex]

I hope I helped you^_^

Tonya has 5/8 yards of ribbon and is sharing it with Terri by cutting it in half. How much ribbon will each girl have?

Answers

Answer:

5/16

Step-by-step explanation:

you can't split 5 in half, so you need to multiply the fraction to make it so you can split it in half. Multiply the equation by 2

5/8 * 2=10/16

now you can divide it by two to get 5/16

Hope this helps!

PLS HELP ASAP WILL MARK BRAINLEIST

Answers

Answer:

a^8

I hope this is the correct answer

have a great day

Answer:

Step-by-step explanation:

(a².a³.(a-¹)²)

a²+³.a-¹×2

a⁵.a-²

a⁵+(-²)

a⁵-²

MARKING BRAINLEIST + 20 POINTS PLEASE HELP IS DUE TODAY

Answers

Answer: The slope is 1.5. The equation of the line is y=1.5x+3

Step-by-step explanation:

Slope is the "Rise" over the "Run" of a line. The rise is the change in y. The run is the cange in x. Take any two points. I picked (0,3) and (4,9) since they were clearly on whokle number lines. The rise is (9-3) or 6. The run is (4-0) or 4. Rise/Run = 6/4 or 1.5. The y intercept is at 3 (the value of y when x=0). The full line equation is thus y = 1.5x+3.

Consider randomly drawing two students without replacement from a class of 40 students in which 3 are left handed. Below is a tree diagram illustrating that the probability of selecting 2 left handed students is 1/260. Calculate the probabilities labeled on the tree diagram

Answers

Answer:

a. 3/40

b. 37/40

c. 2/39

d. 37/39

e. 3/39

h. 36/39

k. 1/260

m. 37/520

n. 37/520

w. 111/130

Step-by-step explanation:

First person:

a. 3/40

b. 37/40

_____

Second person:

left-handed branch of tree diagram: since the first person was left-handed, it means there is one less left-handed person, and one less person for the total

c. 2/39

d. 37/39

not left-handed branch of tree diagram: since the first person wasn't left-handed, there are still 3 left-handed people, and there is one less person for the total.

e. 3/39

h. 36/39

_____

for the final probabilities, just multiply along the tree branches:

k = a × c = 1/260

m = a × d = 37/520

n = b × e = 37/520

w = b × h = 111/130

what is the slope of the line that contains the points (-1,6) and (2,-3)

Answers

Answer:

-1,3

Step-by-step explanation:

calculate the range of the following numbers: 11,13,15,9,19,12,21,14,10,15,16,8,11,11,10​

Answers

Answer:

it should be 13

Step-by-step explanation:

Answer:

The Range is 13

Step-by-step explanation:

Mean (Average): 13

Median: 12

Range:13

Largest: 21

Smallest: 8

Sum: 195

Count: 15

(Hope this helps can I pls have brainlist (crown)☺️

Please help I will give Brainiest if correct!
What is the rate of change?

Answers

Answer: 2 is the correct answer I am 100% positive

Step-by-step explanation:

Answer: the rate of change is 2

Step-by-step explanation:

4 x 4 x 4 x 5 x 5
With index notation?

Answers

Answer:

4^3 x 5^2

Step-by-step explanation:

Index notation just makes the numbers being multiplied by themselves easier to read.

Answer:

4³×5²

Step-by-step explanation:

chill bro it's basic

Write an equation in slope-intercept form for the line described. Write the slope and y-intercept as fractions, if necessary. passes through (6, 2), parallel to y = -}x+1

Answers

So, using what I’m being given:

The slope of your answer will be whatever number is supposed to be in front of the x (assuming you hit the close brace on accident the same time you hit the minus sign, I’m gonna assume you meant to put -x+1) making the slope of your answer -1.

So you have y=-x+b

To find b, plug in (6,2)

2 = -(6) + b
8 = b

So, your answer would be

y = -x + 8

Otherwise, whatever is suppose be in front of the x,

y = -mx + (2+6m)

1.
67°
mZ1
|

Find each angle measure

Answers

Answer:

acute angle

Step-by-step explanation:

If you receive $68 for mowing lawns for 8 hours. What would be the equation to find out how much money you would receive in an hour?

Answers

Answer:

$68÷8= x money per hour

Step-by-step explanation:

Other Questions
What is 4 plus 3 plus 6 plus 10 Look at the image, read, and choose the correct option.Monday, Feburary 7th Granada Da de la IndependenciaFriday, Feburary 27th Repblica Dominicana Da de la IndependenciaTuesday, March 14th San Vicente y las Granadinas Da de los HroesSunday, March 17th Montserrat Fiesta de San PatricioThursday, March 18 Aruba Da de la Bandera y del Himno nacionalQu da es el Da de la Independencia in the Dominican Republic? Es el 7 Lunes de Febrero Es el viernes, 27 de febrero Es febrero, el viernes 27 Es el lunes, 7 de febrero. plsssssssssssss answer QUWX is a field in the shape of a Trapezium whose parallel sides are 121m and 56m and the non parallel sides are 82m and34m. find the cost of ploughing the field at Rs 14.89 per square kilometre.(help with this one) Hopping is performed on 2 feet True False can somebody please helpppp??? Donald can type 240 words in 6 minutes. How long will it take him to type a 1000-word essay if he types at the same rate? (Pls I need help) A diagram of chloroplast stroma and thylakoid lumen showing chemical energy, ferredoxin, ferredoxin-N A D p reductase, A D P synthase, and oxygen-evolving complex. Photosynthesis converts light energy to chemical energy. Which molecules are the end product of this transformation of energy in this reaction? ADP and NADPH ADP and NADP ATP and NADPH ATP and NADP describe the relationship between the mass of the ice and the transfer of thermal energy in the investigation. Use evidence and scientific reasoning to support your answer. (Use the following words: Molecules, Kinetic Energy, and Heat.PLEASE HELP SOMEONE HELP WITH THIS PLEASE!! PLEASE HELP WITH THIS ONE QUESTION convert into future tense. 1. I visited Japan last year. 2. The wound healed slowly. 3. How often do you hear from her? 4. I have got a new car. 5. He drank himself to death. 6. He went from door to door selling books. 7 Which horse came in first? 8. This is needless trouble. An Excerpt from Optimismby Helen Keller1 Could we choose our environment, and were desire in human undertakings synonymous withendowment, all men would, I suppose, be optimists. Certainly most of us regard happiness asthe proper end of all earthly enterprise. The will to be happy animates alike the philosopher, theprince and the chimney-sweep. No matter how dull, or how mean, or how wise a man is, he feelsthat happiness is his indisputable right.2 It is curious to observe what different ideals of happiness people cherish, and in what singularplaces they look for this well-spring of their life. Many look for it in the hoarding of riches, somein the pride of power, and others in the achievements of art and literature; a few seek it in theexploration of their own minds, or in the search for knowledge.3 Most people measure their happiness in terms of physical pleasure and material possession.Could they win some visible goal which they have set on the horizon, how happy they would be!Lacking this gift or that circumstance, they would be miserable. If happiness is to be someasured, I who cannot hear or see have every reason to sit in a corner with folded hands andweep. If I am happy in spite of my deprivations, if my happiness is so deep that it is a faith, sothoughtful that it becomes a philosophy of life,if, in short, I am an optimist, my testimony tothe creed of optimism is worth hearing....4 Once I knew the depth where no hope was, and darkness lay on the face of all things. Thenlove came and set my soul free. Once I knew only darkness and stillness. Now I know hope andjoy. Once I fretted and beat myself against the wall that shut me in. Now I rejoice in theconsciousness that I can think, act and attain heaven. My life was without past or future; death,the pessimist would say, a consummation devoutly to be wished. But a little word from thefingers of another fell into my hand that clutched at emptiness, and my heart leaped to therapture of living. Night fled before the day of thought, and love and joy and hope came up in apassion of obedience to knowledge. Can anyone who has escaped such captivity, who has feltthe thrill and glory of freedom, be a pessimist?5 My early experience was thus a leap from bad to good. If I tried, I could not check themomentum of my first leap out of the dark; to move breast forward is a habit learned suddenlyat that first moment of release and rush into the light. With the first word I used intelligently, Ilearned to live, to think, to hope. Darkness cannot shut me in again. I have had a glimpse of theshore, and can now live by the hope of reaching it.6 So my optimism is no mild and unreasoning satisfaction. A poet once said I must be happybecause I did not see the bare, cold present, but lived in a beautiful dream. I do live in abeautiful dream; but that dream is the actual, the present,not cold, but warm; not bare, butfurnished with a thousand blessings. The very evil which the poet supposed would be a cruel6) Read the last sentence from the text.Only by contact with evil could I have learned to feel by contrast the beauty of truth and love and goodness.Explain how Helen Keller develops this idea in the text. Use specific details tosupport your answer. What might be the reasons behind drafting the Constitution through a constituent assembly after mass revolution 2062/63 Bs ? Write 4 reasons Does anybody know the answer to this question f(x)=x^3-x^2-10x-8 -39=18+4m enter your answer as a mixed number in simplest form in the box m= Read the passage from "The Tell-Tale Heart.And every night, about midnight, I turned the latch of his door and opened itoh so gently! And then, when I had made an opening sufficient for my head, I put in a dark lantern, all closed, closed, that no light shone out, and then I thrust in my head. Oh, you would have laughed to see how cunningly I thrust it in! I moved it slowlyvery, very slowly, so that I might not disturb the old man's sleep. It took me an hour to place my whole head within the opening so far that I could see him as he lay upon his bed. Ha! would a madman have been so wise as this?By visualizing the scene the reader can conclude that the narrator isgleeful.indifferent.irritated.curious. 7. What empires were fairly tolerant of other religions, and why was this significant? HELP ME PLEASE WITH THIS FRENCH. Did you tell them ?