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

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

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

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

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.

I need help with constat rate of change please​

Answers

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

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.

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

1.
67°
mZ1
|

Find each angle measure

Answers

Answer:

acute angle

Step-by-step explanation:

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^_^

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:

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

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°

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

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:

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

Answers

Answer:

-1,3

Step-by-step explanation:

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

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

(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)

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

State any two types of natural vegetation?

Answers

Answer:

forest, tundra, and grasslands

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!

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

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

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

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

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)☺️

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)

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

:)

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!

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

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