This is solving polynomial equations with factoring, “algebra” I have no idea how to start this problem or even solve it. Please help!

This Is Solving Polynomial Equations With Factoring, Algebra I Have No Idea How To Start This Problem

Answers

Answer 1

[tex]\bf x^2-ax+bx-ab=0\implies \stackrel{\textit{grouping first}}{(x^2-ax)+(bx-ab)}=0 \\\\\\ \stackrel{\textit{common factor}}{x\underline{(x-a)}+b\underline{(x-a)}}=0\implies \stackrel{\textit{common factor}}{\underline{(x-a)}(x+b)}=0\implies \begin{cases} x-a=0\\ \boxed{x=a}\\ \cline{1-1} x+b=0\\ \boxed{x=-b} \end{cases}[/tex]


Related Questions

Solve for x.
Enter your answer in the box
X=

Answers

Answer:

72°

Step-by-step explanation:

[tex] \frac{360}{5} = 72[/tex]

I know that this is not the correct formula for this type of problem, but since x is an acute angle, I found this answer a possibility.

I hope this is correct, and as always, I am joyous to assist anyone at any time.

What is the slope of the line passing through the points (−1, 7) and (4, −1)?



−56
−2
−85
2

Answers

Hey!

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Formula: [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

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Steps To Solve:

~Substitute

[tex]m = \frac{-1 - 7}{4 - (-1)}[/tex]

~Simplify

[tex]m = \frac{-8}{5}[/tex]

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Answer:

[tex]\large\boxed{C)~\frac{-8}{5} }[/tex]

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Hope This Helped! Good Luck!

-2 Is the answer to the question

hello guys I need help with this multiple choice question <3​

Answers

Answer:

fourth equation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2y + 3x = 8 into this form

Subtract 3x from both sides

2y = - 3x + 8 ( divide all terms by 2 )

y = - [tex]\frac{3}{2}[/tex] + 4 ← in slope- intercept form

with slope m = - [tex]\frac{3}{2}[/tex]

Parallel lines have equal slopes, thus

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, - 1) into the partial equation

- 1 = - 3 + c ⇒ c = - 1 + 3 = 2

y = - [tex]\frac{3}{2}[/tex] x + 2 ← equation of line

2 tens 1 one x 10 unit form

Answers

21x10 is 210 your welcome

Is this a permutation or combination problem:
For a band camp, you can choose two or three roommates from a group of 25 friends. In how many ways can you choose?

Answers

Answer:

permutation is the correct one.

Reason: combination are used to calculate the number of possible selections of  objects without regard to the order selected.  "My fruit salad is a combination of apples, grapes, and  bananas". No matter the order, it is still a fruit salad. - The friends cannot be repeated twice so it is not combination

Final answer:

The student needs to choose two or three roommates from a group of 25 friends for a band camp. It is a combination problem and the number of ways to choose can be calculated using the combination formula.

Explanation:

This is a combination problem. The student needs to choose two or three roommates from a group of 25 friends for a band camp. Since the order doesn't matter, it is considered a combination. To calculate the number of ways to choose, we use the combination formula.

The number of ways to choose two roommates can be calculated using the formula C(25, 2) = 25! / ((25-2)! * 2!), which simplifies to 300.

The number of ways to choose three roommates can be calculated using the formula C(25, 3) = 25! / ((25-3)! * 3!), which simplifies to 2,300.

i posted this 575322 times pls help

Answers

Answer:

Step-by-step explanation:

if $860 is invested for one year at 5% simple interest, how much interest is earned? (College Algebra)

Answers

Answer: $43

Step-by-step explanation: 860 x 0.05 = 43

what is 74 times 13

Answers

Answer:

962

Step-by-step explanation:

x times y simply refers to x multiply y, so 74 times 13 means 74*13 and

74*13 = 962

Answer:

The answer is 962.

The equation y = 3.5x represents the rate, in miles
per hour, at which Laura walks.
The graph at right represents the rate at
which Piyush walks. Determine who walks
faster. Explain.

Answers

Answer:

Piyush walks faster than Laura

Step-by-step explanation:

we know that

The rate or speed is equal to the slope of the linear equation

Laura

y=3.5x

The slope is [tex]3.5\ \frac{mi}{h}[/tex]

Piyush

Determine the slope of the line

we have the points

(0,0) and (4,18)

The line represent a direct variation (because passes through the origin)

so

[tex]m=\frac{y}{x}[/tex]

For x=4 h, y=18 mi

substitute

[tex]m=\frac{18}{4}=4.5\ \frac{mi}{h}[/tex]

Compare the slopes

[tex]4.5\ \frac{mi}{h} > 3.5\ \frac{mi}{h}[/tex]

therefore

Piyush walks faster than Laura

Answer:

Piyush walks faster than Laura

Step-by-step explanation:

Piyush walks faster than Laura

During the 2011 season, a quarterback passed for 302 yards per game. He played in all 16 regular season games that year.
a. For how many total yards did the quarterback pass?
b. If he matches this passing total for each of the next 13 seasons, how many yards will he pass for in his career?

Answers

Answer:

(a). 4,832

(b). 62,816

Step-by-step explanation:

We have been given that during the 2011 season, a quarterback passed for 302 yards per game. He played in all 16 regular season games that year.

(a). To find the total yards passed by quarterback, we will multiply total number of games in one season by yards passed in one game.

[tex]\text{Total yards passed by quarterback in one season}=16\times 302[/tex]

[tex]\text{Total yards passed by quarterback in one season}=4,832[/tex]

Therefore, the quarterback passed 4,832 yards in one season.

(b). To find the total yards passed by quarterback in his career, we will multiply total number of yards passed in one season by 13.

[tex]\text{Total yards passed by quarterback in hos career}=13\times 4,832[/tex]

[tex]\text{Total yards passed by quarterback in hos career}=62,816[/tex]

Therefore, the quarterback passed 62,816 yards in his career.

Final answer:

The quarterback passed for a total of 4,832 yards during the 2011 season and is projected to pass for 62,816 yards in his entire career.

Explanation:

The questions can be answered as -

a. To find the total yards the quarterback passed during the 2011 season, we need to multiply the average yards per game by the number of games played.

Since he passed for 302 yards per game and played in all 16 regular season games, the total yards passed would be 302 x 16 = 4,832 yards.

b. If the quarterback matches this passing total for each of the next 13 seasons, we can find the total yards he will pass for in his career by multiplying his average yards per game by the number of games played in each season and then adding up the totals.

Since he passed for 4,832 yards in the 2011 season and plays 16 games per season, the total yards he will pass for in his career would be 4,832 x 13 = 62,816 yards.

Convert 20 minutes to seconds

Answers

Step-by-step explanation:

60 seconds=1 minute

20 minutes=? seconds

60*20= 1,200

1,200 seconds=20 minutes

Hope this helps!!!

Brady

Answer:

20 min = 1,200 s

Step-by-step explanation:

[tex]1\ min=60\ s\\\\20\ min=20\cdot\underbrace{1\ min}_{60s}=20\cdot60\ s=1200\ s[/tex]

Name the operation the should be done first in this expression: 10 - (3 + 4)

Answers

Answer:

[tex]Parenthesis[/tex]

Step-by-step explanation:

To figure this question out, you must follow the rule:

Parenthesis

Exponent

Multiply

Divide

Addition

Subtraction

As you can see, the first operation in PEMDAS is Parenthesis.

Meaning the first thing you do is the numbers in parenthesis

please also help me on this one.​

Answers

Answer: Maybe 8cm?

Step-by-step explanation:

you take 2cm and add it up with every shaded area

The area of the shaded part would be 3.6 squared cm. This is because (4•3.5)-(3sqrt3/2)•2^2=3.6

Can you give me the answer please

Answers

Answer:

-5

Step-by-step explanation:

because -3 + 3 = 0 and 1 + 4 = 5 so your answer is -5

[tex]\huge\boxed{-5}[/tex]

Let's write this out as an equation. [tex]-3+3+1+4+t=0[/tex]

We know that when all of the scores are added together, they equal [tex]0[/tex]. In this case, [tex]t[/tex] represent's Travis's score.

Add the known numbers together. [tex]0+1+4+t=0[/tex]

[tex]1+4+t=0[/tex]

[tex]5+t=0[/tex]

Now, subtract [tex]5[/tex] on both sides of the equation to isolate the variable. [tex]t=\boxed{-5}[/tex]

Which of the following expressions are equivalent to (6.2+6.2)+9.4(6.2+6.2)+9.4left parenthesis, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4? Choose 2 answers: Choose 2 answers: (Choice A) A 6.2 + (6.2 + 9.4)6.2+(6.2+9.4)6, point, 2, plus, left parenthesis, 6, point, 2, plus, 9, point, 4, right parenthesis (Choice B) B -(-6.2+6.2)+9.4−(−6.2+6.2)+9.4minus, left parenthesis, minus, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4 (Choice C) C -(6.2+6.2)+9.4−(6.2+6.2)+9.4minus, left parenthesis, 6, point, 2, plus, 6, point, 2, right parenthesis, plus, 9, point, 4 (Choice D) D 9.49.49, point, 4 (Choice E) E 6.2-(-6.2-9.4)6.2−(−6.2−9.4)

Answers

Answer:

6.2 + (6.2 + 9.4) ⇒ A

6.2 - (-6.2 - 9.4) ⇒ E

Step-by-step explanation:

your welcome i hope you pass <3

The equivalent expressions are Choice A: 6.2 + (6.2 + 9.4) and Choice C: -(6.2 + 6.2) + 9.4.

How did we arrive at this assertion?

Let's break down the expressions to see how they are equivalent:

Original expression: (6.2 + 6.2) + 9.4

Choice A: 6.2 + (6.2 + 9.4)

This is the same as the original expression because the parentheses ensure that the addition of 6.2 and 9.4 is done first before adding it to the first 6.2.

Choice C: -(6.2 + 6.2) + 9.4

Here, we have a negative sign in front of the expression (6.2 + 6.2). When we add a negative sign, it's equivalent to subtracting the expression from 0. So, -(6.2 + 6.2) is the same as (-6.2 - 6.2), which is then added to 9.4. This is also equivalent to the original expression.

In both Choice A and Choice C, the final result is the same as the original expression: (6.2 + 6.2) + 9.4.

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Which real number property is illustrated here? *
1 point
3* – 5 = – 5 * 3
o
Associative Property of Multiplication
O
Identity Property of Multiplication
Commutative Property of Multiplication
O
Commutative Property of Addition

Answers

Answer:

Commutative property of multiplication

Ella wrote AB = |-1 + 5| = 4. Explain Ella’s error

Answers

Answer:

Ella found the Sum instead of the difference between the Cordinates.

The value of AB is 4 and -4. Ella's forgot to include -4 in his solution

Given the expression solved by Ella expressed as:

AB = |-1 + 5| = 4

Since AB contains modulus sign, then the expression can either be a positive value or negative value.

If positive:

|-1 + 5|

= -1 + 5

= 4

If negative:

|-1 + 5|

= -(-1 + 5)

Expand

= 1 - 5

= -4

Hence the value of AB is 4 and -4. Ella forgot to include -4 in his solution.

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The straight line y=2x-2 meets the circle x^2+y^2=8 at the points A and B. Find the length of AB, giving your answer correct to one decimal place.​

Answers

Answer:

(12/5)√5

Step-by-step explanation:

y = 2x - 2

x² + y² = 8

x² + (2x - 2)² = 8

x² + 4x² - 8x + 4 = 8

5x² - 8x - 4 = 0

(5x + 2)(x - 2) = 0

x = -2/5

x = 2

y = 4 - 2

y = 2

(2,2)

y = 2(-2/5) - 2

y = -4/5 - 2

y = -14/5

(-2/5,-14/5)

√((2 + 2/5)² + (2 + 14/5)²)

√((12/5)²+ (24/5)²)

√(144/25 + 576/25)

(1/5)√(144+576)

(1/5)√720

(1/5)√(16*45)

(4/5)√45

(12/5)√5

Please answer this asap for 15 pt

Answers

Answer:

Step-by-step explanation:

what is question that you whant my to answer

WHAT IS 2(2X+5)-6(x+2) when simpified

Answers

Answer:

- 2x - 2

Step-by-step explanation:

Given

2(2x + 5) - 6(x + 2) ← distribute both parenthesis

= 4x + 10 - 6x - 12 ← collect like terms

= - 2x - 2

Can you help I have tried 4 times

Answers

Answer:

5120oz/12=426.667 ounces.

Step-by-step explanation:

We know 1 pound = 16 oz. If we want to find out how many ounces are in 320 lbs, we must multiply 16 by 320 = 5120 ounces. Now we must divide by 12 to see how much she ate per month. 5120 divided by 12 is 426.667 or 426 and 2/3 ounces per month.

Alternatively, we can set up a proportion 1 lb / 16 ounces = 320 lb / x ounces. We cross multiply 1 times x = 320 times 15. On the left hand side we just have x and on the right hand side we get 5120. Hence, x=5120 ounces per year. To find how many she ate per month we must divide by 12 since there are 12 months in a year. So it comes out to 426 and 2/3 ounces per month.

 

Here are the equations: (1lb)(320lb)=(16oz)(320oz) implies 320lb=5120oz. Then divide 5120oz 12 to get how much she ate per month: 5120oz/12=426.667 ounces.

solve the equation for x. interpret the answer in terms of the problem x+y-y=425-y

Answers

x+y-y=425-y

do y-y first

y-y= 0

x+0= x

Answer: x= 425 -y

Final answer:

The equation of algebra  x +y- y=425-y simplifies to x = 425 - y. To find the value of x, you can substitute a given or specific value of y into the equation.

Explanation:

To solve the equation, you adjust and remove variables until you can isolate x. In this case, the equation is x +y- y =425-y. Here, the y's on the left-hand side of the equation cancel out giving you: x = 425 - y.

Therefore, the solution for the value of x, given y, is x = 425 - y. Meaning, if we know the value of y we can substitute it in the equation to find the corresponding value of x.

To interpret the solution, we need to have context or a real world application related to the problem. Without context, the interpretation might not go beyond the mathematical expression that x is equal to 425 minus the value of y.

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In your own words,explain why parentheses are important in problems involving more than one subtraction?

Answers

Answer:

parenthesis can be used to showthe order of what operations happen and the order they happen in, it helps break up confusion aswell that may occur within the equation

Answer:

Parentheses are important because they determine the order and priority of the operations.

Step-by-step explanation:

Parentheses when performing addition, subtraction, division or multiplication operations play a very important role. They tell us in which order we should go solving each of those operations.

If we do not respect this order, we can make the mistake of reaching an erroneous result.

The main thing is to always solve each parenthesis so that in the end everything is free to carry out the corresponding additions or subtractions.

What do users share on Wikipedia?

Answers

Well, ideally, the purpose of Wikipedia is to allow anyone to add information, therefore, in theory, allowing the information to be the most accurate it can be.

In practice though, it just allows people to vandalize the articles and spread fake information.

Answer:

information on many topics

Step-by-step explanation:

A 60-foot monument casts a 25-foot shadow. How long is the shadow of a 4.5-foot-tall person​

Answers

Answer:

1.875 feet

Step-by-step explanation:

The length of the shadow is proportional to the height.

25 / 60 = x / 4.5

Cross multiply and solve:

60x = (25)(4.5)

60x = 112.5

x = 1.875

The shadow is 1.875 feet long.

Final answer:

The shadow of a 4.5-foot-tall person would be 1.875 feet long.

Explanation:

The shadow of a 4.5-foot-tall person would be 1.875 feet long.

First, set up a proportion using the given information: Height of monument / Length of its shadow = Height of person / Length of their shadow

Plug in the values: 60 / 25 = 4.5 / x

Solve for x to find the length of the person's shadow: x = (4.5 * 25) / 60 = 1.875 feet

During a sale, a dress is marked down form a selling price of $90 to a sale price of $81. What is the percent of markdown?

Answers

The percent of the mark down would be 10%. If you subtract 81 from 90, you get 9. Then divide 90 by 9 and you get 10. Hope this helps!

How long will it take you to ski a distance of 36 miles at a speed of 3 miles per 30 minutes

Answers

if one can cover 3 miles in 30 minutes, how many minutes will it be for 36 miles?

[tex]\bf \begin{array}{ccll} minutes&miles\\ \cline{1-2} 30&3\\ x&36 \end{array}\implies \cfrac{30}{x}=\cfrac{3}{36}\implies \cfrac{30}{x}=\cfrac{1}{12}\implies 360=x[/tex]

The two-way table shows the ages of the players on different soccer teams. A 6-column table has 4 rows. The first column has entries 8 years old, 9 years old, 10 years old, Total. The second column is labeled Team A with entries 4, 9, 2, 15. The third column is labeled Team B with entries 6, 4, 3, 13. The fourth column is labeled Team C with entries 8, 3, 5, 16. The fifth column is labeled Team D with entries 3, 7, 4, 14. The sixth column is labeled Total with entries 21, 23, 14, 58. Which statement is true? The probability that a randomly selected player on Team A is 8 years old is StartFraction 4 Over 21 EndFraction. The probability that a randomly selected 8-year-old player is on Team C is StartFraction 16 Over 21 EndFraction. The probability that a randomly selected player on Team C is 10 years old is StartFraction 5 Over 16 EndFraction. The probability that a randomly selected 10-year-old player is on Team B is StartFraction 13 Over 58 EndFraction.

Answers

Answer:

The true statement is:  The probability that a randomly selected player on Team C is 10 years old is [tex]\frac{5}{16}[/tex].

Step-by-step explanation:

According to the table the total number of 10 years old players on Team C is 5 and the total number of all ages players (8, 9 and 10 years old) on Team C is 16, so the probability that a randomly selected player on Team C is 10 years old is 5/16.

The probability that a randomly selected player on Team C is 10 years old is 5/16.

What is Probability?

This is defined as the numerical descriptions of how likely an event is to occur and is often measured in fraction.

Total number of 10 years old players on Team C =  5

Total number of all ages players (8, 9 and 10 years old) on Team C = 16

Therefore probability = 5/16

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Solve for x. 3x-(5-2x)=x-21

Answers

[tex]\text{Hello there!}\\\\\text{Solve for x:}\\\\3x-(5-2x)=x-21\\\\\text{Distribute the "-" to the numbers in the parenthesis}\\\\3x-5+2x=x-21\\\\5x-5=x-21\\\\\text{Subtract x to both sides}\\\\4x-5=-21\\\\\text{Add 5 to both sides}\\\\4x = -16\\\\\text{Divide both sides by 4}\\\\\large\boxed{x=-4}[/tex]

If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?


Answers

Final answer:

To find the expression representing segment PS, we add the expressions for segments PR (4x - 2) and RS (3x - 5) to get PS as 7x - 7.

Explanation:

The question asks us to determine the expression that represents the segment PS given the expressions for segments PR and RS. PR is given as 4x - 2 and RS is given as 3x - 5. To find the length of PS, we add PR and RS because PS is the sum of PR and RS when they form a continuous line segment. Therefore, PS is (4x - 2) + (3x - 5). Simplifying this expression, we get PS as 7x - 7.

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