Which binomial expressions are factors of 5x^3+8x^2-7x-6

Which Binomial Expressions Are Factors Of 5x^3+8x^2-7x-6

Answers

Answer 1

Answer:

x - 1 and x + 2

Step-by-step explanation:

By the factor theorem if (x - a) is a factor then f(a) = 0.

Try x - 1:_

f(1) =  5(1)^3 + 8(1)^2 - 7 - 6

= 5 + 8 - 7 - 7

= 0  so x - 1 is a factor

We can find the other factors by long division:-

            5x^2  + 13x + 6

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

x - 1 )    5x^3  + 8x^2  -  7x  -  6

           5x^3  -   5x^2

          --------------------

                        13x^2  -   7x

                         13x^2  -  13x

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

                                       6x - 6

                                        6x - 6

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

    5x^2  + 13x + 6   = (5x + 3)(x + 2)                          


Related Questions

What is the value of P ?

Answers

Answer:

133*3+90*3+30*p

Step-by-step explanation:

add all that up then divide it by three

Answer:

p=43°

Step-by-step explanation:

We know that the sum of angles inside the triangle is 180 degree

One angle is P, we find other two angles

Angles in a straight line is 180 degree.

angle adjacent to 133 is 180-133=47

angle adjacent to 90 is 180-90=90

To find out P, we add all the angle and make it equal to 180 degree

p + 47+90= 180

p+137= 180

Subtract 137 on both sides

p=43°

1. Solve x/6 = 20.


A. x = 26

B. x = 3

C. x = 14

D. x = 120


Answers


[tex] \frac{x}{6} \: = \: 20[/tex]
[tex]x \: = \: 20 \: \times \: 6[/tex]
[tex]x \: = \: 120[/tex]

A bowling alley charges 2.00 per game and will rent a pair of shoes for 1.00 for any number of games. The bowling alley has an earrings goal of 300 for the day

Answers

Answer:

The bowling alley should rent 150 pairs of shoes and should about 75 games per day in order to reach a goal of 300 dollars.

Step-by-step explanation:


LE _____ VO

Choose the relationship symbol to make a true statement.

<
=
>

Answers

the relationship is LE=VO

Answer:

LE > VO

Step-by-step explanation:

This is a short answer, but I assure you that it is 100% correct.

Hope it helps.

HELP ASAP!!! Working together, Rocco and Giulia can paint a room in 3 hours. It would have taken Rocco 7 hours to do the job alone. Which equation can be used to determine r, Giulia’s rate of work in parts per hour?

A- 3/7+3r=7
B- 3/7 + 3r =1
C- 1/7 = R
D- 3/7 = 3r

Answers

Answer: B

Step-by-step explanation:

Rocco: [tex]\dfrac{1}{7}[/tex] of the job per hour

Giulia: [tex]\dfrac{1}{x}[/tex] of the job per hour

Together: [tex]\dfrac{1}{3}[/tex] of the job per hour

Rocco + Giulia = Together

[tex]\dfrac{1}{7}[/tex] + [tex]\dfrac{1}{x}[/tex] = [tex]\dfrac{1}{3}[/tex]

[tex]\dfrac{1}{7}(21x)[/tex] + [tex]\dfrac{1}{x}(21x)[/tex] = [tex]\dfrac{1}{3}(21x)[/tex]

3x + 21 = 7x

       21 = 4x

       [tex]\dfrac{21}{4} = x[/tex]

It will take Giulia [tex]\dfrac{21}{4} = 5\dfrac{1}{4}[/tex] hours to paint the room by herself.

*******************************************************************************************

Giulia: [tex]r=\dfrac{1}{x}[/tex] = [tex]\dfrac{4}{21}[/tex]

A) [tex]\dfrac{3}{7} + 3(\dfrac{4}{21}) = 7[/tex]

    [tex]\dfrac{3}{7} + \dfrac{4}{7} = 7[/tex]

    [tex]\dfrac{7}{7} = 7[/tex]  

    1 = 7

    FALSE

B) [tex]\dfrac{3}{7} + 3(\dfrac{4}{21}) = 1[/tex]    

   [tex]\dfrac{3}{7} + \dfrac{4}{7} = 1[/tex]

    [tex]\dfrac{7}{7} = 1[/tex]  

    1 = 1

    TRUE

Answer:

b is the correct answer for edge

Step-by-step explanation:

1. Write the fraction 8/9 as a percent. Round to the nearest hundredth of a percent where necessary. A. 88.89% B. 1.13% C. 44.44% D. 66.67% 2. Write 0.063 as a percent. A. 0.63% B. 6.3% C. 63% D. 630% 3. A survey at your school found that 792 in 1,220 students have a cell phone. What percent of the students in school has a cell phone? Round to the nearest hundredth where necessary. A. 6.49% B. 54.04% C. 64.92% D. 79.20%

Answers

Answer:

1.A. 88.89

2.B.6.3%

3.C.64.92%

Step-by-step explanation:

1.[tex]\frac{8}{9}=0.8888[/tex]

to covert it into percentage multiply it with 100

then it becomes 88.888

rounding off to the nearest hundred it becomes 88.89

2. to convert into percentage multiply it with 100

therefore 0.063×100=6.3%

3. to find percentage

    %= (no of students using mobile / total no of students )× 100

       = [tex]\frac{792}{1200}[/tex]×100

       =64.918

Rounding off to nearest hundred it becomes 64.92%


Answer:

1) A. 88.89%

2) B. 6.3%

3) C. 64.92%

Step-by-step explanation:

1) After dividing 8 by 9, we get, [tex]\frac{8}{9} = 0.8889[/tex].

Now, percent of [tex]\frac{8}{9}[/tex] = 0.8889 * 100 = 88.89%

Hence, percent to nearest hundredth is 88.89%

2) We want 0.063 to be written in percent form

i.e. 0.063 * 100 = 6.3%

Hence, 0.063 into percent form is 6.3%

3) We are given that the total number of students are 1220 and the number of students that have cell phones are 792.

Therefore, the percent of students having cell phones = [tex]\frac{792}{1220} *100[/tex] = 64.92%

Hence, the percent of students having cell phones to nearest hundereth is 64.92%

The parent function is f(x)=2^x-1 +3 and the new function is g(x)=2^x+2 +5

How does the graph change from f(x) to g(x)?

Select each correct answer.

Answers

Answer:

B and C

Step-by-step explanation:

There are two ways of looking at this question. You can do it algebraically or you can make a graph that will give you the answer visually.

Graph

I'll try to do both. First the graph. (See below)

The red line is f(x)The blue line is g(x)

The graph tells us that the line is shifted

2 units up (blue is above red) and 3 units to the left (blue is to the left of red)

Algebra.

g(x) = 2^[(x - 1) + 3] + 3 (+ 2)

The rewrite shows that +3 means left. +2 means up.


simplify (10x^2-19x-2) + (5x^2-8x+13) - (3x^2-2)

Answers

Greetings!

Answer:

12x² -27x + 13

Step-by-step explanation:

First of all, expand the first two brackets and put the correlating values near each other:

10x² + 5x² -19x -8x -2 +13

10x² + 5x² = 15x²

-19x + - 8x = -27x

-2 + 13 = 11

15x² - 27x + 11

Now, subtract the values inside the third bracket:

15x² - 3x² = 12x²

11 - -2 = 11 + 2 = 13

So the end result is:

12x² -27x + 13


Hope this helps!

In a neighborhood of 160 houses. 48 of the houses are brick. What percent of the houses are brick houses.

Answers

Since it's 48 out of 160 and you're trying to find the percentage out of 100, this particular formula would look like this: 48/160=x/100.

Then you cross multiply: 48x100=4800

Then you take the result of that and divide it by the total number of houses. 4800/160=30

30% of the houses are brick.

PLEASE HELP WITH GEO!!

Answers

Answer:

10. It is a parallelogram.

11. The parallelogram is a rhombus.

Step-by-step explanation:

10. Use the given sets of congruent segments with congruent vertical angles XNY and WNZ to prove that triangles XNY and ZNW are congruent. Now use CPCTC to show that angles XYN and ZWN are congruent. They are alternate interior angles making sides XY and WZ parallel. Now use CPCTC to show that sides XY and WZ are congruent. Since a quadrilateral has two opposite sides that are both parallel and congruent, the quadrilateral is a parallelogram.

11. A rectangle and a square have 4 right angles. If you add 72 deg and 72 deg, you get 144 deg which is not a right angle. Since one angle of the parallelogram is not a right angle, the parallelogram is not a square or a rectangle.

There are two triangles. Let's look at the upper triangle. The triangle has 2 angles measuring 72 deg each. That means the opposite sides are congruent, and the triangle is isosceles. Since the quadrilateral is a parallelogram, opposite sides are congruent, so all 4 sides are congruent, and the parallelogram is a rhombus.

Answer:

10. It is a parallelogram.

11. The parallelogram is a rhombus.

Step-by-step explanation:

I NEED HELP ASAP
The steps count 4

points for each equation and the solution is 1 point for each. Round the solution to

two decimal places. (10 points)

a. 4x – 5 = 16


b. 35 + 3x – 11 = 2335 + 3x – 11 = 23

Answers

a.4x=16+5
4x=21
x=21/4
x=5.25
b.I am not sure about the question too much as solution for the question above
35+3x-11=2335+3x-11
have no solution but,
for 2335+3x-11=23
3x=23+11-2335
=-2301
x =-2301/3
=-767.00
Final answer:

The solution to the first equation 4x – 5 = 16 is x = 5.25. The solution to the second equation 35 + 3x – 11 = 23 is x = -0.33. Both solutions have been rounded to two decimal places.

Explanation:

Let's solve these two equations one by one:

a. 4x – 5 = 16

Add 5 to both sides of the equation: 4x = 16 + 5 Simplify right side: 4x = 21 Divide both sides by 4 to solve for x: x = 21/4 = 5.25

b. 35 + 3x – 11 = 23

Simplify the left side by combining like terms: 3x + 24 = 23 Subtract 24 from both sides to isolate the term with x: 3x = 23 - 24 Simplify right side: 3x = -1 Divide both sides by 3 to solve for x: x = -1/3 = -0.33

These are the solutions to the equations, rounded to two decimal places.

Learn more about Solving Equations here:

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Mrs Vargas is 4 years less than 4times her daughter anas age. Mrs Vargas son Leo is 3years more than two times Ana's age.If Ana is a years old what is the difference between Mrs. Vargas'age and her sons age

Answers

Answer: 2a - 7

Step-by-step explanation:

Ana: a

Mrs Vargas: 4a - 4

Leo: 2a + 3


 Mrs Vargas  -   Leo

=   (4a - 4)      -  (2a + 3)

=    4a - 4       -2a - 3

=    2a - 7


Someone please help me.

Answers

Explanation:

1. PQ║TS, PQ ≅ TS, PT and QS are transversals to the parallel lines . . . given

2. ∠P ≅ ∠T . . . alternate interior angles at PT

3. ∠Q ≅ ∠S . . . alternate interior angles at QS

4. ΔPQR ≅ ΔTSR . . . ASA postulate

_____

You can use any pair of angles together with the sides PQ and TS. If you use the vertical angles and one of ∠T or ∠S, then you must invoke the AAS postulate for congruence, as the side is not between the two angles.

The basketball team spends 20 minutes running laps and at least 15 minutes discussing plays. Practice lasts one hour and 45 minutes. Write and solve an inequality to find the amount of time remaining to work on other drills.

Answers

Answer:

[tex]t\leq 70[/tex]

Step-by-step explanation:

The team spends 20 minutes running laps

At least 15 minutes discussing plays.

Practice lasts one hour and 45 minutes.

We know that 1 hour = 60 minutes, so the practice lasts,

60+45= 105 minutes.

The team spends a total of [tex]20+15=35[/tex] minutes  in running and discussion.

So the time remaining to work on other drills is,

[tex]t\leq 105-35[/tex]

[tex]t\leq 70[/tex]

How to solve this problem?

Answers

Answer:

Can not be determined.

Step-by-step explanation:

We can easily notice that the limit is x tends to infinity, whereas x is not present in the given function, we are given (1 + 1/n). So we can not evaluate the given limit for x as parameter, we must have some function of x to solve this problem.

Hence, option C is correct i.e. the limit can not be determined.

Which equation represents the sentence? The sum of 14 and a number is 8 times the number

A.14+n=8n

B.14n=8+n

C.14n+8=n

D.14(n+8)=n

Answers

The correct equation is 14 + n = 8n, option A is correct.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Let the number is n,

8 times of the number = 8n

According to the condition, The sum of 14 and number n is 8 times the number,

Implies that,

14 + n = 8n

The correct equation is 14 + n = 8n.

To know more about Equation on:

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Add. (3t - 3) + (6t2 + 4t + 13) + (-8t2 + 11t - 1)? A) -2t2 + 18t + 9 B) -2t4 + 182 + 9 C) 2t4 - 18t - 9 D) 2t4 + 18t + 9

Answers

Let's simplify step-by-step.

3t−3+6t2+4t+13−8t2+11t−1

=3t+−3+6t2+4t+13+−8t2+11t+−1

Combine Like Terms:

=3t+−3+6t2+4t+13+−8t2+11t+−1

=(6t2+−8t2)+(3t+4t+11t)+(−3+13+−1)

=−2t2+18t+9



QUICK

Bill lent some money to his two brothers. He wrote down the amounts so he would not forget. The list shows the younger brother with −$17.25 and the older brother with $0. Which of the following statements best describes the amounts?

A.The older brother paid Bill $17.25, and the younger brother does not owe him any money.

B.The older brother owes Bill $17.25, and the younger brother does not owe him any money.

C.The younger brother owes Bill $17.25, and the older brother does not owe him any money.

D.The younger brother paid Bill $17.25, and the older brother does not owe him any money.

Answers

The answer is C. The younger brother owes Bill $17.25, and the older brother does not owe him any money.

The Cooper family is driving 236.5 miles to visit their relatives. In the first three hours, they drive 69.4 miles in the first hour, 67.9 miles in the second hour, and 69.5 miles in the third hour. How many more miles do they need to travel?

Answers

Answer:

29.7

Step-by-step explanation:

The remaining distance is the total distance less the distance driven so far:

... 236.5 -69.4 -67.9 -69.5 = 29.7

Sam bought two CDs for 13 each sales tax for both CDs was $3 how much did she pay

Answers

13x2. 13 is how much the cds cost. 2 is how many she is buying. 13x2 is 26. Check 13+13=26.26-13=13.

Hope this helps!

An elephant needs to drink at least 40 gallons of water each day. A drinking tank contains 4 gallons of water. The elephant has already consumed 24 gallons of water. How many more tanks x of water does the elephant need to drink? Write your answer as an inequality.

Answers

After drinking 24 gallons out of the required 40 gallons, the elephant needs at least 4 more tanks of water as each tank holds 4 gallons. The inequality representing this is x ≥ 4.

The student needs to calculate how many more tanks of water an elephant needs to drink to reach its daily requirement of at least 40 gallons if each tank contains 4 gallons of water. To start, we determine how much water the elephant still needs after drinking 24 gallons:

Required daily water - Water already consumed = Remaining water needed

40 gallons - 24 gallons = 16 gallons

Next, we find out how many tanks are needed for the remaining 16 gallons, knowing that each tank holds 4 gallons:

Number of tanks needed = Remaining water needed / Water per tank

Number of tanks needed = 16 gallons / 4 gallons per tank

Number of tanks needed = 4 tanks

Since the elephant needs at least 40 gallons, it will need at least 4 more tanks of water. However, since we're writing this as an inequality, we want to express that the elephant may drink more. Hence, the inequality will be:

x ≥ 4

Julie's mp3 contains 860 songs if 20 percent of the songs are rap and 15 percent of the song are r and b songs how many of the songs are other types

Answers

That means that 496 songs are other types. Hope this helps

Answer:

The number of other types of songs in Julie's MP3 player was 559.

Step-by-step explanation:

Total number of songs in Julie's MP3 player = 860

Rap

The percentage of rap songs in Julie's MP3 player = 20%

The Number of rap songs is 172  

R&B

Percentage of R&B songs in Julie's MP3 player = 15%

The Number of R&B songs in Julie's MP3 player = 129

Other Music

The number of other types of songs in Julie's MP3 player = 559

So the number of other types of songs in Julie's MP3 player was 559.

What percent of 14 is 35

Answers

Answer:

250%

Step-by-step explanation:

First, set the equation.

35/14 x 100% = answer

Simplify.

2.5 x 100 = answer

250 = answer

250% is your answer

~

Answer:

The answer is 2.5

Step-by-step explanation:

14*2.5%=35

choose the quadratic equation that has a leading coefficient of 8 and solutions -10 and 7/8

Answers

Answer:

[tex]f(x)=8x^2+73x-70[/tex]

Step-by-step explanation:

We are given

zeros as -10 and 7/8

now, we can set up function as

[tex]f(x)=a(x-(-10))(x-\frac{7}{8})[/tex]

now, we are given that

leading coefficient is 8

so, a=8

now, we can plug it

[tex]f(x)=8(x-(-10))(x-\frac{7}{8})[/tex]

now, we can simplify it

[tex]f(x)=8\left(x^2+\frac{73x}{8}-\frac{35}{4}\right)[/tex]

so, we get

[tex]f(x)=8x^2+73x-70[/tex]

How many different four lettered codes can be formed if the first letter must be an S or a T

Answers

Answer:

27,600

Step-by-step explanation:

We use the following formula:-  

Number of permutations of r from n

= nPr

= n! / (n-r)!

I am assuming you don't allow repeated letters in the 4 letter codes.

Take S as the first letter. Then we have 3 letters extra out of 25 letters.

Using the above formula the possible ways of doing this is

25! / (25 - 3)!

25! / 22!

= 25*24*23

= 13800.

The same number is obtained if the first letter is a T.

So the answer is 2*13800

= 27,600

Lexi can paint 5 yards of fencing in one hour. At this rate how many inches does she paint per min?

Answers

1 yard is 36 inches  

so 5 yards are 180 inches  

1 hour is 60 minutes  

so in 60 minutes she paints 180 inches  

or in 1 minute she paints 3 inches




The set of all possible vectors you can reach with the linear combination of two vectors is called ________________.

Answers


The set of all possible vectors you can reach with the linear combination of two vectors is called the linear span of the set of two vectors.  

We often write the span of a set of vectors S as span(S) and it's itself a vector space, a subspace of the vector space from which the elements of S are drawn.


Answer:

I think you can also call it a vector space.

Step-by-step explanation:


Calculate the distance between the points K = −1, −4 and L = −82 in the coordinate plane.
Give an exact answer (not a decimal approximation).

Answers

Answer:

√85

Step-by-step explanation:

The distance formula tells you the distance between (x1, y1) and (x2, y2) is ...

... d = √((x2-x1)^2 +(y2-y1)^2)

For your points (-1, -4) and (-8, 2), the distance is ...

... d = √((-8 -(-1))^2 +(2 -(-4))^2) = √((-7)^2 +6^2) = √(49 +36)

... d = √85

The distance between the two points is √85.

Daren can jump rope 116 times in 2 minutes, Kyle can jump rope 240 times in 4 minutes, and Marissa can jump rope 225 times in 5 minutes. Who can jump rope the most times per minute?

Answers

Answer:

Kyle can jump rope the most times per minute.  

Step by step explanation:

We have been given that Daren can jump rope 116 times in 2 minutes.

So number of rope jumps done by Daren in 1 minute will be:

[tex]\text{Unit rate of Jump rope done by Daren}=\frac{116\text{ times}}{2\text{ minute}}[/tex]

[tex]\text{Unit rate of Jump rope done by Daren}=58\frac{\text{ times}}{\text{ minute}}[/tex]

Therefore, Daren jumps rope 58 times per minute.

We have been given that Kyle can jump rope 240 times in 4 minutes.

So number of rope jumps done by Kyle in 1 minute will be:

[tex]\text{Unit rate of Jump rope done by Kyle}=\frac{240\text{ times}}{4\text{ minute}}[/tex]

[tex]\text{Unit rate of Jump rope done by Kyle}=60\frac{\text{ times}}{\text{ minute}}[/tex]

Therefore, Kyle jumps rope 60 times per minute.

We have been given that Marissa can jump rope 225 times in 5 minutes.

So number of rope jumps done by Marissa in 1 minute will be:

[tex]\text{Unit rate of Jump rope done by Marissa}=\frac{225\text{ times}}{5\text{ minute}}[/tex]

[tex]\text{Unit rate of Jump rope done by Marissa}=45\frac{\text{ times}}{\text{ minute}}[/tex]

Therefore, Marissa jumps rope 45 times per minute.

As Kyle jumps rope 60 times per minute, which is greater than jumps rope done by Daren and Marissa, therefore, Kyle can jump rope the most times per minute.

the sum of m and 3 divided by the difference of m minus 3

Answers

Answer:

1 is the answer.

Step-by-step explanation:

(m + 3) / (m - -3)

m + 3 / m - - 3 = m + 3 / m + 3

m + 3 / m + 3 = 1

Please mark brainiest would help alot :3

Simplify:

"The sum of m and 3" => m + 3

"[the whole] divided by" => (m + 3)/

"The difference of m minus 3" => m - 3

(m + 3)/(m - 3) is your answer

~

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