Factor the trinomial 6x²-5x-6, then find the sum of the factors.

Answers

Answer 1

Answer:

5x - 1

Find Factors:

6x²-5x-66x²-9x+4x-63x(2x-3)+2(2x-3)(2x-3)(3x+2)

Factors: (2x-3)(3x+2)

Their sum:

(2x-3)+(3x+2)2x + 3x -3 + 25x - 1
Answer 2
Question : -

Factor the trinomial 6x²-5x-6, then find the sum of the factors .

Given : -

An equation = 6x² - 5x - 6

To Find : -

Sum of their factors .

Concept : -

This question belongs to factorising the trinomial with the help of different methods such as middle term splitting .

Solution : -

[tex] \longrightarrow \: 6x {}^{2} - 5x - 6[/tex]

Now , by splitting the middle term that is - 5 x :

[tex] \longrightarrow \: 6x {}^{2} - 9x + 4x - 6[/tex]

Now , taking 3x and -2 as common :

[tex] \longrightarrow \: 3x(2x - 3) + 2(2x - 3)[/tex]

So ,

[tex] \longrightarrow \: ( 3x + 2 ) ( 2x - 3 )[/tex]

Therefore , factors are ,

( 3x + 2 )

( 2x - 3 )

In the question we have ask to find the sum of their factors . So adding them ,

3x + 2 + 2x - 3

5x - 1

Therefore , 5x - 1 is the sum of the factors .

#Keep Learning

Related Questions

A custodian can clean 2 classrooms in 15 minutes. At this rate, how many classrooms can a custodian clean in 76 minutes?

Answers

Answer:

10 Classroom

Step-by-step explanation:

Since,

Custodian clean 2 classrooms in 15 minutes

Then ,

Let's see how many minutes does it takes for a custodian to clean for 1 classroom

To Find that we have to divide the given minutes by the given classroom.

15/2 = 7.5

Hence, in 7.5 minutes a custodian clean 1 classroom

Therefore:

Classroom to minutes:

1 = 7.5

2 = 15

3 = 22.5

4 = 30

5 = 37.5

6 = 45

7 = 52.5

8 = 60

9 = 67.5

10 = 75

11 = 82.5

Hence, we round to the nearest number:

which is 10 classroom in 75 minutes.

For this reason, the answer is about 10 classroom

~lenvy~

He can clean 10 classrooms

IF YOU ANSWER FIRST ILL GIVE BRAINLYEST

The table below shows data for the relationship between x and f(x) = 3(0.5)^at.


x f(x)

–2 192

–1 24

0 3

1 0.375


What is the value of a that results in the data in the table?


A. -3

B. -1/3

C. 1/3

D. 3

Answers

Answer:

I might be wrong but i looked it over, and I think the answer can be  B

Step-by-step explanation:

I dont know for sure but i think it might be.

B- 99% sure I’m prolly right

I need the answer to this math problom

Answers

Answer: Isabel rides for 2.5 hours

Step-by-step explanation: 27.5 ÷ 11 = 2.5

Answer:

27.5/11= 2.5 hours.

Step-by-step explanation:

Distance= Time * Speed -----> Time= Distance/Speed

HELP ME !!!!! fbhabfab

Answers

Answer:

Positive correlation

Step-by-step explanation:

Overall as x increases, y increases.

Hope this helps!

positive correlation would be your answer

Ivanna works mowing lawns and babysitting. She earns $7.30 an hour for mowing and $6.80 an hour for babysitting. How much will she earn for 3 hours of mowing and 5 hours of babysitting?

(If correct, will give brainliest)

Answers

She will earn $55.90 for 3 hours of mowing and 5 hours of babysitting.

Answer ASAP! but only if you know 100%, and whoever gets it right can have brainliest

Answers

Answer:

the third one

Step-by-step explanation:

7 absolute is 7 absolute of any number is positive

I agree with The third one

Sketch a graph of the function g(x)=(x-3)²-4. What is the range of g(x)?

Answers

Answer:Find where the expression  

is undefined.

List all of the vertical asymptotes:

This is what your graph would look like:

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

Someone please help, I've been stuck on this for so long!

Answers

Answer:

Step-by-step explanation:

Answer is C

Option A doesn't work since angle C doesn't equal to angle K even though they are alternate interior angles which means angle D won't equal to angle L so A-A theorem doesn't work

Option B: they aren't congruent (you can tell just by looking at them) congruent implies that they are identical in side length and angle

Option C: its option C since just by looking at the figure, we know that the side length arent the same, and non of the angles are congruent to each other (excpet angle J since its a vertical angle).

option D: not all triangles are similar

The speed of 10 cars on a certain highway stretch was recorded below. If the mean of the data is 63.2 with a standard deviation of 6.2, circle all data values with a z-score less than 0.5.
{49, 58, 60, 63, 64, 64, 65, 67, 70, 72}

Answers

Answer:  58

Step-by-step explanation:

How do you do this???

Answers

Answer:

  (a) 136 ft

  (b) $680

Step-by-step explanation:

You want to know the perimeter length and the cost of tiling around a pool with the L-shape shown.

(a) Perimeter

The sum of horizontal lengths at the bottom of the pool outline is the same as the length at the top.

The sum of vertical lengths at the left of the pool outline is the same as the length on the right.

The perimeter is the sum of horizontal and vertical lengths of the outline, so is ...

  P = 2(40 ft + 28 ft) = 136 ft

The perimeter of the pool is 136 ft.

(b) Tile cost

The cost of tile is found by multiplying the cost per length by the length around the pool.

  tile cost = ($15/(3 ft))(136 ft) = $680

It will cost $680 to put tiles around the edge of the pool.

<95141404393>

Find the area of a right triangle with a base of 9 feet and a hypotenuse length of 13 feet and a base of 9 feet.(Round to the nearest tenth.)

Answers

Answer:

Step-by-step explanation:

Remark

The plan is to find the third side. It and the 9 foot side form a right angle. The base is given as 9 feet. The third sid will be the altitutude. The formula is Area = 1/2 * Base * third side.

Formulas

c^2 = b^2 + a^2

Area = 1/2 b * a

Givens

c = 13 feet

a = ?

b = 9 feet.

Answer: 42.2 square feet.

Solution

c^2 = b^2 + a^2

13^2 = 9^2 + a^2

169 = 81 + a^2                 Subtract 81 from both sides.

169 - 81 =81 - 81 + a^2    Combine

88 = a^2                          Take the square root of both sides

√a^2=√88

a = 9.381

Area = 1/2 * 9 * 9.381

Area = 42.21

Rounded to the nearest 1/10 Area = 42.2

In the metric system, small quantities of liquid are measured in milliliters (mL) or cubic centimeters (cm3 or cc). A liter is 1000 mL or 1000 cc. The capacity of the cup in problem 18 is about what fraction of a liter?

Answers

the answer is 24/1000

Which right triangle’s unknown leg measure is StartRoot √43 EndRoot units? Assume the given length are in the same unit of measure.

Answers

Answer: It's D

because [tex]a^2+b^2=c^2[/tex] so [tex]c^2-b^2 =a^2\\[/tex]

There is a pair of parallel sides in the following shape.

What is the area of the shape?

Answers

Answer:

15

Step-by-step explanation:

3x3 plus 7x3 = 30 divided by 2

The area of the quadrilateral is equal to 15 square units.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the quadrilateral in a two-dimensional plane is called the area of the quadrilateral. A quadrilateral is a four-sided polygon with four edges and four corners in geometry.

Given that the quadrilateral has a height of 3 units, the base is 3 units and the upper sides are 7 units.

The area of the quadrilateral is calculated by the formula,

Area = (1/2) x h x (a + b)

Substitute the values in the formula and calculate the area,

Area = (1/2) x 3 x (7 + 3)

Area = (10 / 2) x 3

Area = 5 x 3

Area = 15 square units

To know more about an area follow

https://brainly.com/question/27991573

#SPJ2

I need Help again pls :)

Answers

Answer:

76 novels

Step-by-step explanation:

n times m

N=4

M=19

4 times 19= 76

The answers 76. Your welcome

6[5x(41-36)-8+14)] =?
help pls

Answers

236 if my calculations were right:) have a wonderful rest of your day

Pls quickly, it’s due in 1 hour

Find the interquartile range of the data.
132.127.106.140.158.135,129,138

Answers

IQR aka interquartile range is just taking Q3-Q1 and to find Q3 and Q1 you first need to find the median

First order the numbers
106,127,129,132,135,138,140,158

Now find the median (find the middle number)
It’s 132 and 135 so just add them together and divide by 2 so 133.5

Now to find Q1 you take the left overs from the first part of the medium and find the middle number

106,127,129,
⬇️
It’s 127 that’s the Q1

Now to find the Q3 you do the same thing but the upper half of the left overs

138,140,158
⬇️
Q3 is 140

Now that we know our Q1 is 127 and our Q3 is 140 we use the equation Q3-Q1
So
140-127=13

Your IQR is 13

What are the perimeter and area of a rectangle with a length of 20 in. and a width of 15 in.?
*
P = 35 inches, A = 300 square inches
P = 70 inches, A = 300 square inches
P = 300 inches, A = 70 square inches
P = 35 inches, A = 200 square inches

Answers

P = 70 inches, A = 300 square inches

hope it helps...!!!

Area= Length x width
Area= 20in x 15in
Area=300in^2

Perimeter=L1+L2+W1+W2
Perimeter= 20+20+15+15
Perimeter=70 inches

Identify the scatter plots as linear association, nonlinear association, or no association.



(WONT LET ME ADD THE 6TH IMAGE)

Answers

Answer:

1. Non-linear positive

2.Linear positvie

3. No association

4.Linear negative

5.Non-linear negative.

Step-by-step explanation:

If this answer helped may I get brainlest.

Answer b because how it’s formed

pls help me this is so frustrating

Answers

Answer:

x = 60°

Step-by-step explanation:

m∠EGD = m∠BGF = x°

The following m∠EGD, m∠DGC, m∠EGA lies on a straight line.

A straight line has total 180° interior angle.

solve:

m∠EGD + m∠DGC + m∠EGA = 180°x + 90° + 30° = 180°x + 120° = 180°x = 180° - 120°x = 60°

Students at Baldwin Elementary School cast 432 votes for student government president. If the number of votes the losing candidate received was 60% of the number that the winner received, how many more votes than the loser did the winner receive?

Answers

Answer: 173

Step-by-step explanation:

60% of 432 is 259 so 432-259=173  

173 more votes at the elementary school

If w = 7 feet, x = 6 feet, y = 13 feet, and z = 8 feet, what is the area of the object?

Answers

Answer:

The Area is: 84ft

Step-by-step explanation:

multiply "Y" and "X" and you get 78ft.

"W" + "?"= "Y" If "W"=7, what is 13 ("Y") - 7? 13 -7=6. so "?"=6.

"Z"-"X"="?" "Z"=8 and "X"=6. so 8-6=2

2x6=12 *but remember that to find the area of a triangle it is half of a square of rectangle so you have to divide it in half. 12/2=6.

78+6=84.

Hope this helps! :)

The area to this equation is 84ft

what is the mean absolute deviation (MAD) of the data set? 78, 82, 84,88,92

Answers

Answer:

4.08

Step-by-step explanation:

Frankie is making a flag for his boat in the shape of a triangle. He needs the flag to cover at least 56 square inches. Which measurements will create a flag that is large enough?

base of 10 in and height of 12 in

base of 4 in and height of 28 in

base of 14 in and height of 8 in

base of 20 in and height of 5 in

base of 4 in and height of 14 in

Answers

Answer:

4x14

Step-by-step explanation:

It is correct because 4x14 is 56.

Answer:

4x14

Step-by-step explanation:4x14=56

For what value of k will the following linear system have infinitely many solutions?
2a+b=-6, 6a+kb=-18

Answers

Answer:

K = 3

Explanation given below in the image,

I hope my answer helps you.

Name one reason thats makes a number Irrational?

Answers

Answer:

Step-by-step explanation:

A number is irrational if:

-it cannot be written as a ratio of two integers

-the decimal part goes on forever without repeating

-is a real number that is not rational

There are 357 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 45 fans?

Answers

Answer:

8 buses

Step-by-step explanation:

So if we want to seperate out a group of objects to a set, we would used division. Our group of objects is basketball fans and our set is a bus.

Now, we divide the group of objects by the set, to find how many sets to fit all the objects.

357/45 = 7.93333

Since we have a mixed number with a fraction, we will always round up. Because we can't have part of a bus and if we round down, we will not have enough buses.

So we need 8 buses

CAN SOMEONE HELP ME PLEASE!

Answers

The 4th one is the answer i did this earlier

Pls, help!!! Will mark brainiest :)
A square pyramid 9 feet tall has a volume of 507 cubic feet. How long is each side of the base of the pyramid?
(SHOW ALL WORK!!!)

Answers

Hope this helps!!!!!

Help With my math home work

Answers

Answer:

1/2 and -1/2

Step-by-step explanation:

The square root of a fraction is equal to the square root of the numerator divided by the square root of the denominator. In this case, it is √1 / √4. The square root of 1 is still 1, so 1 is the numerator. The square root of 4 is 2, so 2 is the denominator. The fraction is 1 / 2. However, if you square -1/2, you also get 1/4, just like when you square 1/2. Therefore, the second choice is the right option because it has the correct, and number of, answers.

I hope this helps and please mark me as brainliest!

Answer-1/2 and -1/2 you are welcome
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