Mathematics High School

find hcf of 3x²+7x-6 and 2x²+7x+3​

Find Hcf Of 3x+7x-6 And 2x+7x+3

Answers

Answer 1

Given:

The expression are:

[tex]3x^2+7x-6[/tex]

[tex]2x^2+7x+3[/tex]

To find:

The HCF of the given expression.

Solution:

We have,

[tex]3x^2+7x-6[/tex]

[tex]2x^2+7x+3[/tex]

The factor form of given expressions are:

[tex]3x^2+7x-6=3x^2+9x-2x-6[/tex]

[tex]3x^2+7x-6=3x(x+3)-2(x+3)[/tex]

[tex]3x^2+7x-6=(x+3)(3x-2)[/tex]

Similarly,

[tex]2x^2+7x+3=2x^2+6x+x+3[/tex]

[tex]2x^2+7x+3=2x(x+3)+1(x+3)[/tex]

[tex]2x^2+7x+3=(x+3)(2x+1)[/tex]

From the factor forms it is clear that the factor [tex](x+3)[/tex] is common.

Therefore, the HCF of given expressions is [tex](x+3)[/tex].

Related Questions

18÷(−23)×4÷(−7)×(−3)÷(14)
18÷−23×4÷−7×(−3)÷14

Answers

They both equal to -0.09

Answer:

-0.0958296362=-0.09

this is the answer for both

like last time>:(

Step-by-step explanation:

The rectangle below has an area of x^2-15x+56x

−15x+56x, squared, minus, 15, x, plus, 56 square meters and a length of x-7x−7x, minus, 7 meters.

What expression represents the width of the rectangle?
Width= meters

Answers

Report this clown who put the first answer he’s trying to get your ip

Answer:

x-8

Step-by-step explanation:

Sydney and Neil went picking strawberries. Sydney picked 137 fewer strawberries than Neil did. Together, they picked 223 strawberries. How many strawberries did Neil pick?

Answers

Answer:

86

Step-by-step explanation:

223-137=86

here you go please do it quick with work

Answers

Answer:

Answer:

5. 18

6. 13.75 all the arrows for 6 is just explaining how 13,75 is the answer

5 2 11 8 35 32

if i helped brainliest is appreciated :)

Riley earned $5 for
1/2
of an hour babysitting. What is her hourly rate?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

Answer:

$10

Step-by-step explanation:

Her hourly rate is 10 because if she earned $5 for half and our or 30 minutes that means to get to 1 hour multiply by 3 so you get. $10 per hour

Answer:

$10 per hour.

Step-by-step explanation:

$5 = 1/2 an hour | 30 minutes

So if you were to multiply $5 by 2 you'd get $10 which would make 1 whole hour.

$10 In different forms:

2/2

1.00

1

Match each equation to its solution​

Answers

Answer:

1st answer: -8

2nd answer: -5.2

3rd answer: 28.8

4th answer: 4

Answer:

x/2=-4_______ -8

-5x=26_______ -5.2

x/-7.2=-4________28.8

3  

__  =6________4

2  x

Step-by-step explanation:

David and his dad are building a room in the basement. They want the
room to have an area of 150 ft?. If one wall is 11.25 ft. long, how long must the other
wall be? Show your work.

Answers

Since you’re trying to find the area the equation would be 150=11.25x and you divide by 11.25 to get x alone and you would get 13.33333 so about 13 1/3

Pos
Use the inverse trig ratios to find the value of the missing angle. Round to the nearest WHOLE NUMBER.
99
44
Angler

Answers

Answer:

hi

Step-by-step explanation:

12 in

1. What is the area of the trapezoid? The diagram is not drawn to scale.

Answers

The answer is 72 because u find the area of the square then the triangles :)

plllllllllllllllllllllllllllz asap simplify (4m)^2

Answers

Answer:

16m^2

Step-by-step explanation:

Answer:

16m²

Step-by-step explanation:

(4m)²

4m × 4m = 16m²

-TheUnknownScientist

Dan bought 6 new baseball trading cards to add to his collection. The next day, his dog ate half of his collection. There are now only 28 cards left. How many cards did Dan start with? Giving brainliest!

Answers

Answer:

50 cards

Step-by-step explanation:

28*2= 56

56-6=50

Answer:

50

Step-by-step explanation:

28 x 2 = 56

56 - 6 = 50

Which is the graph of the following equation?
x = 2

A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer:

its C

Step-by-step explanation:

What is the equation that you get when you put together the two
equations below?

Answers

Answer:

1st option

Step-by-step explanation:

Given the 2 equations

2x + 5y = 19 → (1)

y = 3x - 3 → (2)

Substitute y = 3x - 3 into (1)

2x + 5(3x - 3) = 19

what is 5.823 rounded to the nearest whole
what is 3.147 rounded to the nearest whole

Answers

Answer:

6 and 3

Step-by-step explanation:

5.8 to the nearest whole is 6

3.147 to the nearest whole is 3

what is the circumfrence of a circle with a radius of 4 inches. Use 3.14 for pi.

Answers

Answer:

25.12 in.

Step-by-step explanation:

Circumference formula: pi*2*radius

radius=4, so

3.14*2*4=25.12

PLEASE HELP!!!!!!!!!_______

Answers

Answer: B

Step-by-step explanation:

classify the quadrilateral please




gjfjdjdxjdjdjdjdjdjdhdh​

Answers

a rectangle, because it is

Answer:

It's a square

Step-by-step explanation:

All its sides are equal

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP
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Answers

Answer:

D

Step-by-step explanation:

Answer:

D.14

I hope it helps my friend.

plz mark me as brainliest.

50a3b-8ab factor the expression completely. part a: factor out the gcf (5 points) part b: factor the difference of perfect squares (5 points)

Answers

Answer:

Step-by-step explanation:

50a³b = 2⋅5²a³b

8ab = 2³ab

GCF = 2ab

50a³b - 8ab = 2ab(5²a² - 2²)

5²a² - 2² = (5a - 2)(5a + 2)

Find the distance between the two numbers. Write your answer as a decimal.

−2.2, 8.4

Answers

Answer:

-10.6

Step-by-step explanation:

Ryan has 4 cups of grape juice, and Kelsey has 7 cups of lemonade. They want to combine what they have to make punch. How many 12-cup servings of punch can they make?

Answers

Answer:

8

Step-by-step explanation:

Actually since there is only 4 cups of grape juice and 7 cups of lemonade you could only make 4 cups of punch. So your answer would be 8 because 4x2=8

What is 5637 time 7829

Answers

The answer to that is 44,132,073

Answer:

44,132,073

Step-by-step explanation:

A tennis court for singles play is 78 feet long and 27 feet wide. Part 1 out of 3 The court for doubles play is 9 feet wider than the court for singles play. How much more area is covered by the tennis court used for doubles play? The tennis court used for doubles play covers square feet more area than the court used for singles play.

Answers

Answer:

702 ft^2

Step-by-step explanation:

Steps to answering this question

1. determine the area of the singles court

area of a rectangle = length x width

27 x 78 = 2106 ft^2

2. Determine the width of the doubles court

27 + 9 = 36FT

3. Calculate the area of the doubles court

area of a rectangle = length x width

78 x 36 = 2808 ft^2

Find the difference in areas

2808 - 2106 = 702 ft^2

What is the value of x?

Enter your answer in the box.

x =?

Answers

Answer:

x= 54

Step-by-step explanation:

2x+2= 3x-52 since they are equal

sole

54 is the value of x
x=54
hope this helps!!

Ruth develops a blueprint with the help of a triangle. The longest side of the instrument measures 14 inches and one of the sides measures 12 inches.

Answers

Answer:

The other side is sqrt(52) units or 7.21110255 units

Step-by-step explanation:

I'm assuming you want the other side of the triangle, which you would use the Pythagorean theorem for.

a^2 + b^2 = c^2

12^2 + b^2 = 14^2

144 + b^2 = 196

b^2 = 52

b = sqrt(52) or 7.21110255

an alloy contains nickel and chromium in 3:2 ratio, find the mass of each metal in 540g of alloy.​

Answers

Answer:

Let the mass of nickle be 3x

And the mass of chromium be 2x

According to question,

3x+2x = 250

5x = 250

x =250/5

x = 50

Susan buys the items listed below at a grocery store.

2 packages of chicken priced at $12.36 per package

1 half-pound of broccoli priced at $1.98 per pound

1 gallon of milk priced at $3.49 per gallon

There is no sales tax on the food she buys. Susan pays for the item and receives $0.80 in change. What amount of money does Susan use to pay for the items?

Answers

The amount of money Susan use to pay is $29.39

Answer:

$29.38

Step-by-step explanation:

What linear inequality best describes the following graph

Answers

Answer:

C. y≤(2/5)x+1

Step-by-step explanation:

i graphed it

Solve: 36a^4 b^10 - 81a^16 b^20 using GCF


I really need help with this asap thank you in advance :)

Answers

Answer:

9a^4b^10(2+3a^6b^5)(2-3a^6b^5) is your answer

Step-by-step explanation:

36a^4 b^10 - 81a^16 b^20

9×4a^4 b^10-9×9a^4×a^12×b^10×b^10

9a^4b^10(4-9a^12b^10)

9a^4b^10{2²-(3a^6b^5)²}

9a^4b^10(2+3a^6b^5)(2-3a^6b^5)

The answer is [tex]{9a^4 b^{10}( 4 - 9a^{12} b^{10})}[/tex]

Given:

[tex]\to 36a^4 b^{10} - 81a^{16} b^{20}[/tex]

To find:

solve the expression by using the GCF

Solution:

[tex]\to 36a^4 b^{10} - 81a^{16} b^{20}[/tex]

taking common the similar term:

[tex]\to 9a^4 b^{10}( 4 - 9a^{12} b^{10})[/tex]

Learn more about the GCF:

brainly.com/question/25067118

Which phrase is best represented by the algebraic
expression
x/4 -2

Answers

Answer:

D) 2 less than the quotient of x divided by 4

Step-by-step explanation:

Since it's x/4 there has to be a quotient or division involved in the sentence, which eliminates A and B. Since there's a -2, C is eliminated since it doesn't include 2.

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