x²+5x+6, x²+x-6 and x²-9 find hcf​

Answers

Answer 1

Answer:

[tex]x {}^{2} + 5x + 6 \\ {x}^{2} + 3x + 2x + 6 \\ x(x + 3) + 2(x + 3) \\ (x + 3) (x + 2)\\ \\ ( {x}^{2} + x - 6) \\ {x}^{2} + 3x - 2x - 6 \\ x(x + 3) - 2(x + 3) \\ (x - 2)(x + 3) \\ \\ {x}^{2} - 9 \\ (x - 3)(x + 3) \\ \\ the \: hcf \: = (x + 3)[/tex]


Related Questions

Each diagram shows △ABC and △DEF on the coordinate plane, with ∠A ≅ ∠E,
and ∠C ≅ ∠F. Identify whether the two triangles are congruent. If they are not
congruent, explain how you know. If they are congruent, find the length of each
side of each triangle.

Please help a brother out, I need this for a test.

Answers

Answer:

they are not congruent

Step-by-step explanation:

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

1 and 3

Step-by-step explanation:

The reason 1 and 3 are similar due to the fact 3x2 is 6 (one side of 3) and 5x2 is 10 (another side of 3) therefore they are similar because one is sized up slightly.

Teddy
1House A is twice as tall as House B. How tall is House B?
House
Height (ft)
A
24
B

Answers

How tall is house a? If a is 24 ft tall than B is 48 ft tall

Answer:

12

Step-by-step explanation:

House A is 24. So divide it by two to get 12. Which is house B

If the height of a cone is 7.5 cm and the radius is 2 cm, find the approximate volume of the cone.
WILL MARK BRAINLIEST AND IS WORTH 100 POINTS

Answers

Answer:31

Step-by-step explanation:

It is 31 so ur welcome

please help solve 11x+10>=150

Answers

Answer:

12.7272

Step-by-step explanation:

subtract 10 on both sides

divide by 11 on both sides 11/11>140/11

Answer:

x=130

Step-by-step explanation:

11x+10>=150

11x>= 150-10

11x>=140

x>=140-11

x>=129

so, because "x" is bigger than 129,

so, x=130

Create and solve a problem involving the number 7.52 million that would require you to divide.

Answers

Answer:

7.52 million divided by 1

Step-by-step explanation:

Amat increased the amount of carbs he eats each day from 120g to 165g. By what percentage did he increase the amount of carbs he eats?

Answers

Answer:

32%

Step-by-step explanation:

A group spends $277.50 to rent a total of 15 tubes. How many of each type of tube does the group rent?

Answers

The amount spent on each tube is $18.5

The total amount spent to rent 15 tubes by the group is $277.50.

Since they did not specify in the question the types of tubes they rented, we cannot determine each types of tubes that the group rented but we can determine the amount spent on each tube provided that they are all the same types.

if 15 tubes = $277.50

1 tube = $x

By cross multiplying:

[tex]\mathbf {\$(x) = \dfrac{ \$277.50 \times 1 \ tube }{15 \ tube}}[/tex]

[tex]\mathbf {(x) = \$18.5}[/tex]

Therefore, we can conclude that the amount spent on each tube is $18.5

Learn more about arithmetic operations here:

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How to tell if a function is exponential.

Answers

Answer:

It is when it has factors and can be multiplied

Ron is 25 years old and is retiring at the age of 65. When he retires, he will need a monthly income of $4,123 for 20 years. If Ron contributes 10% of his monthly income to a 401(k) paying 5.5% compounded monthly, will he reach his goal for retirement given that his monthly income is 3,142.23? If he does not make his goal then state by what amount he will need to supplement his income. Round all answers to the nearest cent.a.Ron will meet his monthly goal of exactly $4,123 for retirement.b.Ron will meet his monthly goal of $4,123 for retirement with an excess of $125.34.c.Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.d.Ron will not make his monthly goal of $4,123 and will need $450.61 to supplement his monthly income when he retires.

Answers

Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

What is Compound interest?

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given monthly income of Ron is $3,142.23

Ron is 25 years old and is retiring at the age of 65. so he has 40 years to contribute.

Total amount he contribute in 40 years paying 5.5% compounded monthly is given by

interest rate(r) = 0.055/12

time period = 40 years = 480 months

Principal amount = $314.223

Future value = [tex]P(\frac{(1+r)^{n}-1 }{r} )[/tex]

Substitute, we get,

= 3142.23 [tex].10(\frac{(1+\frac{0.055)^{12.40}-1) }{12} }{\frac{0.055}{12} }[/tex]

Thus, future value is $547074.681009.

After retirement his monthly income when he has $547074.681009 amount.

P = (A.i/2)/(1-(1+i/12)⁻ⁿ)

Putting values, we get,

P = (547074.68×0.55/12)/1-(1+0.055/12)⁻²⁴⁰

P = $3763.25

He will receive a monthly income of $3763.25.

But  given he will need a monthly income of $4,123 for 20 years, which is not met by Ron.

So, the amount he needs to supplement his monthly income when he retires by (4123-3763.25)= $359.74

Hence, Ron will not make his monthly goal of $4,123 and will need $359.74 to supplement his monthly income when he retires.

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What is the range of the graph

Answers

Answer:

You're correct the answer is B) [tex]-5 \leq y \leq -1[/tex]

Step-by-step explanation:

The key behind this problem is think about the function [tex]\sqrt[3]{x}[/tex] and think what happen when you plug in values in it.

So we're  going to try with some simply values for evaluate

[tex]\sqrt[3]{-8} = -2[/tex]

[tex]\sqrt[3]-1} = -1[/tex]

[tex]\sqrt[3]{0} = 0[/tex]

[tex]\sqrt[3]{1} = 1[/tex]

[tex]\sqrt[3]{8} = 2[/tex]

How you can see when plug in a negative number the function return a negative number, but when you plug in a positive number the function return a positive number (this isn't a proof of this happen in each value of the given interval, but is a good way of demonstrate the relation). This means that when you plug in a value this value is greater than the value of before, so the function  is increasing it's outputs.

Now this is good because that's mean that the limits of the range are the limits of the domain evaluates in the function (because the smaller input give us the smaller output and the same with the greater). But the given function have different operation in it, so you have to interpret this operations of this way:

When you have a negative value in the [tex]x[/tex] like in this occasion ([tex]\sqrt[3]{-x}[/tex]) the function reflex it's values with respect to the y axis (image put the functions in a mirror a draw the given image in the same cartesian plane).And you have a -3 this is move each value of the function 3 units down.

So with this information you evaluate each limit of the domain [tex]\{-8, 8\}[/tex] in the function and get the limits for the range.  

[tex]f(-8) = \sqrt[3]{-(-8)} -3= \sqrt[3]{8} -3 = 2 -3 = -1[/tex]

[tex]f(8) = \sqrt[3]{-8} -3= -2 -3 = -5[/tex]

So the range of the function in the given interval is equal to [tex]\{-1, -5\}[/tex] in the interval notation is equal to [tex]-5 \leq y \leq -1[/tex]

Solve:
(a+b+c) (a+b-c)

Answers

Answer:

a²+2ab+b²-c²

Step-by-step explanation:

Solve:

(a+b+c) (a+b-c)=

(a²+ab-ac+ab+b²-bc+ac+bc-c²)=

a²+ab-ac+ab+b²-bc+ac+bc-c²=

a²+2ab+0ac+b²+0bc-c²=

a²+2ab+b²-c²

Answer:

The answer is a² + 2ab + b² - c²

Step-by-step explanation:

(a + b + c) × (a + b - c)

a² + ab - ac + ba + b² - bc + ca + cb - c²

a² + ab + ba - ac + ca + b² - bc + cb - c²

a² + 2ab + b² - c²

Thus, The answer is a² + 2ab + b² - c²

-TheUnknownScientist 72

What is the slope of the line passing through the points (1, 7) and (4, -1)? Leave your answer as a fraction

Answers

The answer is -8/3

Explanation: I used geogebra and made the slope, then calculated it

A regular polygon has an exterior angle of 40
°

Work out the number of sides of the polygon.​

Answers

Answer:

9 sides

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

To find the number of sides n divide the sum by 40°

n = 360° ÷ 40° = 9

9
The exterior angles of any regular polygon must add up to 360. Since the angle measure given in the questions is 40, take 360/ 40= 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.

-4x-3y=5 3x-2y=-8 Solve by substitution

Answers

Answer:

look at the picture ..........

Answer:

y=1

x=-2

Step-by-step explanation:

Lets use substitution for the first equation:

-4x=5+3y

Divide by -4 on both sides : x=-5/4-3/4y

Now we substitute x into the second equation:

3(-5/4-3/4y)-2y=-8

Simplify : -15/4-9/4y-2y=-8

Combine Like Terms : -15/4-17/4y=-8

Isolate the Variable : -17/4y=-17/4

y=1

Now we get that x is -5/4-3/4, which is -8/4=-2

x=-2

You alright today? <3

Answers

Answer:

No because No one will brianliest me

Step-by-step explanation:

Answer:

I am alright. What about you?

hiroshi borrowed 3 nonfiction books from the library. This was 25% of the books he checked out. how many books did Hiroshi take out?

Answers

Answer:

12 books

Step-by-step explanation:

25% is the same as 1/4

3=25%=1/4

if you multiply 3 by 4 you get 100% or 12

You can also do this by adding 9, aka 3*3, to 3 to get 3*4=12.

3 feet in 4 minutes
A._______________
B._______________ per 16 minutes

Answers

Answer:

B. 12 per 16 minutes

Step-by-step explanation:

4×4=16, so multiply 3x4to get 12

6.3(1 + f) =







6.3(1 + f) =

Answers

6.3+6.3f and that’s because you need to multiple both sides by 6.3

Answer:

63 times (f+1)/ 10

Step-by-step explanation:

* Simplify 63 over 10

* 63 over 10 times (f+1)

= 63 times (f+1) over 10

Which expression is equivalent to 56+23m+12−16m?


Answers

Answer:

Step-by-step explanation:like like l'ike m y vieo9dsssssssss

The equivalent expression is 7m + 68

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the expression be A = 56 + 23m + 12 - 16m

Adding the like terms in the equation , we get

A = ( 56 + 12 ) + ( 23m - 16m )

On Simplifying , we get

A = 68 + 7m

A = 7m + 68

Hence , the required solution is 7m + 68

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A box of pens and rubbers is divided equally into two bags.
In the first bag, the ratio of pens to rubbers is 3:5.
The second bag, the ratio of pens to rubbers is 1:2.
What is the ratio of pens to rubbers before the pile was divided into two bags?​

Answers

Answer:

my answer is 3:5

Step-by-step explanation:

sana makatulong yan

Solve.

x−(−256)=−15

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.

x =

Answers

Step-by-step explanation:

[tex]x - ( - 256) = - 15 \\x + 256 = - 15 \\ x = - 15 - 256 \\ x = - 271[/tex]

2. Which statement is true? (1 point)
O All quadrilaterals are rectangles.
O All quadrilaterals are squares.
O All rectangles are quadrilaterals.
O All quadrilaterals are parallelograms.

Answers

Answer:

the third one

Step-by-step explanation:

all rectangles have 4 sides therefore a quadrilateral

Answer:

3

Step-by-step explanation:

Rectangles require 4 sides and 90 degree corners, a quadrilateral requires 4 sides. So rectangles fulfill the quadrilateral's condition, but quadrilaterals can't always fulfill other forms' condition.

By pushing the crate up the ramp rather than lifting it to the platform,you are using_____force, but moving the crate a____

distance

Answers

Answer:

More; less

Step-by-step explanation:

Applying force to be lifted up to a platform requires more force to get it there. I believe the crate would have a reduced distance. I hope this helps.

I need the answer to this question, I’ll give you brainliest and 50 points!

Answers

Answer:

Student 1

Step-by-step explanation:

Student one attempts to divide both sides by -2, however only divides one term by -2, instead of all the terms

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Answer:

i think its 150

Step-by-step explanation:

The correct answer is 75 pages.
Divide 250 by 400 and get 1.6 which is how long it takes her to read 1 page. The divide 1.6 by 120 (2 hours converted to minutes) and get 75.

would love it if someone helped with this question please...

Answers

Answer:

$40.00

Step-by-step explanation:

to find the cost multiply the cost per unit by the number of units: 10/6 x 24 = 40

40 dollars

10/6= 1.666666666666667
Multiply 1.666666666666667 by 24 you get 40

How to do


97 X 98​

step by step plz

Answers

Answer:

9506

Example:

Multiply the 7 and 8 to get 56.

Since 56 is greater than 9, you'll have to carry the 5.

       5

       9 7

x 9 8

___________

               6

Multiply the 9 and 8 to get 72.

And, add the carried 5 to get 77.

77 is greater than 9, but there are no more digits to carry over, so just write the 7 down in front.

   7  5

       9 7

x 9 8

___________

       7    7   6

Multiply the 7 and 9 to get 63.

Since 63 is greater than 9, you'll have to carry the 6.

       6

       9 7

x 9 8

___________

       7    7   6

             3   0

_____________

Multiply the 9 and 9 to get 81.

And, add the carried 6 to get 87.

87 is greater than 9, but there are no more digits to carry over, so just write the 8 down in front.

   8  6

       9    7

x 9    8

___________

       7    7   6

  8   7    3   0

_____________

Then add 776 + 8730 to get your answer which is 9506! :)

  1    1

      7   7  6

+  8  7  3  0

_________

    9  5  0  6

HI GUYS COULD YOU PLEASE HELP ME WITH THIS TYSM

Answers

Answer:

-13

Step-by-step explanation:

2(-2)-3(3)=

-4-9=

-13

THE ANSWER IS -13
Because a minus x a positive is a minus and a positive x a positive is a positive

A stick 1 meter long casts a shadow 0.6 meters long. A building casts a shadow 25 meters long. How tall is the building (to 2 decimal places)

Answers

Answer:

41.67

Step-by-step explanation:

Using the tangent on the stick with shadow:

tan(θ) = [tex]\frac{1}{0.6}[/tex]

Using the tangent on the building:

tan(θ) = [tex]\frac{h}{25}[/tex]

⇒ h = 25 · tan(θ)

       = 25 · [tex]\frac{1}{0.6}[/tex]

⇒ h = 41.66... ≈ 41.67

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