3. Factor x2 + 5x + 6.

Answers

Answer 1

Answer:

( x+3) (x+2)

Step-by-step explanation:

x^2 + 5x + 6.

What two numbers multiply to 6 and add to 5

(3*2) = 6

3+2 = 5

( x+3) (x+2)

Answer 2

Answer:

[tex]\left(x+2\right)\left(x+3\right)[/tex]

Step-by-step explanation:

[tex]x^2+5x+6\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+2x\right)+\left(3x+6\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+2x\mathrm{:\quad }x\left(x+2\right)\\\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}3x+6\mathrm{:\quad }3\left(x+2\right)\\=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\=\left(x+2\right)\left(x+3\right)[/tex]


Related Questions

The next model of a sports car will cost 12.9% more than the current model. The current model costs $35,000. How much will the price increase in dollars

Answers

Answer:

The price increase in dollars= $4,515

Step-by-step explanation:

Cost of the next model = cost of the current model + 12.9% cost of the current model

Cost of the current model = $35,000

12.9% cost of the current model

= 12.9/100 × $35,000

= 0.129 × $35,000

= $4,515

Cost of the next model = cost of the current model + 12.9% cost of the current model

= $35,000 + $4,515

= $39,515

Cost of the next model = $39,515

The price increase in dollars= next model price - current model price

=$39,515 - $35,000

= $4,515

The price increase in dollars = $4,515

find the area of a shape​

Answers

Add a picture with your question
Which shape then we can help

PLEASE SHOW WORK!!

I WILL MARK YOU BRAINLIEST!! **ESPECIALLY IF YOU CAN EXPLAIN IT!

Answers

Step-by-step explanation:

x^2=9/49

√x^2=√9/49

x=+or-3/7

Select all the scalars


A. Distance

b.displacement

C.speed

D.velocity







Please help ASAP please answer please !!⬆️

Answers

Answer:

A, B, C

Step-by-step explanation:

Velocity is the only option that has both distanace and direction.

Is 225 a perfect square and a perfect cube?

Answers

Answer:

Yes, it is!

Step-by-step explanation:

yes that’s actually a really perfect square

What is the value of x in the equation LaTeX: \frac{3}{2}\left(4x-2\right)-3x=5-\left(x+2\right) 3 2 ( 4 x − 2 ) − 3 x = 5 − ( x + 2 ) ?

Answers

Answer:

x = 3/2

Step-by-step explanation:

x = 3/2

Step-by-step explanation:

Given the equation 3/2(4x-2)-3x = 5-(x+2)

Open the parenthesis

3/2(4x) - 3/2(2) -3x = 5-x-2

6x-3-3x = 3-x

3x-3 = 3-x

Collect like terms

3x+x = 3+3

4x = 6

Divide both sides by

4x/4 = 6/4

x = 3/2

Hence the value of x is 3/2

Can someone plss help mee ??

Answers

first - 8
second - 4
third - 12
fourth - 9

Jacinta is very fast and ran 300 metres in 30 seconds. What is her speed in km/h?

Answers

Answer:

36km/h

hope this helps!

Please help 30 points!!!!!!! Convert 45.25 mL into ft3.

Answers

This on the web one-way conversion tool converts volume or capacity units from milliliters ( ml ) into cubic feet ( ft 3 , cu ft ) instantly online. 1 milliliter ( ml ) = 0.000035 cubic feet ( ft 3 , cu ft ). How many cubic feet ( ft 3 , cu ft ) are in 1 milliliter ( 1 ml )? How much of volume or capacity from milliliters to cubic feet, ml to ft<sup>3</sup> , cu ft?

hope this helps!

solve for x (2x+1) (x+29)​

Answers

The answer would be 2x^2+59x+29

PLZ HELP ME ! Solve for k

Answers

Step-by-step explanation

A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on the shirts.

Answers

Answer:

3(75) + 50C

Step-by-step explanation:

Suppose a school needs to make T-shirts for its 75 members and the ordered printing company charges $3er shirt. This implies that the total amount that will be paid for the shirt without being a colored printing will be :

3(75) ----- Let that be  equation (1)

If a school choir needs to make T Shirts for its 75 members and the printing company charges $3 per shirt, the total amount paid for shirts without coloured printing will be $3 * 75 = 3(75) ... 1

However, if the ordered printing company charges a $50 fee for each color to be printed on the shirts, therefore, the total number of colors on the shirt will cost $50C  --- Let that be equation (2)

here, C represents the total amount of colors in the number of T-shirts

Therefore, the equation showing the relationship between the number of T-shirts ordered and the number of colors can be expressed as the summation of the above two equations:

=  3(75) + 50C

how do i solve this? xw+vy-xy-vw​

Answers

Here you go hopes this helps

I need help fast pls help

Answers

the answer is C fr fr fr

Answer:

third option

Step-by-step explanation:

Using the rule of radicals

[tex]\frac{\sqrt{a} }{\sqrt{b} }[/tex] = [tex]\sqrt{\frac{a}{b} }[/tex] and [tex]\sqrt{-1}[/tex] = i

Given

[tex]\frac{\sqrt{-12} }{\sqrt{6} }[/tex] = [tex]\sqrt{\frac{-12}{6} }[/tex] = [tex]\sqrt{-2}[/tex] = [tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex] = i[tex]\sqrt{2}[/tex]

HELP I DONT KNOW WHICH CHOICE TO PICK

Answers

Answer:

second option

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle

Given

hypotenuse = x[tex]\sqrt{2}[/tex] and

the combined length of the legs = 2x , then

perimeter = x[tex]\sqrt{2}[/tex] + 2x

What is LaTeX: m\angle PQRm ∠ P Q R? Line PS with midpoint at Q and ray QR. Angle pqr is 3x-6 and angle rqs is x+2

Answers

Answer:

132°

Step-by-step explanation:

If line PS has midpoint a Q and ray QR, then line PQS will be a straight line and <PQR + <RQS = 180 (sum of angle on a straight line).

Given

<PQR = 3x-6

<RQS = x+ 2

To get x, we will use the relationship above;

3x-6+x+2 = 180

4x-4 = 180

add 4 to both sides

4x-4+4 = 180+4

4x = 184

x = 184/4

x = 46

Since <PQR = 3x-6, we will substitute the value of x into the formula;

<PQR = 3x-6  

<PQR = 3(46)-6

<PQR = 138-6

<PQR = 132°

Hence the size of angle PQR is 132°

Joe wants to buy a toaster that costs $15 dollars. The sales tax on the toaster is 5%. What is the total cost Joe will pay for the toaster? (Please explain how you solved the problem)

Answers

Answer:

  $15.75

Step-by-step explanation:

You can do this a couple of ways.

(1) Compute the tax, and add it to the price to find the total.

  5% × $15 = 0.05 × $15 = $0.75 . . . . amount of tax

Then the total cost is $15 + $0.75 = $15.75.

__

(2) Add the percentage to 100% and use that to multiply the cost.

  total cost = $15 + 5% × $15 = $15×(100% +5%) = $15×1.05

  total cost = $15.75

the angle of elevation of a jet plane from a point P on the ground is 60 degree after a flight of 15 seconds the angle of elevation changes to 30 degree if the jet plane is flying at a constant height of 1500 root 3 metre find the speed of the jet plane​

Answers

Answer:

200m/s

Step-by-step explanation:

Please see the attached pictures for full solution.

help me with this, please

Answers

Answer:

Correct Answer: Option A

Step-by-step explanation:

cos(x + 25o) = sin 45o

using cos θ = sin(90 - θ)

cos(x + 25o) = cos(90 - 45)

cos(x + 25o) = cos 45

x + 25 = 45

x = 45 - 25

x = 20o

 

Hope it helps ♡^▽^♡

The answer is A because I had same problem and got a 100% on my test. Have a nice day!

plzzzz Help!!!!!!


A plumber charges $55 for a service call plus $40 for each hour he works. If the total bill for a job costs $215, write an equation to represent the situation. 40 + 55 = x + 215 215 = x + 40 + 55 215 = 40 + 55x 215 = 40x + 55​

Answers

Answer:

The answer is 215=55x+40 or 215=40+55x

Step-by-step explanation:

The reason it is that is because the plumber charges $55 for a service and he adds 40 for each hour he works so that is why this is the answer Remember the total bill cost 215 so that comes as the equation is equal to.

Hope that helps

What is the measurement of this angle

Answers

Answer:

Acute, 40 degree angle

Step-by-step explanation:

Take 90 - 50 and you get 40

I hope this helps you :)

-KeairaDickson

Answer:

40°

Step-by-step explanation:

Count how many 10s it takes to get from 90 degrees to 50 and you get your answer...

A scientist has two kinds of solutions. The first solution is Solution A, which is an $80\%$ acid solution. The second solution is Solution B, which is a $30\%$ acid solution. (a) Find the amount of Solution A (in mL) that must be added to $500$ mL of Solution B in order to produce a $70\%$ acid solution. (b) Find the amount of Solution A and Solution B (in mL) that can be combined in order to form a $100$ mL solution that is $50\%$ acid. (c) Does there exist a combination of Solution A and Solution B that is $90\%$ acid?

Answers

Answer:

Step-by-step explanation:

a ) Let the volume required be v .

v x .8 + 500 x .3 / ( v + 500 ) = .7

.8 v + 150 = .7 v + 350

.1 v = 200

v = 2000 mL

b )

Let the volume of solution A  required be v . The volume of solution of B required will be 100 - v

v x .8 + ( 100 - v ) x .3 / 100 = .5

.8 v + 30 - .3 v = 50

.5 v = 20

v = 40 mL

volume of solution B = 60 mL .

c )

It is not possible because 90 % is more than 80 % the concentration of solution A . Any mixture will have concentration less than 80 % .

volume of solution B = 60 mL

Solve
x/4 = 8

please help me find what x is ​

Answers

Answer:

x = 32

Step-by-step explanation:

x/4 = 8

<=> x = 8 . 4

<=> x = 32

Multiply by 4 on both sides to get x=32.

Ronald wants to paint his drawing room wall which measures 8 feet by 9 feet. The cost of the paint is $14 per square foot. How much will it cost Ronald to paint the wall

Answers

Answer:

$1036

Step-by-step explanation:

His room is 8 x 9 = 72 feet.  The cost of each square foot is $14.  

So 72ft x $14 = $1036.  So its going to cost him $1036.

i hope i helped :)

Answer: Answer is 1,008

Step-by-step explanation:

Because 9 x 8 is 72 ft

Take 72 + 14 is equal to 1,008.

Please solve for a ! 24+5a=-a+6(5a-4)

Answers

Answer:

a = 2

Step-by-step explanation:

First of all you should remove parentheses by using distribution

24 + 5a = - a + 30a - 24

Then you should collect all like terms

24 + 5a = 29a - 24

After you should move the terms so the variables are only on one side.

5a - 29a = -24 - 24

Collect like terms

-24a = -48

After dividing both sides you get

a = 2

Consider the composite function g (f (x)) = x StartRoot 6 EndRoot. If f(x) = 3x2, what is g(x)?
g (x) = StartRoot 2 x EndRoot
g (x) = StartRoot x + 3 EndRoot
g (x) = StartRoot 6 x EndRoot
g (x) = StartRoot 9 minus x EndRoot

Answers

Answer:

The answer is A on edge

Step-by-step explanation:

The required function g(x) = √2x

Given that,
The composite function g (f (x))= x √6
f(x) = 3x²
g(x) = To be determine.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
g (f (x))= x √6
g (3x²)= x √6
g (3x²)= √6x²
g (3x²)= √2*3x²
Let
x ⇆ 3x²
g (x)= √2x

Thus, the required function g(x) = √2x.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Two forces are given by j = (-2,1] and K = (-5,3), in
Newtons. What is the magnitude of j+k ?
A. [-7,4]
B. 8.06
C. 8.56
D. 11

Answers

D 11 I think I'm not sure, good luck

Convert the repeating decimal below into a fraction. - 0.6

Answers

Answer:

2/3

Step-by-step explanation

(6 times 10)-0

___________

          9

6/9= 2/3

Give examples of two substances that look similar, but have different properties.

Answers

Answer:

Water and alcohol

Step-by-step explanation:

They are both a clear liquid. However, their properties are very different. Here are a few of the things that set them apart.

their smelltheir PHtheir density

Is the expression 5 + 3x 2always equal to the expression 4x? Explain your answer.

Answers

5+3x=4x
only when
x=5
The two expression are only equal at x=5
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