(e) 3x2 + 10x + 3 by x + 3

Answers

Answer 1

Answer:

(3x+1)(x+3) is the factorised form for the expression.

Step-by-step explanation:

:3

x

2

+

10

x

+

3

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like  

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

N

2

=

a

c

=

3

3

=

9

and,

N

1

+

N

2

=

b

=

10

After trying out a few numbers we get:

N

1

=

9

and  

N

2

=

1

9

1

=

9

, and  

9

+

(

1

)

=

10

3

x

2

+

10

x

+

3

=

3

x

2

+

9

x

+

1

x

+

3

=

3

x

(

x

+

3

)

+

1

(

x

+

3

)

(

3

x

+

1

)

(

x

+

3

)

is the factorised form for the expression.

is the factorised form for the expression.


Related Questions

house a and house b are very similar houses located in different parts of the city.The graph shows the value of each house for the first part of the year?

Answers

The answer is 17,000 it is simple addition. Ur name says Ur in highschool. I am in sixth grade. I just solved it. Just do me a favor and try next time.

Question 1 (1 point)
What is the solution to the equation
below?
5 + 6x = 2x - 7

Answers

Answer:

x = negative 3

Step-by-step explanation:

i just know lol

To linear functions are shown below. Which function has a greater rate of change?

Answers

Function Y has a greater rate of change
Y function is greater rateo change is right I ask my teacher

In gym class students were asked to form nine equal groups. If there were 16 students in each group, then how many total students were there? *

Answers

Take 16 per group x9 groups =144 students

On a map of hiking trails, 0.5 inch represents 1 mile. A trail is shown as 1.25 inches long on the map. How long is the actual trạil?

Answers

Answer:

2.5 miles

Step-by-step explanation:

Answer:

The actual trail length is 2.5 miles.

Step-by-step explanation:

Let's solve this. 0.5 inches on the scale = 1 mile. Since the trailer is 1.25 inches long on the scale, let's first multiply 0.5 by 2. You would get 1 inch on the scale, which would be 2 miles.

2 miles = 1 inch on the scale. But it says 1.25, so since 0.5 inches is 1 mile, then 0.25 inches is 0.5 miles. Add 2 miles and 0.25 miles, and you will get 2.5 miles.

The trailer length is 2.5 miles.

Willow class has been practicing typing in the computer lab she can type 23 words per minute write an equation to find the W the number of words she will be after 9 minutes then solve

Answers

Answer:

(23)(9) = 207

Step-by-step explanation:

Hope this helped

Answer: 207

Step-by-step explanation:

in 1 min she can type 23 words

1 min = 23 words

9 min = x

x = 23 * 9

=> 207

PLEASE HELP WILL GIVE BRAINLIEST

Please explain too just so I can believe you. If someone else answers I will give you brainliest (if you are correct only)

Answers

Answer:

B. y = 3x + 1

Step-by-step explanation:

We can look at the table like a bunch of values, where (x) is what is inserted into the equation, and (y) is what comes out.

Now, simply insert the (x) values into each equation and see if they work out or not.

y = (1/3)(-1) + 1 does not equal -2, meaning this equation is defunct.

y = 3(-1) + 1 = -2; y = 3(0) + 1 = 1. This must be the equation as it works for the (x) values given. You can try the other equations, but a simple look at them is all you need to prove them false.

plzz help me helppppp I'm almost out of time

Answers

Answer:

$6.50 per bag of popcorn

Step-by-step explanation:

let a bag of popcorn be represented by p and a candy bar be b

28p + 40b= $282

17p + 20b= $160.50

this is an example of stimatanelous equations

so you have to double the second equation to give 34p + 40b =$321

subtract the equations to give one

6p =$39

divide $39 by 6 to give the value of one bag of popcorn = $6.50

A sandwich costs $4.75 and a piece of fruit costs $1.95. If you have a $20 bill, how much change will you get?

Answers

Answer:

$13.30

Step-by-step explanation:

i hope this helps :)

Answer:

$13.3

Step-by-step explanation: your total for the sandwhich and fruit together are 6.7.  20-6.7=13.3

A famous monument is 300 ft tall. When it casts​ 210-ft shadow, a nearby tree casts a shadow that is 27 ft long. About how tall is the​ tree?

Answers

Answer:

38.57 feets

Step-by-step explanation:

Given that:

Height of monument, h = 300ft

Shadow of monument, s = 210 ft

Shadow of tree, s = 27ft

Height of tree, = x

Using the relation :

Height / shadow = height / shadow

Monument = tree

300 / 210 = h / 27

Cross multiply

300 * 27 = 210 * h

8100 = 210h

h = 8100 / 210

h = 38.57 feets

find the length of NO

find the measure of

Answers

Answer:4-2+3 Step-by-step explanation:8

What is the degree of this Polynomial!!!!

Answers

Answer:

4

because it is the greatest power in the polynomial

PLS HELP ME pls???!! I’m

Answers

Answer:

13.5 centimeters

Step-by-step explanation:

Solution #1:

15 * 0.9 = 13.5

Solution #2:

15 * 0.1 = 1.5

15 - 1.5 = 13.5

PLEASE HURRY !!!
B
c
Which statement is correct for AABC and AA'B'C'?
SABC - AA'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1 and then rotating it about the origin by 90 degrees
6
AABC - AA'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 180 degrees
AABC - AA'BºC, because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 180 degrees
AABC - AA'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 90 degrees
3

Answers

Answer:

2nd choice

Step-by-step explanation:

1. dilation factor: 1/2

2. rotation: about origin anti-clockwise 180°

Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We have to find the statement which is correct for triangle ABC and triangle A'B'C'.

Let us find the coordinates of triangle ABC

A=(2, 2), B=(2, 10) and C=(8, 12)

After transformation the triangle A'B'C'.

Coordinates A' = (-1, -1), B(-1, 5) and C'(-4, 6)

The scale factor is 1/2.

A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size.

Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 180 degrees.

Hence, Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ7

Michael practiced his harmonica 3 times as long as Timothy did. Michael practiced for 126 minutes. Write an equation that represents the relationship between the amount of time Timothy practiced x and the amount of time Michael practiced.

Answers

Answer:

126 = 3x

Step-by-step explanation

your equation is: 126=3x

1) Find the slope and the y-byintercept of the line that passes through the points (1,5) and (3,9)

Answers

Answer: slope= 2, y-intercept= 3

The volume of the rectangular prism to the left is represented by the equation V = x ^ 4 + 11x ^ 3 + 34x ^ 2 + 5x - 75 Using what you know about these shapes, whose volumes are calculated using the formula V = lwh find the expression that represents the height (h). Length = x+5, Width = x+3

Answers

Answer:

[tex]h = x^2+3x-5[/tex]

Step-by-step explanation:

Given

[tex]V = x^4 + 11x^3 + 34x^2 + 5x - 75[/tex]

[tex]L = x + 5[/tex]

[tex]W = x + 3[/tex]

Required

Determine the height (h) of the prism

Volume is calculated as:

[tex]V =lwh[/tex]

Substitute values for V, l and w

[tex]x^4 + 11x^3 + 34x^2 + 5x - 75 = (x + 5) * (x + 3) * h[/tex]

Factorize the expression on the left-hand side

[tex](x+3)(x^3+8x^2+10x-25)= (x + 5) * (x + 3) * h[/tex]

Further, factorize:

[tex](x+3)(x+5)(x^2+3x-5)= (x + 5) * (x + 3) * h[/tex]

Divide both sides by (x+3)(x+5)

[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= \frac{(x + 5) * (x + 3) * h}{(x+3)(x+5)}[/tex]

[tex]\frac{(x+3)(x+5)(x^2+3x-5)}{(x+3)(x+5)}= h[/tex]

[tex](x^2+3x-5)= h[/tex]

[tex]x^2+3x-5= h[/tex]

[tex]h = x^2+3x-5[/tex]

The height of the prism is [tex]x^2+3x-5[/tex]

Can anybody help me please?

Answers

Answer:

Well B

Step-by-step explanation:

Just make the graph and compare them. Graph B. can be seen below

Answer: Well B

Step-by-step explanation:

Calculating, the rate was found out to be

y= 2.5x

Let y1= 0, y2= 10

x1= 0, x2= 4

(y2-y1)/(x2-x1) = (y- y1)/(x- x1)

(10-0)/(4-0) = (y-0)/(x-0)

10/4 = y/x

y= (10/4)x= 2.5x

Tori bought 5 bricks. Altogether, the bricks weighed 58.35 pounds. How much did each brick weigh?​​

Answers

Answer:

6433333356789

Step-by-step explanation:

Answer:

the poounds is of number

Step-by-step explanation:

welcome to branly

A lion's heart beats 6 times in 8 seconds. How many heartbeats will it have in 40 seconds?

Answers

Answer:

30 times

Step-by-step explanation

Answer:

30

Step-by-step explanation:

At a wedding reception, the caterer served fishing chicken. The fish dinner cost $12 per person in the chicken cost $9 per person. The caterer charged 2544 total for the dinner. If 232 people went to the reception, how many people had fish how many had chicken.

Answers

Answer:

80 persons haf fish and 152 persons had chicken

Step-by-step explanation:

Given data

let the number of persons that had fish be x and chicken be y

so

12x+9y=2544------------------1

x+y= 232------------------------2

from 2

x= 232-y

substitute the value of x in 1

12(232-y)+9y=2544

2784-12y+9y=2544

2784-3y=2544

3y= 2784-2544

3y=240

y= 240/3

y=80

put y= 80 in 2

x+80= 232

x= 232-80

x=152

Hence 80 persons haf fish and 152 persons had chicken

Which fraction is equivalent to -3/2

Answers

Answer:

Any fraction that will reduce to -3/2 will be equivalent to -3/2.

Examples:

-6/4

-24/16

Answer:

-6/4

Step-by-step explanation:

You can just multiply them by any factor. Remeber that what you do to the bottom you do to the top.

So,

-3/2 x 2

-6/4 (this is a fraction equivalent to it.

hope this heped :)

I WILL GIVE BRAINLIEST!!!
Complete the statement.
Greater than, equal to, or less than?

Answers

Answer:

x is smaller than 10in so x<5

Step-by-step explanation:

Find the slope of the line that passes through (0, -5) and (3, -4)

Answers

Answer: I believe it is 2

slope=y2-y1/x2-x1

y2-y1= (0,-3)

x2-x1= (4,5)

m=5-(-3)/4-0

m=2


Pls help I have no idea what the answer is

Answers

Answer:

Step-by-step explanation:

x/5=5/2

x=25/2

x=12.5

Everything at a store is on sale for 25% off. The regular price of a jacket is $35.00. What is the discount price?

Answers

Answer:

$26.25

Step-by-step explanation:

35(1-0.25)

= 35(0.75)

= 26.25

Lets get 5% by dividing 35 by 20
Each 5% is 1.75
Need 5 of these so 8.75
Because it is a discount 35-8.75=$26.25

5/8 of x is 1 1/4. what is x?

Answers

Step-by-step explanation:

5/8 of x is 1 1/4

5/8 x=1 1/4

5/8 x=5/4

x=5/4×8/5=2

HELP PLS use the original price and markup to find the retail price. original price $68 markup 20%

Answers

Answer: $81.60

Step-by-step explanation:

When we have an original price OP, and a markup of X% (this is how much increases the price with respect to the original price)

The retail price will be:

RP = OP + (X%/100%)*OP

RP = OP*(1 + X%/100%)

In this case, we have:

Original price = OP = $68

markup = X% = 20%

Replacing these in the above equation, we get:

RP= $68*(1 + 20%/100%) = $68*(1 + 0.20)

RP = $68*(1.20) = $81.60

Then the retail price of this particular item is $81.60

What is the equation of the function that is graphed as line a? y= 2x - 1 y= -x y = 3x y= - x - 1

Answers

Answer:

y= - x - 1

Step-by-step explanation:

You can see it goes through -1 on both axis' and it's the opposite way, making it -x

PLEASE i need help

Select all of the expressions that are equivalent to: 8 x 8 x 8 x 8 x 8


8 x 8^4

8^3 x 8^2

5(2^3)

(2^3)^5

8^5

8^3 / 8^2

8^4 / 8^2

Select all the expressions that are equivalent to
6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6

6^9

216 + 6^6

216 x 6^6

6^5 + 6^4

6^7 + 6^2

6^5 x 6^4

9^6

Answers

1. 8^3 * 8^2, 8^5, and (2^3)^5
2. 6^9, and 6^5 x 6^4
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