What is the complete factorization of x2 + 4x − 45?

Answers

Answer 1

Answer:

(x + 9)(x - 5)

Step-by-step explanation:

x^2 + 4x - 45

factorising by using middle term break method

=x^2 + (9 - 5)x - 45

=x^2 + 9x - 5x - 45

=x(x + 9) - 5(x + 9)

=(x + 9)(x - 5)


Related Questions

Find the area of the polygon.

Answers

11x3= 33
3x3=9x2=18
The area would be 51 because you can cut off the two squares making the sides be 3by3 then the rectangle would be 3by11. And you would do HxL. So the area is 51cm

Solve for x. See image below

Answers

Answer:

Step-by-step explanation:

Tangents from the point outside the circle are equal.

x + 7 = 13 +8

x + 7 = 21      {Subtract 7 from both sides}

     x = 21 - 7

x  = 14

How do I solve -11+9=2x+45?

Answers

Answer:

x = - [tex]\frac{47}{2}[/tex]

Step-by-step explanation:

Given

- 11 + 9 = 2x + 45 , that is

- 2 = 2x + 45 ( subtract 45 from both sides )

- 47 = 2x ( divide both sides by 2 )

- [tex]\frac{47}{2}[/tex] = x

A music store bought a CD set at a cost of​ $20. When the store sold the CD​ set, the percent markup was​ 40%. Find the selling price.

Answers

Answer:

$28

Step-by-step explanation:

cp=20

mp=20%ofcp

=20/100*20

=8

now,

sp=mp+cp

=8+20

=28

1. Divide.
b) (6x² + x - 12) + (2x + 3)​

Answers

Answer:

Step-by-step explanation:

Dividing :  6x2-x+12  

                             ("Dividend")

By         :    2x-3    ("Divisor")

dividend     6x2  -  x  +  12  

- divisor  * 3x1     6x2  -  9x      

remainder         8x  +  12  

- divisor  * 4x0         8x  -  12  

remainder             24  

Quotient :  3x+4  

Remainder :  24

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Step-by-step explanation:

[tex]1)Divide \ (6x^2 + x -12) \ by \ (2x + 3)[/tex]

     [tex]6x^2 + x -12 = 6x^2 + 9x - 8x -12[/tex]

                        [tex]=3x(2x + 3)-4(2x + 3)\\\\=(3x -4)(2x + 3)[/tex]

 [tex]\frac{6x^2 + x -12}{2x + 3} = \frac{(3x -4)(2x+3)}{(2x+3)} = (3x -4)[/tex]

The function f(x) = 0.50x represents the cost of x bagels at your local bakery, in dollars. Fernando wants to purchase 10 bagels at the bakery. How much would he have to pay?

Answers

I think he would have to pay 5 Dollar because if each bagels cost 50 cents and get ten 0.50 x 10 equal 5 dollars! I hope this helps!

Write down the complementary base strand for this DNA molecule. (no spaces, all capital)

ATCGCACGT

Answers

The answer is UAGCGUGCA I think

OLEASE HELP! DUE IN 5 MINUTES

Answers

I believe it would be (3,3)

1) Using LONG Division, is "X + 3” a factor
of the polynomial 2X + 3X² - 11X - 6
*Show all work just below

Answers

The answer is I don’t have to your lungs or anything else you can tell them that I

Edward went to the market with Rs 4x 2+y2+3y and spends Rs 2x 2+y for a packet of chips and chocolate for the remaining money. How much is the cost of chocolate?​

Answers

Answer:

Edward spent Rs 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 2y on chocolate.

Step-by-step explanation:

Initial amount with Edward = Rs 4[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 3y

The cost of a packet of chips = Rs 2[tex]x^{2}[/tex] + y

By assuming that Edward spent all his money at the market, and on both chips and chocolate. Then;

Amount spent on chocolate = Initial amount with Edward - cost of a packet of chips

                           = (Rs 4[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 3y) - (Rs 2[tex]x^{2}[/tex] + y)

                           = Rs (4[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 3y - 2[tex]x^{2}[/tex] - y)

                           = Rs (4[tex]x^{2}[/tex]  - 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 3y - y)

                           = Rs 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 2y

Amount spent on chocolate = Rs 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 2y

Therefore, Edward spent Rs 2[tex]x^{2}[/tex] + [tex]y^{2}[/tex] + 2y on chocolate.

The high school marching band has 15 drummers this year. The band director insists that there are to be 5 more trumpet players than drummers at all times. How many trumpet players are in the marching band.

Answers

Answer:

There will be 20 trumpet players in the band this year.

Write the standard form of an equation with p= 5 and phi= 4pi/3

Answers

Answer:

above the quadrant choose the numbers 5 and 4pi then multiply them by 3 to get your answer

Step-by-step explanation:

If 6 newborn babies are randomly selected, how many different gender sequences are possible?
a. 720
C. 12
b 36
d. 64

Answers

the answer that i got was 720 different sequence genders are possible if 6 new born babies are randomly selected

Answer:

D.64

Step-by-step explanation:

im not slow itz simple 2 to the power of 6

The figure above shows a circle with center Cand
radius 6. What is the sum of the areas of the two
shaded regions?
160
С​

Answers

Answer:

Sum of the areas of two  shaded regions = 100 unit² (Approx.)

Step-by-step explanation:

Given:

Radius of circle = 6 units

Angle of one unshaded area = 160'

Find:

Sum of the areas of two  shaded regions

Computation:

Angle of one shaded area = 180' - 160'

Angle of one unshaded area = 20'

Sum of the areas of two  shaded regions = 2[θ/360][πr²]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(6)²]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(36)]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(36)]

Sum of the areas of two  shaded regions = [0.888][113.04]

Sum of the areas of two  shaded regions = 100.46

Sum of the areas of two  shaded regions = 100 unit² (Approx.)

What is the greatest common factor of the polynomial below?
18x3 - 6x
A. 3x
B. 3x2
C. 6x
D. 6x2

Answers

Answer:

option C

Step-by-step explanation:

18x^2 - 6x

take common

6x(3x^2 - 1)

here 6x is greatest common factor of the polynomial

Answer:

c the greatest common factor

Need help ASAP DUE IN A COUPLE MINUTES PLEASE AND SHOW WORK ?!!!

Answers

Answer:

here u go

Step-by-step explanation:

what i did was 15*7 which is 105

and then i did 105/2 which is 52.5 ft

Answer:

V = 1237 cubic feet

Step-by-step explanation:

V of cylinder = πr^2h

r = 7.5 ft (15/2)

h = 7 ft

v = ((7.5)^2)π*7 = 1237.002107 cubic feet

Can someone pls help me with this

Answers

Answer:

C f=9

Step-by-step explanation:

isolate f on one side so you subtract 5 from both sides to get 3f=27 and then divide by 3 on each side to get f=9

Answer:

The value of F is 9

Step-by-step explanation:

3f+5=32

3f=32-5

3f=27

f=27/3

f=9

What is the initial value and what does it represent? ​

Answers

Answer:

The initial value is the beginning output value, or the y-value when x = 0.

Anne is doing a project on family size for social studies class. She collected data on the number of first cousins the kids in her neighborhood have. This histogram shows the data she collected.

Answers

Answer:

The data is nearly symmetricalOn average, kids in her neighborhood have about 15 cousinsThe mean and median are equal or nearly equal

HELP QUICKLY PLS WILL MARK BRAINLIEST

Answers

Number 1. 8 radical y^5

Which table of ordered pairs presents a proportional relation ship

Answers

Answer:

The 4th one

Step-by-step explanation:

The number are times -4

-3 x -4 = 12

-6 x -4 = 24

-9 x -4 = 36

So, the answer is the 4th one

SOMEONE HELP FAST PLEASE.

Answers

Answer:

f(0) = g(0)

Step-by-step explanation:

The functions intersect at x =0, which means they have the same y value at x=0

f(0) = g(0)

I don’t know what to do?

Answers

Answer:

I geuss because the scale factor is 2 that the resulting triangle will be almost twice the size. Because in a dilation you multiply it. If you dont know how to dilate a triangle with a compass I would suggest looking for a video online. But I know for the part that says "Is the image of ABC similar to the original triangle" the answer would be yes it is similar because you are just dilating the triangle not changing its orientation. I hope this helps! Good luck!

I. NEED. HELP! PLEASE!

Answers

Answer:

x = 2.5

Step-by-step explanation:

We know the adjacent and the opposite sides to the angle in a right triangle

tan theta = opp / adj

tan 26 = 1.2 /x

x tan 26 = 1.2

x = 1.2 / tan 26

x =2.46036461

Rounding to the nearest tenth

x = 2.5

tan tita = opp/adj

tan 26°=1.2/x

x=1.2/tan 26

x=2.46

x=2.5

the value of 16*2-3+14/7​

Answers

Answer:

31

Step-by-step explanation:

1)32−3+14/7

2)29+14/7

3)29+2

4) 31

Write an equation for a line that is perpendicular to the line 6y – 9x = 12

Answers

Answer:

y = -2/3x + 4

Step-by-step explanation:

first we take the original equation and convert it to y=mx+b (a form we know how to graph)

that gives us y = 3/2x + 2

(Here's my work for that):

6y - 9x = 12; add 9x on both sides

6y = 9x + 12; divide 6 on both sides

y = 9/6x + 12/6

y = 3/2x + 2

next to make a line *perpendicular* to this, we make the slope negative and swap the fraction (-2/3)

then we just uh graph that slope and try to find the y intercept. i did it already and i got 4

Answer:

Step-by-step explanation:

You need one more piece of information to get a specific line. I'll get the general one and then we'll see what comes of it.

Add 9x to both sides.

6y - 9x + 9x = 9x + 12

6y = 9x + 12                   Divide by 6

6y/6 = 9x/6 + 12/6

y = 1.5x + 2

Now the perpendicular line must have a slope that is found by using

m1 * m2 = - 1

m1 = 1.5             From the equation above.

1.5 * m2 = - 1     Divide by 1.5

m2 = -1/1.5

m2 = - 2/3

So far what you have is

y = -2/3 x + b                  You need a value for b. Usually that is found with a point. But I will just call b = 1 since there is nothing else to do

The complete equation becomes

y = -2/3 x + 1

The graph is enclosed.

Question in the picture ^

Answers

Step-by-step explanation:

try use ruler for AB , AC , & BC ,

then find the area of

PLEASE WHAT IS THE ANSWER????

Answers

Answer:

6

Step-by-step explanation:

A = 4 cm * 3 cm/2

A = 6 cm^2

Answer:

6

Step-by-step explanation:

Runelle collected river water for an experiment. She poured it into 8 jars. Each jar had the mixed number two and three fourths pints of water. What is the total amount of river water Runelle collected?

Answers

Answer: 22 pints of water

Step-by-step explanation:

Runelle collected river water and poured in eight jars such that each jar had 2³/₄ of water.

The total amount of water collected by Runelle from the river will therefore be the sum of all the water in the 8 jars and because they are the same, we can simply multiply the quantity in one jar by 8 to see the sum:

= Amount of water in one jar * 8 jars

= 2³/₄  * 8

= 11/4 * 8

= 22 pints of water

What is the domain of the function graphed below?

Greater than or equal- >=
Less than or equal -<=

A)x<7
B)x<=7
C)-2<=x<=3
D) all real numbers

Answers

Answer:

A

Step-by-step explanation:

The domain of the function graphed below is set of all numbers less than 7 or x<7.

What is the domain of a function?

The domain of a function f(x) is the set of points(representing independent variable x) to define the function.

In the shown graph of the function,

The given function is defined everywhere except 7 and greater than 7.

So, the domain of the function is x<7.

Hence, the  domain of the function graphed below is set of all numbers less than 7 or x<7.

To get more about domain visit:

https://brainly.com/question/26098895

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