factor completely x^2+6x-27?

Answers

Answer 1

Answer:

(x+9)(x-3)

Step-by-step explanation:

Find the number that multiplies to make -27 and adds to make 6. In this case it is 9 and -3. Use these numbers to factorise.

Answer 2

Answer:

(x-3) (+9)

Step-by-step explanation:

To know what numbers to use, factor out the constant (-27).

You would get the numbers : 1,3,9,27.

Then figure out which numbers would make the 6x true. In this case, we would need the 3 and 9. They also need to add up to 6x, so the 3 needs to be negative.

-3 & 9

Then form the factors:

(x-3) (x+9)

--------------------------

You can also check this to make sure.

Have a nice day!


Related Questions

In the diagram to the right, a right circular cone has a diameter of 8 inches and a height of 12 inches.What is the volume of the cone to the nearest cubic inch? A. 201 in3 B. 481 in3 C. 603 in3 D. 804 in3

Answers

Answer:

(A) 201

Step by step explanation :

Volume of a cone is approximately equal to [tex]\boldsymbol{201}[/tex] inches.

So, option A. is correct.

Volume of cone

A cone is a three-dimensional geometric object with a smooth trans-ition from a flat base to the ap-ex or vertex.

Radius of a cone is half of the diameter.

Radius of a cone [tex](r)=\frac{8}{2}[/tex]

                                 [tex]=4[/tex] inches

Height of a cone [tex](h)=12[/tex] inches

Volume of a cone [tex]=\frac{1}{3}\pi r^2 h[/tex]

                              [tex]=\frac{1}{3}(\frac{22}{7} ) (4)^2 (12)[/tex]

                              [tex]\approx 201[/tex] inches

So, volume of a cone is approximately equal to [tex]\boldsymbol{201}[/tex] inches.

So, option A. is correct.

Find out more information about cone here:

https://brainly.com/question/2920315?referrer=searchResults

Josephina is five years older than cameron... and the sum of their ages is 31
How old is Josephina??

Answers

Answer:

josephina is 20 years old

Step-by-step explanation:

please mark brainliest

Answer:

20años

Step-by-step explanation:

Can the sides of a triangle have lengths 1, 2, and 5? A. Yes B. No

Answers

Answer:no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

It can't have a side of 1, 2, and 5 because any two sides of a triangle must be larger then the 3rd side.

1 + 2 = 3 is not larger then the 3rd side which is 5

i’ll award brainliest! no links

Given ABC is congruent to XYZ. If AC = 10, determine the length of YZ.

Answers

YZ=8.66 see pic for work

witch fraction is equivalent to 4/20

Answers

Answer:

2/10

Step-by-step explanation:

smart 'v'

Answer:

2/10, 1/5, 8/40

Step-by-step explanation:

please mark as brainliest

ok so divide both by  4

and 2 and go on

pls answerrrerrrrrrrr

Answers

Answer:

x = 5 or -1

We reject the second answer of x = -1

This is because upon substituting, it will give a negative number which the logarithm value of a negative number is not obtainable

So our only correct answer here is x = 5

Step-by-step explanation:

From the logarithmic rules;

log a - log b = log (a/b)

Applying this here, we have;

log4(x^2-4/4x+ 1) = 0

(x^2-4)/(4x+ 1) = 4^0

(x^2-4)/(4x + 1) = 1

x^2 -4 = 1(4x + 1)

x^2 -4 = 4x + 1

x^2 - 4x -4-1 = 0

x^2 -4x -5 = 0

x^2+ x -5x -5 = 0

x(x + 1) -5(x + 1) = 0

(x-5)(x + 1) = 0

x = 5 or -1

Imagine that you need to create a scale drawing of this sign. The scale drawing will
be used to create a mold that will be used to manufacture the sign. Use the grid to
make a scale drawing of this sign. Include a key to show the relationship between
the dimensions in the scale drawing and the dimensions of the actual sign. Label all
sides in the scale drawing. Show your work. (3 points)

Answers

A scale drawing with a 1: 0,8 scale will have sides that measure 2.24, 1.6, and 3.2.

What is a scale drawing?

A scale drawing refers to a drawing that has been made bigger or smaller but preserves the proportions of a drawing.

How to make the scale drawing of the sign?

The first step is to decide the scale. In this case, the best scale is 1:0.8, which means the new drawing is 0.2 smaller. This scale is ideal because this sign is slightly bigger than regular signs.

Draw the sign by multiplying each side by the scale (0,8).

Learn more about scale drawing in: https://brainly.com/question/26467371

HELP WITH THIS PLEASE

Answers

Answer:

P = 10x + 4

Step-by-step explanation:

Formula to find perimeter:

P = 2(l + w)

P = 2(2x + 3x + 2)

P = 2(5x + 2)

P = 10x + 4

please help beacsue i need to get 67 since im grounded and need good grades

Answers

[tex] \frac{4}{5} \times 10 = (\frac{4}{5}) (\frac{10}{1} ) = \frac{(4)(10)}{(5)(1)} = \frac{40}{5} = 8[/tex]

1. Determine whether each expression is equivalent to (4x)2/3. Select Yes or No for each expression.

Answers

here it is in bio they wont let me type it

Hometown Donuts recently sold 19 donuts, of which 6 were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut?

Answers

Answer:

13

Step-by-step explanation:

Hometown Donuts recently sold 19 donuts, of which 6 were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut?

Write your answer as a fraction or whole number.

-------------------------------------------------------------------------------------------------------------

Remember That The experimental probability is the number of times an event occurs out of the total number of trials.

-------------------------------------------------------------------------------------------------------------

So. Write the experimental probability as a fraction in simplest form: P(Cream-Filled Donuts) = Cream-Filled Donuts over / divided by the total (Cream-Filled Donuts/Total)

-------------------------------------------------------------------------------------------------------------

= 6/19

-------------------------------------------------------------------------------------------------------------So, The Answer Would Be 6/19

This is the right answer, I had the same question ^^

A bacteria culture initially contains 2000 bacteria and doubles every half hour.


-Find the size of the bacterial population after 100 minutes.


-Find the size of the bacterial population after 10 hours.

Answers

Answer:

the size of the bacterial population after 100 minutes is 20,158.7 bacteria

the size of the bacterial population after  10 hours is 2097152000 bacteria

Step-by-step explanation:

Given that

The bacteria contains 2000

It would be double at every half hour

We need to find out the size of the bacteria after 100 minutes & 10 hours

So,

The size of the bacteria after 100 minutes is

= 2000 × 2^(100 ÷ 30)

= 2000 × 10.079

= 20,158.7 bacteria

Now the size of the bacteria after 10 hours is

10 hours = 10 × 60 minutes = 600 minutes

= 2000 × 2^(600 ÷ 30)

= 2097152000 bacteria

I’ll give brainliest for whoever is correct

Answers

Answer:

Step-by-step explanation:

1.)12.

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator.

Thus, the answer to 4 divided by 1/3 in fraction form is:

[tex]\frac{12}{1}[/tex]

To make the answer to 4 divided by 1/3 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

12

The answer is rounded to the nearest two decimal points if necessary.

[tex]\frac{12}{1}[/tex] is an improper fraction and should be written as 12.

2.) 9

4(5-2x)+3=7 step by step pls

Answers

Answer: x = 2

The step by step is attached to this answer, hope it helped!

The sun shines on a 40ft tall building at an angle of depression of 62 degrees. How long is the shadow formed?

A. 21.2ft
B. 75.2ft
C. 45.3ft
D. 85.2

Answers

The shadow formed a 45.3ftttt

Find the measure of AC

Answers

Answer:

7 inch

Step-by-step explanation:

AC= BC+AB

= (BD-CD) + radius of B

= (radius of B-radius of D) + 4.5

=(4.5-2) +4.5

=2.5+ 4.5

=7 inch

I hope this is correct.

Can someone please help me

Answers

Answer:

Point Form:

(-3, -5)

Equation Form:

x = -3, y = -5

Step-by-step explanation:

Hope This Helps! : )

Tai has a bag of different-colored balloons. Without looking in the bag, she selects a balloon, records its color, and puts it back in the bag. All balloons are equally likely to be chosen. She performs 50 trials.

Number of times a red balloon was chosen 15

Number of times a yellow balloon was chosen18

Number of times a green balloon was chosen9

Number of times a pink balloon was chosen8

Based on the data Tai collected, what is the estimated probability, in simplest form, of choosing a yellow balloon from the bag?

A. 9/50

B. 18/100

C. 9/25

D. 50/18​

Answers

Answer:

9/25

Step-by-step explanation:

Winston earns $140.00 by selling 56 hotdogs at a concession stand at school Using the same rate for the cost of one hotdog, how many more hotdogs would Winston need to sell to earn a total of $175.00?

Answers

Answer:

175/2.5=70

Step-by-step explanation:

Which function represents the exponential function f(x) = 34 after a vertical stretch by a factor of 8 and a reflection across the x-axis?

A. g(x) = 3^-8x

B. g(x) = -3^8x

C.g(x) = 8.3-*3^-x

D. g(x) = -8*3^x

Answers

Answer:

D

Step-by-step explanation:-8×3x represents a vertical strech by a factor of

8 and a reflection across the x-axis.

The answer is D.

The two triangular prisms shown are similar. What is the volume of the larger prism? 36 m2 36 m3 144 m2 144 m3

Answers

Answer:

144 m^3

Step-by-step explanation:

Please find attached the image of the prisms

Volume of a triangular prism = area of the base x height  of the prism

Area of the base = 1/2 ( base x height)

the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle

ratio of their dimensions = 6 / 1.5 = 4

the dimensions of the bigger triangle is 4 times that of the smaller triangle

height of the base of the prism = 1.5 x 4 = 6

Height of the prism = 2 x 4 = 8

Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2

Volume of the prism = 18 x 8 = 144 m^3

Answer:

D. 144 m^3

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!!

Could somebody do this for me

Answers

Answer:

Step-by-step explanation:

an article bought a television for 2500 dollars and sold for 2325dollars find a.loss b.loss%​

Answers

Answer:

Loss= $175

Loss %= 7%

Step-by-step explanation:

First of all, you find the difference between 2500 and 2325 which is 175, as his has decreased, it is a loss of $175

To find the percentage you do the difference over the original amount

So 175/2500 which will give you 0.07

0.07 x 100 will give you 7%

if i made 80 dollars every weekend for a year, how much would i have​

Answers

Answer: You would have 4160$

Step-by-step explanation: there is 52 weeks in a year so 52 times 80

Answer: $4,160!!

The amount of money made multiplied by the amount of time

The equation of a line isy = 4x + 15.
What is the y-intercept of the line?

Answers

Answer:

15

Step-by-step explanation:

The y-intercept is 15 because the equation of the line is in slope intercept form where y=mx+b

m is slope

b is the y- intercept

Write the phrase as an expression. Then evaluate the expression when y = 12. the difference of a number y and 9 The expression is The value of the expression is​

Answers

Answer:

12-9 i think

Step-by-step explanation:

Because it says the difference if a number y and 9. If y equals 12 then shouldn't it be 12-9?

*** 7. Sam and Sue have only nickels and
dimes. Sue has 35€. Sam has the same number of
dimes as Sue has nickels, and he has half as many
nickels as Sue has dimes. How many nickels does
Sue have?

Answers

Answer:

there no photo so I cant answer without seeing it

What is the integer closest to the square root of 17

Answers

Answer:

4

Step-by-step explanation:

[tex]\sqrt{16}[/tex] = 4

Answer:

4.

Step-by-step explanation:

The square root of 17 is 4.12...

square root of 16 is 4

PLZ PLZ HELP, 1 QUESTION, WILL GIVE BRAINIEST PLZ ANSWER QUICK! LOTS OF POINTS! DON'T ANSWER IF UR NOT SURE THANK YOU SO MUCH!

Answers

Answer:

I believe the answer is 52.

Step-by-step explanation:

I used the shape given to find the surface area because nets are not fun and my brain likes shapes better.

Which rectangular prism has the greatest volume?

Answer asap!!

Answers

Answer:

b

Step-by-step explanation:

735\

Answer:

the top 1! it's bigger by 2cm length wise

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The three most common methods used by states are listed below:Method 1: Direct elections - Candidates raise money and campaign to be a judge. The voters then elect one of the candidates.Method 2: Appointment - In this method, state judges are appointed by the Governor. There is often no legislative approval required. A couple of states have the state legislature appoint judges, but usually it is the Governor.Method 3: The Missouri Plan - This is a compromise between methods 1 and 2. In the Missouri Plan, the governor appoints judges, but the governor must make each appointment from a list of three candidates recommended by a judicial nominating commission. The commission is made up of a sitting judge, several legal experts, and some private citizens. Each judge named by the governor serves until the next election. The judge's name then appears on the ballot without opposition. The voters decide, in a yes-no vote, whether or not that judge should be kept in office. Should the voters reject a sitting judge, the process begins again.Read the information above about the three methods most commonly used to select judges at the state level. Pick the method that you believe is the best. Write a paragraph persuading your fellow Ohioans that Ohio should start using this method. If you agree with how Ohio already chooses its judges, then persuade a different state to use our current method. Your essay needs to provide three (3) arguments supporting your method of choice, and you need to back these arguments up with supporting details. For example, you could use constitutional principles to back up your arguments.plz help Can someone answer these for me PLEASE?Rewrite the following sentences to show what the people are doing in the morning. Remember to use the correct reflexive pronouns and reflexive verbs.Example: Yo / levantarseMe levanto.1. Ella / baarse2. Pepita y Paco / cepillarse / los dientes3. Nosotros / lavarse / las manos4. 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