13. Factor the expression completely
5x²-30x+45

Answers

Answer 1

Answer:

5(x-3)(x-3)

Step-by-step explanation:

First we can divide everything by 5:

[tex]\frac{5x^{2} -30x+45}{5} = x^{2} -6x+9[/tex]

Now we find 2 numbers that multiply to give +9 and add to give -6:

This would be -3 and -3. Now we substitute these numbers inside of -6 by splitting -6x into -3x and -3x:

[tex]x^{2} -3x-3x+9[/tex]

Now we factor the first 2 terms:

[tex]x(x-3)[/tex]

Now we factor the last 2 terms:

[tex]-3(x-3)[/tex]

Now we only copy one bracket and the things outside the bracket we put them into 1:

(x-3)(x-3)

Now we multiply everything by 5 :

5(x-3)(x-3)

Answer 2

Answer:

5(x-3)( x-3)

Step-by-step explanation:

First we notice that all the factors are divisible by 5 because the ending of the coefficients is 0 or 5

5 (x² -6x+9)

5 ( x -3) ² , because x² -6x+9 = 9x-3)²

5 (x-3)( x-3)


Related Questions

How do I solve this problem

Answers

BIDMAS tells you to do brackets first so
3^4 is 3x3x3x3 which would be 81
You then times that by 2 which equals 162

Answer:

C) 162

Step-by-step explanation:

Use PEMDAS (Parentheses, Exponents, Multiply/Divide{Left to Right}, Add/Subtract{Left to Right})

1. Parentheses

[tex](3^4)=3*3*3*3=81[/tex]

2. Exponents

None

3. Multiply/Divide{Left to Right}

[tex]2*81=162[/tex]

4. Final Answer

[tex]2(3^4)=162[/tex]

What is the formula to solve pi from area?

Answers

Answer:

The formula to solve pi to get the area is 3.14r × 2 = Area

3.14 × (radius) × 2 = Area

The formula to solve pi from area is 3.14r x 2 = A.

Math Homework Question.

Answers

Answer: 18 pi

Step-by-step explanation:

Circumference = 2 pi r

Radius (r) is 9 mi

So just multiple 2 x 9 to get 18 and keep the pi.

I think the answer is 18 pi that is what I got

Answer please! you'll get free brainly subscription :)

Answers

Answer:

12/40

top is number of times it landed and bottom is total trys

In the morning, the temperature is "-5'F." The temperature increases by 13'F, then decrease by 5'F. Write an equation to represent the situation.

Answers

The answer is
(-5 + 13) - 5 = 3

The equation to represent the temperatures are A = ( -5F ) + ( 13F ) - ( 5F )

What is an 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 equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the initial temperature in the morning be a = -5F

Now , the increase in temperature is b = 13F

And , the decrease in temperature is c = -5F

On simplifying the equation , we get

A = a + b + c

A = ( -5F ) + ( 13F ) - ( 5F )

Therefore , the value of A is  ( -5F ) + ( 13F ) - ( 5F ) = 3F

Hence , the equation is A =  ( -5F ) + ( 13F ) - ( 5F )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ7

please help
This triangle is:
A) Isosceles
B) Equilateral
C) Right
D) Scalene

Answers

The answer is B. Equilateral because they are all the sides are the same size
Answer: B) Equilateral

BRAINLOEST, jelp please
Casey ran 36 feet. How many yards did Casey run?

A.3
B.8
C.12
D.4

Answers

Answer:

C. 12 yards

Step-by-step explanation:

There are 3 feet in one yard, meaning we can divide 36 feet by 3 feet per yard to get the answer.

36/3 = 12

There are 12 yards in 36 feet.

(System word problems, 13 points)
Basketball tickets were $5 for floor seats
$2 for the grandstand seats
I’d 210 people attended and paid $660, how many people bought floor seats?

Answers

Answer:

130 people's bought floor seats ...

Explanation:

→ First , we need to identify and define the unknown terms.

F: # of floor seats sold

G: # of grandstand seats sold

• F + G = 210 {210 is the total number of seats sold}

• 5F + 2G = 660 {the 5 , 2 and 660 refer to amounts of dollars} .

→ We now have two equations in two unknowns , which we should be able to solve.

→ Let's solve the first equation for G, and then substitute the value of G into the second equation , so that we have will have a single equation with only F as the unknown ...;

→ F represents the number for which we are looking: The number of floor seats sold.

Let's find numbers of people's bought floor seat:

F + G = 210

F - F + G = 210 - F

G = 210 - P

→ 2F+ 5G = 660

→ 2F + 5(210 - F) = 660

→ 2F + 1050 - 5F = 660

→ - 3F + 1050 = 660

→ - 3F + 1050 - 1050 = 660 - 1050

→ - 3F = - 390

→ F = - 390 / - 3 = 130

→ F = 130

• Hence , 130 people's bought floor seats ...

Hope this helps you :) ...

#Carry on learning# :) ...

A true or false test has 5 questions. what is the probability of guessing the correct answers to all the questions?

Answers

Answer:

C) [tex]\frac{1}{32}[/tex]

Step-by-step explanation:

There are only two options: right or wrong.

Right for each question: [tex]\frac{1}{2}[/tex]

Since there are 5 questions, and 5 right answers are desired: [tex]\frac{1}{2} * \frac{1}{2} * \frac{1}{2} * \frac{1}{2} * \frac{1}{2}[/tex]

= [tex]\frac{1}{32}[/tex]

Janey paints a block of wood with gold glitter for an art project. The block measures 8 inches by 10 inches by 20 inches.

After she's done, she decides to make two blocks by cutting through the block on the red line. She still wants each block to be covered with gold glitter.


What is the total area of the cut surfaces she still needs to paint?

Answer the questions to find out.

1. What is the shape of each cut surface? What are its dimensions? (3 points)

Answers

Answer:

160

Step-by-step explanation:

I think that this is the answer. please let me know if I am wrong.

Answer: i think 160 but not completely sure

Step-by-step explanation:

HeLp wilL GiVe BraNIliEsT
Decide if each question is statistical or non-statistical. Explain your reasoning.

Answers

Answer:

Question A is satistical

Step-by-step explanation:

a satistical question is a question that you can answer by collecting data

sence you will need the temperatures for December for each 10 years that would be data unlike question B.

Question B: you will need to collect the warmest temperature in December from the past 10 years.

negative positive or no association

Answers

Answer:

Positive association

Step-by-step explanation:

As the Temperature goes up the more money you have to spend because you pay for the electricity that produces the heat

positive association is when one varriable increases so does the other.

Positive association

please help me with this

thank you!

Answers

After applying index notation take the biggest of both comparison

5 square x 3 square x 7 cube x 11 to the power of six x 13 to the power of four. That will be your answer

please help me with this math problem

Answers

Answer:

525

Step-by-step explanation:

3000/200 = 15

15x35 = 525

Lamar got a 75, 89, 94, 95, 88, 96, 94, 82, 98, and 96 on his science tests last quarter. What is the mean absolute deviation of the data? Round to the nearest tenth.


(please reply in a few hours at max)

Answers

the answer to this is 5 ( i think )
i believe it’s 5 so yeahhhh

please help :( this is legit like 2 months old... pt 1

Answers

Answer:

1) x<6750

2) variable equation is 8x+16≤80, answer is 8

Step-by-step explanation:

1) do 15x450 to figure out the highest number it could be and it could be any number lower than that.

2) 8x bc each earring is 8, 16 bc the nail paint, and 80 bc thats her budget, or equal to bc she can spend that amount

for the answer substract a6 so 8x and 64, divide by 8 so x=8

Answer:

1.  n≤6,750    

Step-by-step explanation:

2.  n≤8      she can buy as many as 8 pairs of earings

work

8n≤80-16

8n≤64

Complete the table to make a proportional relationship between weight and price.

Answers

$17.50

First divide $7.00 by 2 to get the 1st pound.
$7.00 divided by 2 = $3.50
Multiply by the 5 pounds
$3.50 • 5 = $17.50

Answer the question in the screenshot

Answers

Answer:

A. 29

B. 22

C. 36

Step-by-step explanation:

To find the median, you have to put the numbers in order from least to greatest which would be 18, 19, 22, 28, 28, 30, 32, 36, 37, 42. Then you find the number in the middle, and there are 10 numbers. So, you split them in half and 18, 19, 22, 28, 28 would be on one half, and 30, 32, 36, 37, 42 would be on the second half. The middle of 28 and 30 is 29, so that is your median.

To find the lower quartile, you have to divide the numbers into two sides with the lowest numbers on one side and the highest numbers on the other. Since there are 10 numbers, there will be 5 on each side. On the lowest number side there will be 18, 19, 22, 28, 28. To find the lower quartile, you find the middle number of the 5 numbers. 22 is in the middle, so that is the lower quartile.

To find the upper quartile, you have to take the highest numbers which are 30, 32, 36, 37, 42. Then you find the middle number, just like finding the lower quartile. The number in the middle is 36, so that is the upper quartile.

a- 29
b- 22
c- 36
hope this help!!

A box plot is shown below:

A box and whisker plot is shown using a number line from 20 to 45 with primary markings and labels at 20, 25, 30, 35, 40, 45. In between two primary markings are 4 secondary markings. The box extends from 26 to 38 on the number line. A line in the box is at 31. The whiskers end at 20 and 43. The title of the art is Visitors at the Exhibition, and below the line is written Number of Visitors.
HURRY I WILL GIVE BRAINLIEST IF FAST
What is the median and Q1 of the data set represented on the plot?

Median = 31; Q1 = 26
Median = 30; Q1 = 26
Median = 31; Q1 = 20
Median = 30; Q1 = 20

Answers

Could u send a pic of it? It would be easier for me.

Answer:

im not good at math but i think its a

Step-by-step explanation: i made sense to me since it said "the box extends from 26 to 21"

Sarah’s mom took 3 hours to clean, but when Sarah helped, it took them 2 hours to clean. How many hours will it take Sarah to clean herself?

Answers

Answer:

It takes them 1.875 hours.

Step-by-step explanation:

Here, the job is cleaning the house.

Mom does 1 job in 3 hours.

In 1 hour, mom does 1/3 of the job.

Dad does 1 job in 5 hours.

In 1 hour, dad does 1/5 of the job.

Mom and dad working together do the job in x hours.

In 1 hour, mom and dad together do 1/x of the job.

1/3 + 1/5 = 1/x

5/15 + 3/15 = 1/x

8/15 = 1/x

8x = 15

x = 15/8 = 1.875

Answer: It takes them 1.875 hours.

your welcome

You select 35 marbles from a bag. The results are as follows: 4 blue marbles, 9 green marbles, 7 red marbles, 7 white marbles, and 8 yellow marbles. Find P(green). Write the probability as a fraction in simplest form, a decimal, and a percent.

Answers

You just take the number of the color of interest (green) and divide by total marbles

9/35 = 0.257 ~~ 25.7%

Problem:
4 × 32 + 8 ÷ 2 - (5 + 3)

Answers

Answer:

124

Step-by-step explanation:

is in the photo

i hope this helps :)

Answer:

124

Step-by-step explanation:

4 x 32 = 128

128 + 8 divided 2 - (5 + 3 )

divide 8 and 2 = 4

128 + 4 - ( 5 + 3)

add 5 + 3 = 8

128 + 4 - 8

Answer: 124

Answer ASAP and whoever answers correctly can have brainliest

Answers

Answer: D (0.05, 0.0516, 16%, 5/16, 5.16)

Step-by-step explanation: First you gotta know what 16% and 5/16 are in decimals.

16/100=  0.16

5/16 = 0.3125

It becomes easy now and from least to greatest is D

Answer: D 0.05, 0.0516, 5/16, 5.16

Please help me im not an intellectual

Answers

Answer:

42

Step-by-step explanation:

start at one of the points and count the squares up and around until you get back to where you started from

12+15+6+9=42

This table gives average annual salaries for four jobs. Based on this information, how much more money would a mason earn than a biologist over 15 years? $71,550 $196,800 $418,050 $489,600

Answers

Answer:

the answer is 71,550

explanation by step-by-step:

1. multiplay the salaries of the biologing and mask by 15. Mason: 61,750(15)= 926,250. Biologist: 56,980(15)= 854,700. 2 the two product are subtract. mason-biologist. 926,250-854,700= 71,550.

  While shopping for​ clothes, spent ​$ less than times what spent. spent ​$. Write and solve an equation to find how much spent. Let x represent how much spent.
Question content area bottom
Part 1
The equation that can be used to determine how much has spent is
3x - 61 = 17

How much did Daniel spend?

Answers

Answer:

he spent 19$

Step-by-step explanation:

He spent 26$ first you add 61 on both sides so -61+61 is 0 , get that out, and add 61 to 17 which u get 78 then divide that by 3x and u get 26$!

An engineer is planning a new water pipe installation. The circular pipe has a diameter of d
What is the area of the circular cross section of this pipe?
Give your answer in terms of pi.

Answers

The answer is 314.28 cm² (approx.).

please help i have been stuck on this for almost a hour

Answers

5^2 + 2^2 = x^2 , so the next step is 25 + 4 = x^2, which is 29 = x^2 , then square root it so x = 5.4. So i think it’s 5.4.

Find the surface area of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

4247.4 (1 d.p.)

Step-by-step explanation:

The formula for the surface area of a cylinder is [tex]A=2\pi rh+2\pi r^{2}[/tex], where A is the surface area, r is the radius, and h is the heightPut in the values[tex]A=2\pi\times 13\times 39+2\pi\times 13^{2}[/tex][tex]A=1014\pi +338\pi[/tex][tex]A=1352\pi=4247.4[/tex]

Answer:

4245.3cm

Step-by-step explanation:

8 people height were measured, the results were: 56, 68, 72, 45, 60, 62, 70, 23. What is the mean?

Answers

Answer: 57

Step-by-step explanation: U Add All Them Up And Divide Bye The Numbers There Are Which In This Case Was 8!

Answer:

57

Step-by-step explanation:

The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.

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