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Multiplying a Binomial by a Binomial
Warm-Up
BRES
Multiply: (3x - 5)(-x+4)
Applying the distributive property, the expression becomes (3x)(-x) + (3x)(4) + (-5)(-x) + (-5)(4).
What is the simplified product in standard form?
1-34
7

Answers

Answer 1

Given:

Multiply: [tex](3x-5)(-x+4)[/tex].

To find:

The simplified product in standard form.

Solution:

We have,

[tex](3x-5)(-x+4)[/tex]

Applying the distributive property, the expression becomes

[tex]=(3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4)[/tex]

[tex]=(-3x^2)+12x+5x+(-20)[/tex]

On combining like terms, we get

[tex]=-3x^2+(12x+5x)-20[/tex]

[tex]=-3x^2+17x-20[/tex]

Therefore, the simplified product in standard form is [tex]-3x^2+17x-20[/tex].


Related Questions

14.976 divided by 6 with remainder

Answers

Answer:

0

Step-by-step explanation:

it's divided evenly with no remainder

0 no remainder !! Ndnehensbebe

72 = –6(y + 37)
plz help

Answers

Answer:

-49

Step-by-step explanation:

you can first divide both sides by -6

so

-12 = y+37

so y = -12-37 = -49

If your good at math plz help me

Answers

Answer:

If your good at math plz help me

i think this is the answer, hope A(-3)=n-5

Answer for the box:   -5n+2

==================================================

Work Shown:

[tex]a_1 = -3 = \text{ first term}\\\\d = -5 = \text{ common difference}\\\\a_n = a_1 + d(n-1) = \text{ nth term}\\\\a_n = -3 + (-5)(n-1)\\\\a_n = -3 -5n + 5\\\\a_n = -5n + 2\\\\[/tex]

The common difference is due to us adding -5 to each term to get the next one. Example: -3+(-5) = -8, or -8+(-5) = -13.

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

As a way to check if we have the correct nth term formula, plug in values of n to see if we get the correct sequence value

For instance, if n = 1, then

[tex]a_n = -5n+2\\\\a_1 = -5(1)+2\\\\a_1 = -5+2\\\\a_1 = -3\\\\[/tex]

Which matches with the first term given to us.

Or if n = 2, then,

[tex]a_n = -5n+2\\\\a_2 = -5(2)+2\\\\a_2 = -10+2\\\\a_2 = -8\\\\[/tex]

That matches the second term given to us. I'll let you check the others.

Is this a positive trend or negative trend or no trend please help ​

Answers

Answer:

negative trend because the values are decreasing

There are 15 students in the Drama Club and 7 students in the Speech and Debate Club. What is the ratio of Drama Club members to Speech and Debate Club members?

Answers

Answer: The answer is 15:7

Answer:

15:7

Step-by-step explanation:

PLEASE ANSWER ASAP!
2(h -3.5) = -11
what is h?

Answers

Answer: -2

Step-by-step explanation:

2(h -3.5) = -11 Distributive property

2h - 7 = -11. Add 7 to both sides

2h = -4. Divide both sides by 2

h = -2

Answer: The answer is -2 :)

Step-by-step explanation: 2(h -3.5) = -11  distributive propert

2h-7=-11 Add  -7 to both side

     +7  =+7

2h=-4 Divide 2 to both side

2  =  2

h=-2

SOLVE FOR X. pls i need help

Answers

X=8
Set up proportions would give you: 10/3x+1 = 22/7x-1
With that in mind, cross multiply, which would give you: 10(7x-1) = 22(3x+1).
Turns into: 70x -10 = 66x+22. Then just solve for x

find the measusre of the angles.

Answers

Answer:

1, 3, 5 =117

2, 4, 6, 7= 63

Step-by-step explanation:

Since we know that one angle is 117 degrees, 5, 1 and 3 will also be 117. 2, 4, 6 and 7 will also be the same. 117 plus 117 is 234. 63 + 63 = 126. 234+ 126 = 360.

Can someone please help? :)

Answers

Answer:

5

Step-by-step explanation:

Answer:

42.....? i dont know-if im wrong im so sry-im bad at this stuff

Step-by-step explanation:

happy new year!

Find all solutions of sinx-sqrt1-3sin^2x=0

Answers

Answer:

what

Step-by-step explanation:

that doesnt make any sense

Which questions result in data that is categorical? Check all that apply.

Is your job as an IT administrator stressful?
What is your biggest source of stress?
How has your job impacted your personal life?
In the past week, how many hours of overtime did you work?
Have you ever considered switching careers because of on-the-job stress?

Answers

Answer:

The answer is 1,2,3, and 5

Step-by-step explanation:

The person above me answered it correctly, I basically just copied and pasted it onto here :)

Options A and E are categorical.

Is your job as an IT administrator stressful?

Have you ever considered switching careers because of on-the-job stress?

Given,

- Is your job as an IT administrator stressful?

- What is your biggest source of stress?

- How has your job impacted your personal life?

- In the past week, how many hours of overtime did you work?

- Have you ever considered switching careers because of on-the-job stress?

We need to find which options are categorical.

What are categorical data?

The data that can be divided into groups are called categorical data.

Example:

People who know how to drive and who don't know how to drive.

We can have two groups here.

Yes and No.

Find which of the following are categorical.

- Is your job as an IT administrator stressful?

We can have two groups:

Yes and No.

It is categorical data.

- What is your biggest source of stress?

We can have different answers which can not be categorized into groups.

It is not categorical data.

- How has your job impacted your personal life?

Everyone will have different answers so it is not categorical data.

- In the past week, how many hours of overtime did you work?

Everyone will have a different answer so we can not make groups.

It is not categorical data.

- Have you ever considered switching careers because of on-the-job stress?

We can have answers as yes and no so we can make two groups

It is categorical data.

Thus Options A and E are categorical.

Is your job as an IT administrator stressful?

Have you ever considered switching careers because of on-the-job stress?

Learn more about categorical data here:

https://brainly.com/question/19587873

#SPJ2

How much money does the job pay per hour?
2. A class trip consists of 84 students and 6 teachers.
How many students per teacher are there?
3. A factory builds 960 cars in 5 days. What is the
average number of cars the factory produces
per day?

Answers

Answer:

2) 14 students per teacher

3) 192 cars per day

Step-by-step explanation:

Solve 3a – 8= 5a + 12

Show your work. (please)

Answers

Answer:

a = - 10

Step-by-step explanation:

3a – 8 = 5a + 12

3a – 8 + 8 = 5a + 12 + 8

3a = 5a + 20

3a - 5a = 5a + 20 - 5a

- 2a = 20

[tex]\dfrac{-2a}{-2}=\dfrac{20}{-2}[/tex]

a = - 10

Can someone PLEASE answer 5 and 6 for me?this assignment is due in a few minutes

Answers

Answer:

Yes they are equivalent because if you divide 18 by 6 it is 3 and if you do the same for 21 and 7 it also equals 3 which means they get paid 3 per hour

As for 6 they are not bec if we do the same from to 6 220/25=8.8 and 90/10=9 meaning they don’t have the same feet to inches

Step-by-step explanation:

I hope this helps and I’m not to late.

A data set has a mean of 42 and a standard deviation of 7.8 if an element in the set is 54 find its z-score

Answers

Answer:

mean=42

SD=7.8

X=54

Z=(X-u)/SD

Z=(54-42)/7.8=12/7.8

=1.54

What is the area of a circle with a radius of 5 inches?
Use 3.14 for a
Enter your answer as a decimal in the box.
in?

Answers

Answer:

78.54in²

Step-by-step explanation:

i used the formula

Is the given value a solution of the inequality?

Answers

Answer:

I don't think so

Step-by-step explanation:

if the s has to be more than or equal to then s would have to equal 8 or more

63 as a fraction in sumplest form

Answers

Answer


63/100


:) not sure but there

Find the slope of the line.
x = -7

Answers

Answer:

Undefined

Step-by-step explanation:

If you were to graph this, it would make a vertical line. This means the slope is undefined.

Solve working backwards with the distributive property. 7(7) - 7(2) =

Answers

Answer:

35

Step-by-step explanation:

(7x7=49) (7x2=14)

then you do

49-14= 35

Solve this equation
S=5t+45

Answers

Answer:

t= 1/5s-9

Step-by-step explanation:

use math papa next time ;)

I will mark you brainliest if you go subscribe to seema beauty care and more on y o u t u b e and put the screenshot in answer.

Answers

Step-by-step explanation:

Just subscribed wish you the best on your channel!!!

Troys truck has a 30 gallon gas tank and gets and average of 21 miles per gallon

Answers

It can go 631 miles on a full rank of gas

Answer:

The answer is 630 miles using a 30 gallons tank.

Step-by-step explanation:

Well this question is incomplete, but if we are trying to find how many miles can 30 gallons give then the answer would be 630.

Why? Well since 21 miles = 1 gallon then 630 miles = 30 gallons.

Because 21 multiplied by 30 = 630.

P.S Can I have brainliest if I am correct?

-2x + y = 11
-7x - y - 25

Answers

I think it’s is this answer

Find the x-intercepts for y = -7x2 + 4x + 9 using the quadratic formula. Choose all
correct answers.

Answers

what are the answer choices 35

Question 4 of 5
Which fraction is equal to 45%?
A.
4.5
100
O
B.
100
45
45
100
Ο Ο
D.
100
450
SUBMIT

Answers

Percent means per 100, so 45% would be 45 out of 100, which written as a fraction would be 45/100

The answer would be C.

Find the value of x in the triangle shown below 9 12

Answers

show a picture of the triangle

the robots are powered on coffee alone. they use two bags of coffee each day.how long will 1/4 bag last?

Answers

Answer:

One robot will be powered for an eighth of a day (1/8 of a day) by one quarter (1/4) of a bag of coffee.

Answer: 3 hours

Explanation: There are 24 hours in a day, and the robots use 2 bags of coffee a day, so you gotta do 24/2 and that means 1 bag of coffee lasts 12 hours. Next, the question is how long does 1/4 bag last, so you do 12/4 and get 3, therefore the correct answer is 3 hours. Hope this helped!

A 15-pound bag of apples cost $6.30. At that rate, how much would a 29-pound bag of apples cost?

Answers

thats alot of apples. what does a person need with all if those apples?

Answer:

here,

15 pound bag =$6.30

or, 1 pound bag = 6.30/15

or, 1 pound bag = $0.42

or,29 pound bag = 29 X $ 0.42

or, 29 pound bag = $ 12.18

Hence, a 29 pound bag of apple cost $12.18

X=1.56 cm

X=1.44cm

X=2.25cm

X=0.64

Answers

Answer:

x= 1.44

Step-by-step explanation:

I divided 1.2 cm by 0.96 to find the factor, which give me 1.25.

So I did 1.8 cm divided by 1.25 which give me the answer above.

Hope that helps.  

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