Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. a) Simplify the expression and explain each step. (2 points) 4 ( 3 x + 2 ) − 2 b) Factor the expression completely. (1 point) 20 b − 16

Answers

Answer 1

Answer:

Step-by-step explanation:

To simplify the expression:

4(3x+2) - 2

The first step is to open the brackets

= 4 * 3x + 4* 2 - 2

= 12x + 8 - 2

= 12x - 6

Factor out the above expression, we get;

= 6(2x - 1)

To factor out the expression:

20b - 16

the factor that can be divided by 20 and 16 without remainder is 4;

So, we have:

= 4(5b - 4)


Related Questions

-x+2y=6 and -x+8y=12 solve by elimination (help please)

Answers

Answer:

Step-by-step explanation:

-x+2y=6

-x+8y=12

_________

-6y = -6 ( subtracting 2 equations)

y=1

x=-4

Please help me ASAP!!!

Answers

Answer:

The answer is 100% without a doubt A

Step-by-step explanation:

Answer:

get stickbugged lol

Step-by-step explanation:

lol XD

A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 40 dumpster loads of waste removed. In week 10, there were 30 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.

Answers

Answer:

The answer is f(x) = -3x + 60

Step-by-step explanation:

Answer:

f(x) = −2x + 50

Step-by-step explanation:

If Peter pays $84 to buy a watch after a discount of 30%, find the original price of the watch

Answers

(Original price) - 0.30p = 84

Let p = Original Price of the watch

p - 0.30p = 84

0.70p = 84

p = 84 ÷ 0.70

p = 120

The original price of the watch is $120.

Answer:

The original price was $120.

Step-by-step explanation:

Let the original price of the watch be w.  

Then the discount is 0.30w and the discounted price is (1-0.30)w, or 0.70w.

Writing an equation in w, we get 0.70w = $84.

Solving this for w, we divide both sides by 0.70:

w = (84)/0.70 = $120

The original price was $120.

f(x) = 6x + 5. Work out, simplifying fully: 2f(x) + 6.

Answers

Replace the f(x) in the second equation will 6x + 5 so then it looks like 2(6x + 5) + 6. Then distribute so it’s 12x + 10 + 6 and then simplify to 12x + 16

Rita has taken out a loan for $2000 to help pay for a car. The 2-year loan has 12% simple annual interest. What is the total amount of money that she will have paid back at the end of the 2 years?

Answers

Answer:

$480

Step-by-step explanation:

Assuming she dosen't miss any payments, after 2 years she will have paid $480 as 12% of 2000 is 240 and 240 times 2 = 480.

Hope this helps!

Answer:

2,480

Step-by-step explanation:

The answer is 2,480! :D

in in the previous activity you solved a system of equations representing the carnival admissions using the elimination method in this activity you will solve the same system using substitution then you'll compare your solution with the solution you obtained in the previous activity by using the elimination method

the two equations from the previous activity are given below

k + a = 500 (1)
3K + 10A equals 3,600 (2)

which equation has at least one of its variables with a 1 as it's coefficient?

Answers

Answer:

The value of a=300 and value of k=200

If you solve the above system of equations by elimination method, you will get the same values of a and k.

In Equation 1 [tex]k+a=500[/tex] both variables k has 1 as their coefficient.

Step-by-step explanation:

We need to solve the system of equations using substitution method

The equation are:

[tex]k + a = 500--eq(1)\\3k + 10a = 3,600 --eq(2)[/tex]

For substitution method, we find value of k from equation 1 and put in equation 2

[tex]From \ eq(1) \ we \ get\\k=500-a[/tex]

Putting it in eq(2)

[tex]3k+10a=3600\\Put \ k=500-a\\3(500-a)+10a=3600\\1500-3a+10a=3600\\7a=3600-1500\\7a=2100\\a=\frac{2100}{7}\\a=300[/tex]

So, we get value of a = 300

Now finding value of k by putting value of a in equation [tex]k=500-a[/tex]

[tex]k=500-a\\Putting \ a \ =500\\k=500-300\\k=200[/tex]

So, we get value of k =200

The value of a=300 and value of k=200

If you solve the above system of equations by elimination method, you will get the same values of a and k.

In Equation 1 [tex]k+a=500[/tex] both variables k has 1 as their coefficient.

Maria ha acquistato un libro, scontato del 15%, al prezzo di 34 euro. Dopo avere letto 1/4 delle pagine del libro. Legge 2/3 delle pagine rimanenti e a questo punto le restano da leggere 104 pagine. Determina:

Il prezzo del libro prima dello sconto
Il numero di pagine complessive del libro
La percentuale che rappresenta il numero di pagine che restano da leggere a Maria rispetto al numero di pagine complessivo.

Answers

Answer:

a) 40 euros

b) 416 pages

c) 25%

Step-by-step explanation:

This question can be translated to:

Maria bought a book, discounted by 15%, at the price of 34 euros. After reading 1/4 of the pages of the book. She reads 2/3 of the remaining pages and at this point, she has 104 pages left to read. Determine:

a)  The price of the book before the discount

b) The total number of pages in the book

c) The percentage that represents the number of pages that Maria has left to read out of the total number of pages.

I will answer in English.

a) If P is the price of the book, with a discount of the 15% the price will be:

P' = P - P*(15%/100%) = P - P*0.15 = P*0.85

and P' = 34 eur

34 eur = P*0.85

34 eur/0.85 = 40 eur = P

The original price was 40 euros.

b) Now suppose that the book has N pages.

First, she reads 1/4 of the pages, then we have:

N - (1/4)*N =  (3/4)*N pages left.

Then she reads (2/3) of the remaining (3/4)*N pages.

Then there are:

(3/4)*N - (2/3)*(3/4)*N = (1/3)*(3/4)*N = (1/4)*N

And we know that at this point, there are 104 pages left, then:

104 = (1/4)*N

104*4 = N = 416

c) The total number of pages is 416, this is the 100%

there are 104 pages left in the book, this will represent X%, and we want to find the value of X.

then:

416 = 100%

104 = X%

Let's take the quotient of those two equations:

(416)/(104) = (100%/X%)

Now let's isolate X%.

X% = (104/416)*100% = 0.25*100% = 25%

Which of these expressions is equivalent to 3( x-2)

A. 3x - 6
B. 3x -2
C. 3x + 2
D. 3x + 6​

Answers

Answer:

the answer is B because 3(x-2) is the same as 3x -2

PLS HELP THIS IS IMPORTANT OFFERING 20 POINTS
The exponential function f intersects the x-axis at the point (2,0) and intersects the y-axis at the point (0,-5.25)

If g(x) = 3x - 2, which statement is true over the interval [0, 2]?

A.
The average rate of change of g is equal to the average rate of change of f.
B.
The average rate of change of g is greater than the average rate of change of f.
C.
The average rate of change of f cannot be determined using the information given.
D.
The average rate of change of g is less than the average rate of change of f.

Answers

Answer:

A.

Step-by-step explanation:

Unit : Negative Numbers < Addition & Subraction !! Answer In 20 Minutes !!!

Which Number Represents the expression - 2 + ( - 7/2) ?

Answers

Answer:

-5 1/2

i hope this helps <3

Answer:

[tex]-\frac{11}{2}[/tex] is the number which represents the expression [tex]-2+\left(\frac{-7}{2}\right)[/tex].

i.e.

[tex]-2+\left(\frac{-7}{2}\right)=-\frac{11}{2}[/tex]

Step-by-step explanation:

Given the expression

[tex]-2+\left(\frac{-7}{2}\right)[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]=-2+\frac{-7}{2}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]=-2-\frac{7}{2}[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:2=\frac{2\cdot \:2}{2}[/tex]

[tex]=-\frac{2\cdot \:2}{2}-\frac{7}{2}[/tex]

[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=-\frac{2\cdot \:2}{2}-\frac{7}{2}[/tex]

[tex]=\frac{-2\cdot \:2-7}{2}[/tex]

[tex]=\frac{-11}{2}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]=-\frac{11}{2}[/tex]

Therefore, [tex]-\frac{11}{2}[/tex] is the number which represents the expression [tex]-2+\left(\frac{-7}{2}\right)[/tex].

i.e.

[tex]-2+\left(\frac{-7}{2}\right)=-\frac{11}{2}[/tex]

Marcus wants to buy 4 candy bars. Each candy bar costs $1.74. If he uses a coupon for $0.50 off the price of one candy bar, how much will Marcus owe for the 4 candy bars?

Answers

6.46 I pretty sure :/

Answer my math question I asked so many times I lost most of points by

Answers

Answer:

im sorry i wish i can help

Step-by-step explanation:

After 4 minutes of reading, Aaron was on page 14 of his book. After 8 minutes he was on page 20. Which equation models the page number, y, in terms of minutes x?

Answers

Answer:

B

Step-by-step explanation:

4×14=568×20=160160×56=8960

Dominic goes jogging every morning. If m represents the number of miles he jogs each day, which expression represents the total number of miles he jogs in a week?
a. 7m
b. 7+m
c. 7-m
d. 7/m

Answers

Answer:

The answer is a: 7m

Step-by-step explanation:

The amount of miles he jogs is m, and there are 7 days in a week. Multiply that, and you'll have your answer.

A baker at a bakery had made 20 pastries after 1 hour of work. After 8 hours, he had made 83 pastries. M= ?

Answers

9514 1404 393

Answer:

  9 pastries per hour

Step-by-step explanation:

In the 7 hours after the first, the baker made 83 -20 = 63 more pastries. That rate is ...

  (63 pastries)/(7 hours) = 9 pastries per hour

_____

Additional comment

We have chosen to interpret the question as asking for the slope of a line on a graph of pastries vs. hours. Such a graph would show you the baker started with 11 pastries already made, so didn't actually make 20 in the first hour.

The tax on soda is 3 cents per ounce. How much is 3 ounces

Answers

Answer:$9

Step-by-step explanation:

find the distance from point A (-1/4,5) to the line -x+2y=14. round your answer to the nearest tenth

Answers

Answer:

543

Step-by-step explanation:

look at picture************^^^^

Answers

The closest answer would be A.

Evaluate each using the values given. You must show all the work including the steps to solve.

1) 5 + x(y2 - (x + 2)); use x = 2, and y = 4

Answers

Answer: 5
5 + 2(4 x 2 - (2 +2))
5 + 2(8 - 2(2 + 2))
5 + 2( 8 - 8)
5 + (2)(0)
5 + 0
=5


LOOK AT PICTURE THEN ANWSER QUESTION, WHOEVER HAS CORRECT ANSWER I WILL MARK BRAINIEST!

Answers

I am pretty sure it is D. It’s definitely greater or equal to so it’s either B or D

A combination is a grouping where the order of the items in the group does not matter.

True
False

Answers

Your answer is false

URGENT

PLEASE AND HELP MY FRIEND SHE/HE WILL MARK BRAINLIST



https://brainly.com/question/19458627?utm_source=android&utm_medium=share&utm_campaign=question​

Answers

Answer:

What?

Step-by-step explanation:

Okay.

Graph h(x)=8 I x+1 I -1.

Answers

Answer:

search it up its there

Step-by-step explanation:

Please help thank you so much

Answers

Answer:

No

Step-by-step explanation:

It would work for the bottom equation, but plugging in to the top equation would equal -4>3, which is false.

Answer:

no

when the point is plugged into the first inequality, it does not work therefore it is not a solution

Evaluate the expression for x = 15

x - 9

9
24
6
12
please help

Answers

if you are trying to figure out x-9=15 it’ll be 24

Answer: 24

Step-by-step explanation:

find the difference (10j-7)-(9j-2)

Answers

Answer:

j-9

Step-by-step explanation:

combine like factors

subtract nine from both sides, j-7=-2

subtract 2 from both sides, -2-7=-9, j-9

Answer:

j-5

Step-by-step explanation:

(10j - 7) -(9j - 2) = x

(10j - 7) = x + (9j - 2)

10j - 7 = x + 9j - 2

10j - 9j -7 + 2 = x

x = ( j - 5)

Write the slope-intercept form of the equation of the line through the given points:
through: (2, -3) and (-2, -5)

Answers

Answer:

equation of line

x-2y=8

Step-by-step explanation:

equation of line in slope intercept form

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

 or,(y+3)={(-5+3)/(-2-2)}(x-2)

 or,(y+3)=(1/2)(x-2)

  or,2y+6=x-2

   or,6+2    =x-2y  

or,x-2y=8

For each inequality, determine whether -3 is part of the solution set. (I clicked things on mistake so ignore what I’ve already bubbled in)

Answers

Answer:

Yes, No, No, Yes

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

She is incorrect bc she added 95
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