1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Troyanec [42]
3 years ago
9

Solve for 8 - 6r + 3 = 5

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0

Answer:

r = 1

Step-by-step explanation:

8 - 6r + 3 = 5

Combine like terms

11 - 6r = 5

Subtract 5 from both sides

6 - 6r = 0

Add 6r to both sides

6 = 6r

Divide both sides by 6

1 = r

You might be interested in
When a polynomial is divided by (x+2), the remainder is -19. When the same polynomial is divided by (x-1), the remainder is 2. D
NeTakaya
<h3>Answer:   7x - 5</h3>

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

Explanation:

We're dividing some unknown polynomial P(x) over (x+2) to get a quotient Q1(x) and remainder -19. That must mean

P(x)/(x+2) = Q1(x) - 19/(x+2)

P(x) = Q1(x)*(x+2) - 19

Note that plugging in x = -2 leads to P(-2) = -19. This is an example of the remainder theorem.  

Similarly,

P(x) = Q2(x)*(x-1) + 2

since dividing by (x-1) leads to a remainder of 2. We have P(1) = 2.

We'll use P(-2) = -19 and P(1) = 2 in the later sections below.

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

We want to find the value of r such that

P(x) = Q3*(x+2)(x-1) + r

Let's say that r = ax+b

Meaning we now have

P(x) = Q3*(x+2)(x-1) + r

P(x) = Q3*(x+2)(x-1) + ax+b

The goal from here is to find 'a' and b so we can get the remainder ax+b.

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

Plug in x = -2 and solve for b.

P(x) = Q3*(x+2)(x-1) + ax+b

P(-2) = Q3*(-2+2)(-2-1) + a(-2)+b

-19 = Q3*(0)(-3)-2a+b

-19 = -2a+b

b = 2a-19

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

Plug in x = 1 to get...

P(x) = Q3*(x+2)(x-1) + ax+b

P(1) = Q3*(1+2)(1-1) + a(1)+b

P(1) = a+b

2 = a+b

a+b = 2

a+(2a-19) = 2 .... plug in b = 2a-19

3a-19 = 2

3a = 19+2

3a = 21

a = 21/3

a = 7

Use that value to find b

b = 2a-19

b = 2(7)-19

b = 14-19

b = -5

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

We found that a = 7 and b = -5.

The remainder ax+b updates to the final answer 7x-5

6 0
3 years ago
A movie theater problem I need help with
Sever21 [200]

What's 18 × 15 ?







Hint : 270

4 0
3 years ago
Read 2 more answers
I need help please and can you explain <br> ANSWER ASAP!!!!
Andru [333]

The app uses 2^28 bytes.

Step-by-step explanation:

  • Step 1: Given total storage used by the app = 4^4 Megabytes. Also, 1 MB = 2^20 bytes. Find total storage used by app in bytes.

⇒ 4^4 × 2^20 = (2²)^4 × 2^20 = 2^8 × 2^20

                       = 2^8+20

                       = 2^28 bytes (using the law of exponents a^m × a^n = a^m+n)

5 0
2 years ago
How do I solve (7-6i)(-8+3i)?
Alekssandra [29.7K]
I = {2.666666667, 1.166666667
6 0
2 years ago
Read 2 more answers
More people leave Anytown, AL each year than move into it. The population over the past 20 years is shown in the table. Use tech
Phoenix [80]

The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

<h3>What is the line of best fit?</h3>

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

Let's suppose the equation that models the exponential decline is:

\rm y = a(b^x)

From the data given, we can calculate the value of a and b:

a = 46348587109809610

b = 0.9861

y = 46348587109809610(0.9861)ˣ

Thus, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

6 0
2 years ago
Other questions:
  • Check all that apply. If sec=13/12, then:
    11·2 answers
  • 98 Points And Brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!A poll asked 15 men in two age groups, 30 and younger and older than 3
    5·1 answer
  • 26 percent of what number is 45​
    14·1 answer
  • Please help ASAP!!!!! will mark you brainliest thank you!
    11·2 answers
  • Each students in Ms. Wangs class will use a keyboard with 5 buttons on it to enter a 3-digit nunber. Each button has a different
    13·1 answer
  • Using the graph, determine tUsing the graph, determine the coordinates of the vertex of the parabola.
    15·1 answer
  • 7.43+9.25 Show Your Work
    8·1 answer
  • A recipe for whole wheat pizza crust calls for 1 1/2 cups of all purpose flour. Jeremy has 5 7/4 cups of all purpose flour. If h
    13·1 answer
  • Which statement is true about the polynomial after it has been simplified. -10m^4n^3+8m^2n^6-6m^2n^6
    8·1 answer
  • Please help ill mark brainliest please if u know the answer
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!