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3 years ago

( 8k + 9) - (6k + 5)

Mathematics

2 answers:

Katena32 [7]3 years ago

3 0

Answer:

The expression is 2k + 4.

Step-by-step explanation:

You have to collect like-terms :

(8k + 9) - (6k + 5)

= 8k + 9 - 6k - 5

= 2k + 4

HACTEHA [7]3 years ago

3 0

2k+4 is the answer to ur question

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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

Help ASAP

krok68 [10]

Answer:

1. x=10,-10

2. x = 5

x = -5

3. x=-5

4. x ∈ {4,- 3/2}

Step-by-step explanation:

7 0

3 years ago

A circle has a radius of 4 meters and a central angle AOB that measures 120°. What is the length of the intercepted arc AB? Use

Valentin [98]

<span>120 degs --> 1/3 of the circumference :) hope i helped!</span>

6 0

3 years ago

Read 2 more answers

I need help please! will mark brainliest

Dovator [93]

Answer:

g= - 3x/x-2

Step-by-step explanation:

8 0

2 years ago

19. The population of Jose's town in 1995 was 2400 and the population in 2000 was

Fantom [35]

The linear equation in slope intercept form for population of Jose's town is y = 320x + 2400.

<u>Solution:</u>

Given, the population of Jose's town in 1995 was 2400 and the population in 2000 was 4000,

Let x represent the number of years since 1995.

We have to write a linear equation, in slope- intercept form, that represents this data.

Now, let the change in population per year be p.

Then, population in a year = population change per year $\times$ number of years + population in 1995.

⇒population in a year = p $\times$ x + population in 1995

⇒ population in a year = p $\times$ x + 2400

Here we have an case that, population in 2000 is 4000

Then, number of years since 1995 = 5

So, 4000 = p $\times$ 5 + 2400 ⇒ 5p = 4000 – 2400 ⇒ 5p = 1600 ⇒ p = 320

Then, our equation will be population in a year = 320x + 2400

Considering the population in a year as y ⇒ y = 320x + 2400.

Hence, the linear equation in slope intercept form is y = 320x + 2400.

5 0

2 years ago