P(x) = 4x3 + 5x + 9, D(x) = 2x + 1

Two polynomials P and D are given. Use either synthetic or long division to divide
P(x)
by
D(x),
and express P in the form
P(x) = D(x) · Q(x) + R(x)

Answer:

It is important because it provides information about ancient Sumerian history and the history of humanity as a whole.

Step-by-step explanation:

Hope this helps.

Answer:

h=23

Step-by-step explanation:

triangle equals 180 degrees

180-40=140

140/4=35

Answer:

The answer should be C!

Step-by-step explanation:

When you multiply the y value 0.04 and 5 it comes out as 0.02.

91/25, 3.92, 3.928, 2 13/20

im pretty sure this is correct AND IM RLY SRY IF IT ISN’T

9514 1404 393

Answer:

  -0.67, -0.68, -0.69, -0.70, -0.71

Step-by-step explanation:

There are an infinite number of ways to do this.

Perhaps the simplest is to do it in decimal.

 -4/5 = -0.8

  -2/3 = -0.666... (repeating 6)

Any negative decimal number between these values will do. For example, ...

  -0.67, -0.68, -0.69, -0.70, -0.71

__

If you want to choose fractions that are evenly spaced between the given values, you can find their difference, then divide that difference into 6 parts (1 more than the number of numbers you need).

  -2/3 -(-4/5) = 4/5 -2/3 = (12 -10)/(5·3) = 2/15 . . . . length of interval

  1/6 of this difference is ...

     (1/6)(2/15) = 2/90 = 1/45

The interval end point nearest 0 is ...

  -2/3 = -30/45

so the 5 intermediate values will be that value with -1/45 repeatedly added:

  -31/45, -32/45, -33/45 = -11/15, -34/45, -35/45 = -7/9

_____

Additional comment

The fractions we came up with could be referred to as "5 arithmetic means between -2/3 and -4/5." There is nothing in the problem statement suggesting the values need to be evenly spaced.

When doing this in decimal, you can obtain a new value simply by adding more digits to the decimal fraction:

  -0.68, -0.685, -0.6853, -0.68531, -0.799

Answer:

It's probably it

Step-by-step explanation:

A = (-4, -2)

B = (1, 6)

Imagine a new point (C) where they intersect (1, -2)

Now we can form a triangle, the distance between A and B will be the hypotenuse.

h² = 5² + 8²

h² = 25 + 64

h² = 89

h = [tex]\sqrt{89}[/tex]

h = ~9.43...

h = 9

The constant rate of gas consumption gives an equal number of miles per

gallon of gas.

The number of miles per gallon Maria drove is 23.5 miles per gallon

Reasons:

The known information are;

Initial volume of gas in the tank = The tank was filled up

The distance in miles Maria drove = 329

The number of gallons with which Maria filled the tank = 14 gallons

Number of miles driven on each gallon = The same number of miles

Required:

The number of driven per gallon

Solution:

The number of miles driven per gallon is therefore;

[tex]Miles \ per \ gallon = \dfrac{329 \ miles}{14 \ gallons} = 23.5[/tex]

Therefore, Maria drove 23.5 miles per gallon of gas

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https://brainly.com/question/14865898

Answer:

m<A + m<B = 180 degrees = 2pi radians

Step-by-step explanation:

The equation in point-slope form to represent the time y it took to download x songs is; (y - 35) = 7(x - 5)

In essence, we can represent the information as;

To find the slope of the equation; we have;

In essence, the equation in point-slope form to represent the time y it took to download x songs is;

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https://brainly.com/question/6497976

1 Large Salad uses 10 cherry tomatoes.

1 Small Salad uses 6 cherry tomatoes.

Jorge wants to make 6 large salads: 6 x 10 = 60 cherry tomatoes for the large salads.

4 small salads: 4 x 6 = 24 cherry tomatoes.

Now we add them together to find the total amount: 60 + 24 = 84 Cherry Tomatoes.

I hope this has helped! :)

Answer:

He needs 84 cherry tomatoes.

Step-by-step explanation:

6 * 10 = 60 cherry tomatoes

6 * 4 = 24 cherry tomatoes

60 + 24 = 84 cherry tomatoes

Hope this helps!

Answer:

224.25

Step-by-step explanation:

13x15x1.15

Answer:

$4.24

Step-by-step explanation:

100%-15%=85%

85/100x4.99=4.2415

4.2415 rounded off to nearest cent =4.24

Hope this helps! Thanks.

Answer:

quotient = 1809

remainder = 2

Step-by-step explanation:

Let me know if i'm right

Answer:

number of non students=140, students=280

Step-by-step explanation:

let non students be x.

so according to condition, non students=x*9

students=2x*7

now,

2x*7+x*9=3220

so, x=140

Answer: A  F D G

Step-by-step explanation:

Answer

The answer is C

Explanation:

1.2 divided by 4 = 0.3

2.4 divided by 8 = 0.3

3.9 divided by 13 = 0.3

**hope this helps.... brainly please if possible

Step-by-step explanation:

to find the equation of a line having the slope use this formula:

[tex]y - yp = m(x - xp)[/tex]

in which:

- yp is the y of the point (so 4);

- m is the slope (so 5);

- xp is the x of the point (so -1)

so:

[tex]y - 4 = 5(x - ( - 1))[/tex]

[tex]y - 4 = 5x + 5[/tex]

[tex]y=5x + 5 + 4[/tex]

[tex]y = 5x + 9[/tex]

This shows that it will take the particle 23 secs to meet.

The distance travelled by each particle is 50cm

If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,

The first particle distances are 97cm, 93cm, 89cm... every 2secs

This form an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 97

d is the common difference = 4

Substitute

Tn = 97+(n - 1)(4)

Tn = 97 + 4n -4

Tn  = 4n  + 93

Similarly for the distances 49 cm, 47 cm, 45cm .....

This also forms an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 49

d is the common difference = 2

Substitute

Tn = 49+(n - 1)(2)

Tn = 49 + 2n -2

Tn  = 2n  + 47

For the particles to meet, this means that 4n  + 93 = 2n + 47

4n - 2n = 47 - 93

2n = -46

n = -23

This shows that it will take the particle 23 secs to meet.

To get the distance travelled by each particle

Tn  = 4n  + 93

T2 = 4(2) + 93

T2 = 101

For the other sequence;

Tn  = 2n  + 47

T2  = 2(2)  + 47

T2 = 51

Taking the difference;

D = 101 - 51 = 50cm

Hence the distance travelled by each particle is 50cm

Learn more here: https://brainly.com/question/13989292

Answer:

1)[tex]4.51[/tex]×[tex]10^-3[/tex]

2) .00632

Step-by-step explanation:

1.Which of the following is equivalent to 0.00451?

= [tex]\frac{451}{100000}[/tex]

=[tex]\frac{4.51}{1000}[/tex]

=[tex]\frac{4.51}{10^3}[/tex]

= [tex]4.51[/tex]×[tex]10^-3[/tex]

Therefore the answer is (a)

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

Which of the following is equivalent to 6.32 x 10-*3?

In order to find the answer to this question you can just put the notation into standard form which means they will be equivalent to each other.

The exponent is negative so you move to the left:

[tex]6.32=.00632[/tex]

=[tex].00632[/tex]

Therefore 6.32*10^-3 is equivalent too (c) .00632

Answer:

y=6 and x=9

Step-by-step explanation:

Ur dad left you IMAO go look for your dad

Answer:

C

A

C

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

f(-1) = -3(-1)^3 + 2(-1)^2

f(-1) = -3(-1) + 2(1)

f(-1) = 3 + 2

f(-1) = 5

Hope this helps! Pls give brainliest!

Answer:

5

Step-by-step explanation:

plug in -1 for x

so

[tex] -3 ({ - 1})^{3} + 2 ({ - 1})^{2} [/tex]

went we solve we get

[tex]3 + 2 \\ = 5[/tex]

so 5 is ur answer

pls give brainlist

if any questions ask

have a great day thanks :)

Answer:

Step-by-step explanation:

Answer:

The square root of 2 over 2

Step-by-step explanation:

Answer:

hii

Step-by-step explanation:

plzz see attachment

hope it helps u

plz mark as brainliest

Answer:

Step-by-step explanation:

L = Length

W = Width

W = 2L

   2W + 2L = 174

2(2L) + 2L = 174

            6L = 174

              L = 29 ft

W = 2(29) = 58 ft