solve attached problem

Given:

Dividend = [tex]9x^3+18x^2+20x+16[/tex]

Divisor = [tex]3x+4[/tex]

To find:

The quotient and remainder by using the long division method.

Solution:

Using the long division method, divide the polynomial [tex]9x^3+18x^2+20x+16[/tex] by [tex]3x+4[/tex] as shown below:

[tex]3x+4 |\overline{9x^3+18x^2+20x+16}|3x^2+2x+4\\[/tex]

         [tex]9x^3+12x^2\\\underline{(-)\quad (-)\quad \quad \quad}[/tex]

             [tex]0+6x^2+20x[/tex]

                   [tex]6x^2+8x\\\underline{(-)\quad (-)\quad \quad \quad}[/tex]

                       [tex]0+12x+16[/tex]  

                             [tex]12x+8\\\underline{(-)\quad (-)}[/tex]

                                     [tex]\underline{\quad 0\quad}[/tex]

Therefore, the quotient is [tex]3x^2+2x+4[/tex] and the remainder is 0.

Answer:

x=1

Step-by-step explanation:

Just look at the x axis and see where the coordinate lands on and it's 1

Answer:

7.) c

8.) 5.9

9.) 8.78

10.) 8.778

if im wrong let me know

Step-by-step explanation:

For S if the ratio is 2:7 and you use 20 drops of red paint you multiply 2 by 10 which is 20 so you also multiply 7 by ten to get 70 (So the answer for S is 70 drops) and for L you multiply 2 by 20 to get 40 so you multiply 7 by 20 and you get 140 (The answer for L is 140 drops) For T you multiply 2 by 1.5 to get 3 so you multiply 7 by 1.5 which is 10.5 ( so the answer for T is 10.5 drops)

Answer: A. f(n) = 4 ∙ 2n-1

Step-by-step explanation:

because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.

Answer:

it goes by 2 to 4 to 8 to 12 to 16 so therefore your answer is 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

If SU and VT are chords that intersect at point R, then;

SR/RT = VR/RU and VT = VR + RT

Given the following

SR= x+6

RU = x

VR = x+1

RT = x+4

Substitute into the expression above;

x+6/x+4 = x+1/x

Cross multiply

x(x+6) = (x+1)(x+4)

Expand

x^2+6x = x^2+4x+x+4

x^2+6x = x^2+5x+4

x^2 will cancel out from both sides

6x = 5x+4

6x-5x = 4

x = 4

Get VT

VT = VR + RT

VT = x+1 + x+4

VT = x+x+1+4

VT = 2x+5

Since x = 4

VT = 2(4) + 5

VT = 8+5

VT= 13 units

Hence the length of the line VT is 13units

Answer: just so you have proof my homie above is correct

Step-by-step explanation:

got it right on edge

Answer:

£48

Step-by-step explanation:

I=Prt

I=(800)(0.02)(3)

I = 48

Answer:

the simple interest earned was £48.

Step-by-step explanation:

the appropriate simple interest formula is i = prt, where r is the annual interest rate as a decimal fraction.  Here, with prt = (£800)(0.02)(3 yr), we find that the simple interest earned was £48.

Answer:

According to this,  the answer is:

a. x=(c-0.50y)/0.75

b. c=0.75x+0.50y

Step-by-step explanation:

With the information provided, the total cost in cents is equal to the result of the price of the 75 cent bars for the amount of bars plus the price of the 50 cent bars for the amount of bars, which would be:

c=0.75x+0.50y, where:

x is the amount of the 75 cent bars

y is the amount of the 50 cent bars

Now, you can solve for x to determine the expression that represents the number of 75 cent bars if she bought y 50 cent bars:

c-0.50y=0.75x

(c-0.50y)/0.75=x

x=(c-0.50y)/0.75

According to this, the answer is:

a. x=(c-0.50y)/0.75

b. c=0.75x+0.50y

Step-by-step explanation:

Given

[tex] \sqrt{4} \times (2) \\ \sqrt{ {2}^{2} } \times 2 \\ = 2 \times 2 \\ = 4

Hope it will help :)❤

Look at the explanation to understand.

Step-by-step explanation:

Step 1.

Apply the rule. (a) = a

For this expression, (2) = 2

[tex]\sqrt{4}\times2[/tex]

Step 2.

Multiply 4 by 2.

4 × 2 = 8

Step 3.

Prime factorization of 8: 2³

[tex]\sqrt{2^3}[/tex]

Step 4.

Apply the exponent rule. [tex](a^b^+^c=a^b\times a^c)[/tex]

2³ = 2² × 2

[tex]\sqrt{2^2\times2}[/tex]

Step 5.

Apply the radical rule. [tex]\sqrt{ab}=\sqrt{a}\sqrt{b}, a\geq 0, b\geq 0[/tex]

[tex]\sqrt{2^2}\sqrt{2}[/tex]

Step 6.

Apply the radical rule again. [tex]\sqrt{a^2}=a, a\geq 0[/tex]

[tex]2\sqrt{2}=4[/tex]

Hence, 4 is the answer.

Answer:

1378 -3839=10

Step-by-step explanation:

The new protocols, but the fact is a great place for a long time, and it was very nice to be able to get the best the first place in the same manner as the most important part in a row and the rest of us to do with it, but the fact is that it was the only one who thinks and the

Answer: 19

Step-by-step explanation: j trust me

Answer:

-85

Step-by-step explanation:

-18-67

(use calculator)

Answer:

140 minutes

Step-by-step explanation:

Using m = (y₂ - y₁)/(x₂ - x₁) , we find the rate at which Snail A moves which is also the gradient of the line with which it moves. Given that Snail A was 12.5 inches above the ground at 10 minutes and 16 inches above the ground at 24 minutes, x₁ = 10 min, y₁ = 12.5 inches, x₂ = 24 min and y₂ = 16 inches.

So, m = (y₂ - y₁)/(x₂ - x₁)

m = (16 - 12.5)/(24 - 10) = 3.5/14 = 0.25

Also, the equation of the line,

(y - y₁)/(x - x₁) = m

(y - 12.5)/(x - 10) = 0.25

cross-multiplying, we have

y - 12.5 = 0.25(x - 10)

expanding the bracket, we have

y - 12.5 = 0.25x - 2.5

adding 12.5 to both sides, we have

y - 12.5 + 12.5 = 0.25x - 2.5 + 12.5

y = 0.25x + 10

Since Snail B started at 3 inches above the ground and climbed 0.3 inch per minute. The snails continued at the same speeds, its distance y moved is y = 0.3t + 3

We now find the time x it takes the snails to cover the same distance by equating both expressions. So,

0.25x + 10 = 0.3x + 3

collecting like terms, we have

10 - 3 = 0.3x - 0.25x

7 = 0.05x

0.05x = 7

x = 7/0.05

x = 140 minutes

Answer:

338

Step-by-step explanation:

26 divided by 2 is 13. the width is 13. 26 times 13 is 338

hope this helps!

Answer:

In the number 75, 5 is the base and 7 is the exponent. Solution: False. Example 7: 4. 3 a. a a a a b. b b b. + + +. = + +. Solution:.

Answer and Step-by-step explanation:

AB = DC = 2x

AD = BC = 4y - 6 = 3x

180 = 2x + 2x + 3x + 3x = 10x

18 = x

4y - 6 = 3(18)

4y = 54 + 6

4y = 60

y = 15

18 = x

15 = y

2(18) + (4(15) - 6) + 3(18) + 2(18) = 36 + 36 + 54 + 54 =  180

#teamtrees #PAW (Plant And Water)

Answer:

c i know just took it

Step-by-step explanation:

Answer:

C) -1(x+8)(x+7)

Step-by-step explanation:

[tex]-x^{2} -15x-56\\-1(x^{2} +15x+56)\\-1(x+8)(x+7)[/tex]

-1 factors through the entire equation.

8+ 7 = 15 and 8 x 7 = 56 (so 8 and 7 are our factors.)

Answer:

12.5

Step-by-step explanation:

The value of LL' is 5 units.

Option A is the correct answer.

It is the movement of the shape in the left, right, up, and down direction.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

ML' = 2.5

Triangle JKL dilated to Triangle J'K'L' with a scale factor of 1/3.

This means,

LL' = (2.5 x 3) - 2.5

LL' = 7.5 - 2.5

LL' = 5

Thus,

LL' is 5 units.

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https://brainly.com/question/12463306

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Answer:

546

Step-by-step explanation:

From the attached picture ;

Volume of a rectangular prism = (width * length * height)

Volume = 2 1/6 * 1 1/6 *1

Volume =. 13/6 * 7/6 * 1

Volume = 91 / 36 in³

Side length, a of cube = 1/6

Volume of cube = a³ = (1/6)^3 = 1/216

(91/36) ÷ 1/216

91/36 * 216/1

91 * 6 = 546

Answer:

546

Step-by-step explanation:

Answer:

12) 0.29

14) 7.68

15) 10.86

Step-by-step explanation:

Hey Hey! It's me again!

Answer:

The variable u divided by the variable x.

Answer:

The rate of percent is 5%

Step-by-step explanation:

Answer:

first get the total ratio; 2 + 5 = 7

so the fraction of blue marbles is 5/7

then assume the number of total marbles to be k

then use the expression;

5/7*k = 65

7*5/7 * k = 65*7

5k =455

5/5k = 455/5

k = 91

then calculate the number if red marbles from;

x = 2/7*91

x = 26

Therefore there are 26 red marbles.