Can someone explain and answer this question please... I'm very unsure. please and thankyou

The remainder of the equation is [tex]\rm 28x+30[/tex].

Given that,

When the equation [tex]\rm 3x^3-2x^2+4x-3[/tex] is divided by [tex]\rm x^2+3x+3[/tex].

We have to find,

The remainder of the equation?

According to the question,

The equation [tex]\rm 3x^3-2x^2+4x-3[/tex] is divided by [tex]\rm x^2+3x+3[/tex].

On the division of the polynomial, the remainder is,

[tex]\dfrac{\rm 3x^3-2x^2+4x-3}{\rm x^2+3x+3}[/tex]

Factorize the equation to convert this into the simplest form,

[tex]\rm 3x^3-2x^2+4x-3\\\\3x^3-11x^2+9x^2+9x+28x-33x-33+30\\\\Taking \ the \ common \ terms \ and \ simplify\ the\ equation\\\\3x^3+9x^2+9x+11x^2+33x-33+28x+30\\\\3x(x^2+3x+3) - 11(x^2+3x+3) + 28x+30\\\\(3x+11) (x^2+3x+3) +28x +30[/tex]

Now, the equation can be written as,

[tex]\rm = \dfrac{(3x+11) (x^2+3x+3) +28x +30}{ x^2+3x+3}\\\\= \dfrac{(3x+11) (x^2+3x+3) }{ x^2+3x+3} + \dfrac{28x +30}{ x^2+3x+3}\\\\= (3x+11) + \dfrac{28x +30}{ x^2+3x+3}\\\\[/tex]

The relation between the divisor, remainder, and quotient is,

[tex]\rm = Quotient + \dfrac{Remainder}{Divisor}[/tex]

On comparing with the equation,

The remainder becomes 28x +30.

Hence, The required remainder of the equation is [tex]\rm 28x+30[/tex].

For more details refer to the link given below.

https://brainly.com/question/25880057

Answer:

23

Step-by-step explanation:

x + x + 1 + x + 2 + x + 3 + x + 4 = 110

5x + 10 = 110

x = 20

4th number = x + 3

20 + 3 = 23

Answer:

3791

Step-by-step explanation:

Answer:

3791

Step-by-step explanation:

2872+919=3791

2872 + 919 = 3791

2872+919=3791

2872+919=3791

(i) Given number = 8.02×10^-5

⇛ 8.02/100000

⇛ (802/100)/100000

⇛ 802/10000000

⇛ 0.0000802

The usual form of 8.02×10^-5 is 0.0000802

(ii) Given number = 4.5×10³

⇛4.5×1000

⇛ (45/10)×1000

⇛ 45×100

⇛ 4500

The usual form of 4.5×10³ is 4500

(iii) Given number = 7×10^-5

⇛ 7/100000

⇛ 0.00007

The usual form of 7×10^-5 is 0.00007

(iv) Given number = 1.0001×10⁸

⇛ 1.0001×100000000

⇛ (10001/10000)×100000000

⇛ 10001×10000

⇛100010000

The usual form of 1.0001×10⁸ is 100010000

(v) Given number = 4.3×10¹²

⇛ 4.3×1000000000000

⇛ (43/10)×1000000000000

⇛ 43×100000000000

⇛ 4300000000000

The usual form of 4.3×10¹² is 4300000000000

(vi) Given number = 3.61492×10⁵

⇛ 3.61492×100000

⇛ (361492/100000)×100000

⇛ 361492

The usual form of 3.61492×10⁵ is 361492

Its the first equation, y < -1/3x +2

The conditional relative frequency presents the result of the survey that conveys information about the programming and the audience.

Reasons:

The table is presented as follows;

[tex]\begin{tabular}{|c|c|c|c|}&Live&Recorded&Total\\Adult&0.625&0.375&1.0\\Children&0.5&0.5&1.0\\Total&\approx 0.583&\approx 0.417&1.0\end{array}\right][/tex]

Based on the given table, we have that the programs are categorized based on the intended audience.

Therefore, the 0.375, indicates that 37.5% of the program targeted at adults are recorded.

Therefore, the correct option is;

Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.

Learn more about relative frequency table here:

https://brainly.com/question/8470699

https://brainly.com/question/3712144

Answer:

A

Step-by-step explanation:

its a

Answer:

d. Right 5 and down 3

Step-by-step explanation:

If you have a given graph and then find that it is altered, the changes to the x (something added to or subtract from x) will be on the graph by translating (sliding) the graph left or right. Horizontal changes are probably the opposite of what they seem like they should be: x+_ moves the graph left and x-_ moves the graph right.

A number added on to the end of the equation will shift (translation, again) the graph up (a number added on) or down (a number subtracted). So in this case the x-5 moves the graph to the right 5 units and the - 3 at the end of the equation moves the graph down three units.

Answer:

Answer: 148555559.46

Step-by-step explanation:

42,444,445.56 x 3 =127333336.68

42,444,445.56 divided by two is 21222222.78

127333336.68 + 21222222.78 = 148555559.46

600-40x6=

40x6=240

600-240=360

Answer: 360 (mL) Remain in the jug after 6 seconds.

Hope This Helps.

Answer:

72 f

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x=-23

Step-by-step explanation:

Since 180° is a straight line you must find a way to get 180 by adding 97°,106°, and x.

Therefore, x must be equal to -23.

Answer:

Step-by-step explanation:

for example :

each person spends = $(5+3)

=$8

four people = 8 × 4 = $32

hope it helps...!!!

Answer: Did you get it or do you still need help (which ones do you need help with)

Step-by-step explanation:

Answer: - 1331

Step-by-step explanation:

(-11)(-11)(-11)

(121)(-11)

- 1331

Answer:

1 7/10

Step-by-step explanation:

3 1/2 - 1 4/5 = ?

3 5/10 - 1 8/10 = ?

2 5/10 - 8/10 = ?

1 15/10 - 8/10 = 1 7/10

Answer: do 2/3 of 62, or 2/3 x 62

convert 2/3 to a decimal (0.666)

0.666x62 = 41.292

Step-by-step explanation:

16±0.12

Step-by-step explanation:

%uncertainity=uncertainity÷measured value×100%

0.75×16=100x

x=12÷100

x=0.12

ANS;16±0.12

Answer:

Step-by-step explanation:

The speed of this car is equal to 1.6 km/min.

Given the following data:

To calculate the speed of this car:

Speed can be defined as the distance travelled by an object per unit time and it is usually measured in meter per seconds (m/s). Also, speed has magnitude but no direction and as such it is a scalar quantity.

Mathematically, speed is given by the formula;

[tex]Speed = \frac{distance}{time}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Speed = \frac{50}{30}[/tex]

Speed = 1.6 km/min.

Read more: https://brainly.com/question/13102821

Answer:

30 hours of use by Washington family

35 hours of use by Choi family

Step-by-step explanation:

Answer:

t=y÷x+3

Step-by-step explanation:

you have to isolate t

(I may have put the equation in the wrong order but I'm like 70% sure i got it)

Answer:

 total distance of Felicia's training run

 first two hours  x  = 2....so we have

[ 13 + 6(2 - 2)  ]  / 2  =  13 / 2  =  distance / rate  =  = 6.5  mph ⇒  "c"

 distance covered in 4 hrs  =

 [13 + 6( 4 - 2) ]  =  13 + 6(2)  =  13 + 12  =  25 miles

 But  she ran  13 miles the first two hours

 So....she must run 12 miles the last two hours   ⇒   "c"

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

Answer:

Step-by-step explanation:

Given:

FV is:

Which is same as total payment:

Solve the following by graphing:

See attached

The solution is:

Total payment:

The amount of interest:

Using proportions, it is found that $147.8 billion was spent on television advertising in the previous year.

This year spending's is of 141.7 billion, hence, the equation is:

[tex]0.959x = 141.7[/tex]

[tex]x = \frac{141.7}{0.959}[/tex]

[tex]x = 147.8[/tex]

$147.8 billion was spent on television advertising in the previous year.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Answer:

My graph. I can practice that can help.