The area of a rectangle is 5 x cubed + 19 x squared + 6 x minus 18 with length x + 3. using synthetic division, what is the width of the rectangle?
5 x squared + 4 x minus 6
5 x squared + 34 x + 108 + startfraction 306 over x + 3 endfraction
5 x cubed + 4 x squared minus 6 x
5 x squared + 34 x + 108 + startfraction 306 over x minus 3 endfraction

Answers

Answer 1

A rectangle is a 2-dimensional shape having 4 sides. The width of the rectangle is 5x^2 + 4x - 6

How to find the quotient of a function using synthetic division?

A rectangle is a 2-dimensional shape having 4 sides

The formula for calculating the area of the rectangle is given as:

A = lw

Given the following

Area = 5x^3+19x^2+6x-18
Length = x + 3

Using the synthetic division:

           5x^2 + 4x - 6

x + 3 |  5x^3+19x^2+6x-18

           5x^3 + 15x^2

________________________

                     4x^2 + 6x
                     4x^2 + 12x

__________________________

                                -6x - 18
                                -6x - 18

Hence the width of the rectangle is 5x^2 + 4x - 6

Learn more on area of rectangle here: https://brainly.com/question/25292087

Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

pleaseeee helppp i’m running out of time

Answers

Answer:

Square Root of 162 ~ 12.727

Step-by-step explanation:

Simply do the Pythagorean Theorem!

a^2 + b^2 = c^2

This case we're solving for the long side which is the hypothenuse.

9^2+9^2= c^

81+81=c^

162=c^

Square root of 162

Which is 12.727

Can someone please tell me the rest of the answers?

Answers

Answer:

35 miles per hour.

223 minutes to reach destination.

Step-by-step explanation:

It's counting down by 35

35 miles per hour.

260/35=7.42857142857

7.42857142857*30=222.857142857

Rounding to nearest whole number

223

SonicIsCoool

On Scratch you tube, Inst and much more here to help :)

Lisa brought $5.60 to the bakery. She spent $2.95 on cupcakes. How much money does Lisa have left?

Answers

Answer:

2.65

Step-by-step explanation:

5.60-2.95 = the sum of the money left.

Use the number line below to determine which of the following answer choices has statements that are all true.

Answers

Answer:

I agree with D

Step-by-step explanation:

just because

Two lines that are ____________ have one solution.

Answers

Answer:

Not parallel  

Step-by-step explanation:

Could be   perpindicular    or   not parallel

Help me in this graph question please

Answers

Answer:

D

Step-by-step explanation:

In the first year the height of the plant is 3 feet, the second year is 6 feet etc.

Please help me I really need it

Answers

Answer: 170

Step-by-step explanation: Like I answered before: Angle G and Angle H are consecutive angles, meaning they both add up to 180 degrees. Thus, if 10 is the value of Angle G, Angle H must be 170.

Answer:

<CDA = 170⁰

Step-by-step explanation:

<A + <D = 180⁰ { Adjacent Angles of an parallelogram are supplementary}

10⁰ + <D = 180⁰

<D = 180⁰ - 10⁰ = 170⁰

<D = x⁰ = 170⁰ = <CDA

Why 00,13,589 is not the smallest possible 7-digit number?

Answers

Answer:

1000000 is the smallest 7-digit number

Express the function graphed on the axes below as a piecewise function.

Answers

Answer:

  f(x) = {x-3 for x ≤ -1; -3x+14 for x > 5}

Step-by-step explanation:

To write the piecewise function, we can consider the pieces one at a time. For each, we need to define the domain, and the functional relation.

__

Left Piece

The domain is the horizontal extent. It is shown as -∞ to -1, with -1 included.

The relation has a slope (rise/run) of +1, and would intersect the y-axis at -3 if it were extended.

The first piece can be written ...

  f(x) = x-3 for x ≤ -1

__

Right Piece

The domain is shown as 5 to ∞, with 5 not included.

The relation is shown as having a slope (rise/run) of (-3)/(1) = -3. If extended, it would intersect the point (5, -1), so we can write the point-slope equation as ...

  y -(-1) = -3(x -5)

  y = -3x +15 -1 = -3x +14

The second piece can be written ...

  f(x) = -3x +14 for x > 5

__

Whole function

Putting these pieces together, we have ...

  [tex]\boxed{f(x)=\begin{cases}x-3&\text{for }x\le-1\\-3x+14&\text{for }5 < x\end{cases}}[/tex]

_____

Additional comment

Sometimes it is convenient to write inequalities in number-line order (using < or ≤ symbols). This gives a visual indication of where the variable stands in relation to the limit(s). Perhaps a more conventional way to write the domain for the second piece is, x > 5.

(Please someone help me!) (No links!)
What do I put??

Answers

Answer:

X=16

Missing angle = 48

Step-by-step explanation:

The value of x is 16
The measure of the missing angle is 48

This is because it’s a right angle meaning the two angles HAVE to equal 90.
You can set the equation as
42 + 3x=90
3x= 48 (subtract 48 by 90)
X=16 (divide both sides by 3)
And then you can plug 16 back into the 3x which would be 3(16) which equals 48
Or
You can set the equation as
90-42= 48
And divide by 3 to get x=16

round 7.430499778 to the nearest millionth

Answers

It goes tenth, hundredth, thousandth, ten thousandth, hundred thousandth, then millionth. So 7.430499

A researcher weighed watermelons grown across a certain region. The data are rounded to the nearest pound and displayed in this histogram.


What does the fourth bin represent?


Select from the drop-down menu to correctly complete the statement.


Four watermelons weigh

Answers

Answer:

at least 12 pounds but less than 16 pounds

Step-by-step explanation:

as you can see on the chart its less then 16 but at least 12 pounds

At least 12 pounds but less than 16 pounds

Explanation:

I took the K12 5.08 Quiz: Create and Interpret Histograms.

I will only list the questions and the CORRECT answers below.

1. A shopping center keeps track of the number of customers in each store at lunch time. The data shows the number of customers in the 15 different stores in the shopping center last Sunday.

4, 18, 20, 17, 16, 23, 19, 14, 8, 8, 6, 12, 10, 14, 18

0-4 = 1

5-9 = 3

10-14 = 4

15-19 = 5

20-24 = 2

2. The list shows the distance driven by 10 different families on vacation.

199, 58, 180, 226, 191, 201, 167, 180, 199, 205

Which frequency table represents this data?

Miles Driven Frequency

   0 - 49                 0

 50 - 99                1

100 - 149                0

150 - 199                6

200 - 249        3

3. How many more students have 2 or 3 siblings than 4 or 5 siblings?

9 students.

4. How many shoppers are at least 30 years old?

5 shoppers.

5. What does the fourth bin represent?

Four watermelons weigh

At least 12 pounds but less than 16 pounds.

Hope you do well on future quiz's!! Have an amazing year/decade!

What are souloutions to (x+9)^2=49

Answers

(x+9)=49:2
x+9=24.5
x=24.5-9
x=15.5
I think it right

Tell me how to describe the translation

Answers

figure IMQU vertically over +4

Number Sense George is thinking of a number less than 10 that has an odd product when multiplied by 5. What could George's number be?​

Answers

Answer: 3
Explanation: 3x5=15 and 3 is less than 10

Write the equation of the given line in slope-intercept form:

Answers

Answer:

Step-by-step explanation:

so u add it like its a shape and put a x and there :)

Ann is flipping a coin and rolling two dice. How many outcomes are possible?

Answers

Step-by-step explanation:

The coin can result in one of two possibilities. For each of those . . .

The cube has 6 possibilities.

Total possibilities for the coin and the cube = 2 x 6 = 12

please help fast it is due​

Answers

A right triangle with a 45 degree angle means the two short sides are the same, so y = 30


the hypotenuse is the length of the side x sqrt (2), so x =30sqrt(2)


answer: x = 30sqrt(2) and y = 30


If f(x) = 10x^3-37x^2+15x+18 and x-3 is a factor of f(x), then find all of the zeros of f(x) algebraiclly.

Answers

Answer:

x=6/5 and x=-(1/2)

Step-by-step explanation:

[tex]f(x) = 10x^3-37x^2+15x+18\\f(x) = \frac{(5x-6)(2x+1)(x-3)}{(x-3)}\\ f(x) = (5x-6)(2x+1)[/tex]

To find the zeros, we set f(x) = 0 for both factors

[tex]5x-6=0\\5x=6\\x=6/5[/tex]

[tex]2x+1=0\\2x=-1\\x=-1/2[/tex]

Therefore the zero's of f(x) are x = 6/5 and x= -(1/2)

Quickly before the timer runs out

Answers

Answer:

47°

Step-by-step explanation:

sum of angles in triangle=180

x + 90 + 43 = 180

x = 180 - 90 - 43

  = 47

Hope it helps:)

what is the slope of line QX? X(5,5) and Q(4,1) ​

Answers

Answer:

4

Step-by-step explanation:

[tex]slope = \frac{5 - 1}{5 - 4} \\ = \frac{4}{1} \\ = 4[/tex]

Answer: 4

Step-by-step explanation:

Slope is rise over run, which is the change in the y-values divided by the change in the x-values. Each point is given as a coordinate pair: (x,y).

For point Q (4,1) the y-value is 1 and the x-value is 4.

For point X (5,5), the y-value is 5 and the x-value is 5.

To find the slope, take the y-value for point X minus the y-value for point Q. That is the numerator of your slope. Then take the x-value for point X minus the x-value for point Q. That is the denominator of your slope.

The numerator divided by the denominator equals the slope.

(5-1)/(5-4) = (4)/(1) = 4

what's the answer to this question and how do I solve it?

Answers

Answer:

80 gummy bears are in 4 servings.

Step-by-step explanation:

2 servings=40 gummy bears

3 servings=60 gummy bears

40+20=60

Add 20 gummy bears for every serving.

5 servings=100 gummy bears

100-20=80 gummy bears are in 4 servings



OR you can also do:

40÷2=20 gummy bears are in each serving

So, 4x20=80 gummy bears are in 4 servings

Which of the following numbers CANNOT represent the probability of an event?

A. -0.5
B. 1
C. 0
D. 0.675

Answers

Answer : -0.5
Explanation: because it is a negative number and is less than 0 so it can’t be a probability for an event

-0.5 cannot represent the probability of an event.

Correct option is (A).

What is Probability?

This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Arithmetic uses probability to predict how probable certain events are to occur. Probability generally refers to the degree to which something is likely to occur.

As per the given data:

We have to find out that, which of the following numbers CANNOT represent the probability of an event.

Probability of an event = [tex]\frac{Favorable \: Events}{Total \: Number \: of \: Events}[/tex]

Favorable events or total number of events can never be negative, hence the probability of any event cannot be negative.

So from the above reasoning we can say that -0.5 cannot represent the probability of an event.

Hence, -0.5 cannot represent the probability of an event.

To learn more on Probability, click:

brainly.com/question/30034780

#SPJ7

what is the correct answers NEED ANSWERS FOR BOTH ASAP ​

Answers

Answer:

group like terms and solve

Answer:
1 and 3

2 and 4

Step-by-step explanation:
For the first one move all terms to one side and set equal to zero. Solutions are 3 and 1
Move all to one side for the second question and use quadratic formula to get x=4 and x=2

Find the median of the data in the box plot below.
dollars
Cost of each lunch for the month (in dollars)
8
9
10
7
4.
5
6
Сл
Report a problem
Stuck? Review related articles/videos or use a hint.

Answers

Median is just the middle number. If you put all the numbers in order from least to greatest:
4,5,6,7,8,9,10
Then you can find the one in the middle. In this case it’s 7.
10 20 30 40 50 60 80 90 100

A bag of flour weighs 2.5 kilograms.
About how much does the bag weigh in pounds ?
Round to the nearest tenth
I'll give you 55 points

Answers

Answer:

5.5 pounds

Explanation:

weight in kg = 2.5 kilograms

conversion:

1 kg ↔ 2.205 pounds

solve:

2.5 kilograms = (2.5 * 2.205)2.5 kilograms = 5.511557 pounds2.5 kilograms = 5.5 pounds ( rounded to nearest tenth )

Answer:

5.5 pounds (nearest tenth)

Step-by-step explanation:

1 kilogram = 2.20462262 pounds

To determine how many pounds are in 2.5 kg, multiply by 2.5:

⇒ 2.5 kilograms = 2.20462262 × 2.5

                           = 5.5 pounds (nearest tenth)

Lucia checked her online bank statement which shows the current balance is $412.76, pending withdrawals are $481.23, and pending credits are $134.00. What is Lucia's current available balance? (4 points)
−$202.47
$65.53
$123.67
$777.20

Answers

Considering the withdraws and credits, Lucia's current available balance is of $65.53.

How do we find a balance?

It is given by the sum of the money that the people has with the pending credits, and subtracted by the pending withdraws.

In this problem, we have that:

Lucia has $412.76, with pending credits of $134.00.She has pending withdraws of $481.23.

Hence, her avaiable balance is given by:

412.76 + 134 - 481.23 = $65.53.

More can be learned about balances at https://brainly.com/question/26867415

Hi. What's 8.563 + 4.8292?

Answers

Answer:

 8.563 + 4.8292 = 13.3922

Step-by-step explanation:

Remember to line up the decimal points and put zeros in any right-hand columns that don't have numbers if necessary (ex: 8.5630 + 4.8292).

Hope this helps!!

The table shows the possible outcomes of spinning the given spinner and tossing a fair coin. find the probability of spinning a 1 and tossing a head. ​

Answers

Considering a six-sided spinner, it is found that the probability of spinning a 1 and tossing a head is of [tex]\frac{1}{12}[/tex].

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

For the spinner, one is one out of six possible outcomes.For the coin, a head is one out of two possible outcomes.

Since the events are independent, the probability of spinning a 1 and tossing a head is given by:

[tex]p = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}[/tex].

More can be learned about probabilities at https://brainly.com/question/14398287

Please help for mooolah :(((

Answers

Answer: 61 in^2

Step-by-step explanation

triangle length = half of left side + 1.5

triangle length = 2 + 1.5 = 3.5

triangle area = (.5)(base)(length)

triangle area = (.5)(6)(3.5) = 10.5

you have 2 triangles

10.5 + 10.5 = 21

area of rectangle = left side width x length

area of rectangle = 4 x 10 = 40

add areas

21 + 40 = 61

Answer:

61 in^2

Step-by-step explanation:

The arrow is made of a rectangle and a triangle.

The rectangle's lengths is 10 in by 4 in. So, its area is 10 in * 4 in = 40 in^2

The triangle's lengths are 7 in by 6 in. So, its area is (7 in * 6 in)/2 = 21 in^2

add everything together.

Other Questions
The box plots summarize the attendance for the spring musical and fall musical. Each musical was performed for six evenings. Which statement best describes the data represented in the box plots? (6.13A) What amount of heat is required to increase the temperature of 75.0 g of water from 22.3C to 36.1C? If the point (-4,b) is on the line what is the value of b A restaurant has a soup-and-salad lunch with the choices listed in the table below. A soup and a salad are selected at random. What is the probability that tomato soup and a garden salad are selected?A 1/6B 1/5C 1/3D 5/6 Which of the Earths four spheres is composed of all the water on Earth, and is located at number 2 on the image above?A.the lithosphereB.the hydrosphereC.the atmosphereD.the biosphere 2 m6 mVolume = Base x heightFind the volume of this cylinder. OA. a pregnancy that ends spontaneously after 20 weeksOB. any pregnancy that ends before the full length of a normal pregnancyO c. the growth of a fertilized egg outside the uterus, usually in the fallopian tube Describe an example of an equity investment that can also produce income. (1-3 sentences) If ever two were one, then surely we.If ever man were lov'd by wife, then thee;If ever wife was happy in a man,Compare with me ye women if you can.What is the rhyme scheme in these lines? What can we learn from times of war? Which of these are recommended ways to organize ideas on note cards? Select all that apply. chronological in order of when the facts were found thematic order of importance HELP HELP WILL GIVE BRAINLIEST!!!!!!Which important biochemical process receives a supply of NAD+ ions from the fermentation process during anaerobic respiration?A. Calvin cycleB. electron transport systemC. glycolysisD. Krebs cycleE. proton pump mechanism Anthonys research question is ""what environmental policies have been adopted to protect southern blue whales near the coast of antarctica?"" he is having trouble finding sources that answer this exact question. how should he revise his research question? How did the country deal with arguments over slavery? How did the addition of new territory to the U.S. affect the question of slavery? What compromises were made relating to slavery in the 1800s? What were their effects? find the value of a and b in parallelogram WXYZ You are visiting Walt Disney World in July. You are extremely overheated. You are passionately driven to find a chilly, air-conditioned environment, and you wont stop looking until you find it! The principle at work in this scenario is ____________________. nothing12345678901dedbchdbajvb If the annual interest rate 4%, how long does it tke for you investment of $10,000 to grow to $15,000 Help me to answer this pls I need help solving this