what is a synthetic division used for

Given:

The inequality is:

[tex]5x-y>-3[/tex]

To find:

The graph for the given linear inequality in the coordinate plane.

Solution:

We have,

[tex]5x-y>-3[/tex]

The related equation for this inequality is:

[tex]5x-y=-3[/tex]

The table of values is:

x         y

0        3

-1        -2

Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.

Check the given inequality for (0,0).

[tex]5(0)-(0)>-3[/tex]

[tex]0>-3[/tex]

This statement is true. So, the shaded area of the given inequality is towards the origin.

Therefore, the required graph is shown below.

Answer:

7

Step-by-step explanation:

3 combos

2 tacos

1 drink

3 combos × 2 taco = 6

6 is for the combos and tacos.

6 + 1 drink = 7

they have 7 altogether

Answer:

x=5

Step-by-step explanation:

See image below:)

Answer:

B

Step-by-step explanation:

Let me know if you need a detailed explanation.

Hope this helps!

Answer:

5^5

Step-by-step explanation:

There are 5 fives being multiplied together.

The expression 5x5x5x5x5 can be written in exponential form as [tex]5^5[/tex].

To express the expression 5x5x5x5x5 in exponential form, follow these steps:

Step 1: Count the number of times the base (5) is multiplied by itself (the number of factors).

Step 2: Write the base (5) followed by the exponent, which is the number of factors from Step 1.

In this case, the base is 5, and it is multiplied by itself 5 times:

5x5x5x5x5 = [tex]5^5[/tex]

So, the expression 5x5x5x5x5 can be written in exponential form as [tex]5^5[/tex].

To know more about exponential form, refer here:

https://brainly.com/question/29166310

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Answer:

24 and 32

Step-by-step explanation:

Let their present ages be x and y

Therefore, x

[tex] \frac{x}{y} = \frac{3}{4} [/tex]

we have 4x = 3y

4x - 3y = 0......................(I)

After four years,

[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]

we have, 9(x + 4) = 7(y + 4)

9x + 36 = 7y + 28

9x - 7y = -8 ........................(ii)

Solving (I) and (ii) simultaneously

4x - 3y = 0

9x - 7y = -8

multiply eqn I by 9 and equation (ii) by 4 and subtract result

36x - 27y = 0...............(iii)

36x - 28y = -32...........(iv)

subtracting (iv) from (iii) we have,

y = 32

substituting y back in equation (I)

4x - 3y = 0

4x -3(32) = 0

4x - 96 = 0

4x = 96

x = 24

Their ages are 24 and 32

Answer:

The probability that the 2nd Heads occurred at the 4th toss is 5.99%.

Step-by-step explanation:

Given that there were 4 Heads in the first 7 tosses, to find the probability that the 2nd Heads occurred at the 4th toss the following calculation must be performed:

7 - 4 = 3

4/7 x 3/7 x 3/7 x 4/7 = X

0.571 x 0.428 x 0.428 x 0.571 = X

0.0599 = X

Therefore, the probability that the 2nd Heads occurred at the 4th toss is 5.99%.

Answer:

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mathstatistics and probabilitystatistics and probability questions and answersProblem 9 You Have Been Assigned To Conduct A Survey Of College And Career Intentions Of High ...

Question: Problem 9 You Have Been Assigned To Conduct A Survey Of College And Career Intentions Of High School Students At A Local High School. You Need To Start By Drawing A Simple Random Sample Of 40 Students. Which Of The Following Is Most Likely To Produce A Simple Random Sample? Select The First 40 Students To Enter The Library Select Every 10th Student ...

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Problem 9 You have been assigned to conduct a survey of college and career intentions of high school students at a local high

Show transcribed image text

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Given data

[tex]\frac{4}{y} +\frac{3}{x} =8\\\frac{6}{y}+\frac{5}{x} =13[/tex]

Now,

4x+3y=8xy......(i)

6x+5y=13xy.......(ii)

Multiply by 5 in equation (i) and by 3 in equation (ii)

20x+15y=40xy.....(iii)

18x+15y=39xy.....(iV)

Solving above equation (iii) and (iv)

2x=xy

y=2

Now, putting the y=2 in equation (i)

4x+3(2)=8x(2)

4x+6=16x

6=12x

x=0.5

Value of x=0.5

Answer: 3 I think

Step-by-step explanation:

Answer:

Volume = 40

Step-by-step explanation:

Formula for Volume: Volume = w*h*l

Plug in the values: Volume = 5*4*2

Volume = 40

Answer:

6 days

Step-by-step explanation:

1 L = 1000 mL

3 days = 1500 mL = 1.5 L

9 L divided by 1.5 L = 6 days

Answer:

Number of  degrees of freedom = 2

Step-by-step explanation:

The degree of freedom in such type of chi-Square test depend on the number of phenotypes of the a particular species produced in a given cross.

Here the total phenotype number is three i.e yellow, purple, or red

Hence, the number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom = total number of phenotype - 1

Number of  degrees of freedom =  3-1

Number of  degrees of freedom = 2

Answer:

x=-69/7

Step-by-step explanation:

f (-1) f (x)=(x-10) 3+4

-1=(x-10) 3+4

-1=(x-10) 7

You will multiply 7 by (x-10)

-1=7x-70

Well move the-1 to the right hand side which will become+1 and move the+7x to the left hand side which will become -7x

-7x=-70+1

-7x=-69

So you will divide both sides by-7

-7x/7=-69/7

x=-69/7

Answer:

C

Step-by-step explanation:

Consecutive numbers are directly next to each other on the number line, so B is already out of the question. Add each pair together to see which one is 131.

Answer:

C. 65 and 66

Step-by-step explanation:

Let x be first number

Then x + 1 be next number

x + (x + 1) = 131

2x + 1 = 131

2x = 130

x = 65

x + 1 = 66

Answer:

its 238,535km²

Step-by-step explanation:

i hope it helps alot

What is the area of Ghana?

ඞ Ghana covers an area of [tex]\sf\purple{238,535\: km²}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

ndwiqnubuyohaiuhdiupas

I GOT A BLEEE

Step-by-step explanation:

Answer:

- 9/2 , - 7/4

Step-by-step explanation:

You can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps. and it is free.

9514 1404 393

Answer:

  A.  -1

Step-by-step explanation:

The table shows that g(x) = 0 for x = -1.  (third row)

The other solution is x = -1.

Answer:

She did nothing wrong

Answer:

2.50 + 1.25= 3.75

15.00 - 3.75= 11.25

Step-by-step explanation:

Answer:

Margin of error = 4.21 ounces  

Step-by-step explanation:

According to the Question,

Therefore, Sample mean = 31 ounces  ,  Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces

Putting The Values, We get

1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21

Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces

Answer:

See below

Step-by-step explanation:

Feel free to be creative or even to come up with an activity you think your teacher has not seen before.

Liked that. So let's be creative.

Part 1: Record Information

Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:

1. What was the activity?

I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.

2. How long did you spend doing your activity?

Suppose it took you 5 minutes.

3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)

You did 100 joge suburi in 5 minutes. It means [tex]\dfrac{100}{5} = 20 \text{ per minute}[/tex]

4. Which of these variables is your dependent variable?

If you want to calculate how much suburi you did in an amount of time [tex]x[/tex], given the time in minutes, we can write the function

[tex]y = f(x)=20x[/tex]

Therefore, the dependent variable is the number of suburis. More precisely it is given by [tex]y[/tex]. On the other hand, the independent variable is [tex]x[/tex], the time.

Considering the example: I did 24 sit-ups in one minute.

sit-ups is the dependent variable and the number of minutes represents the independent variable.

Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be

[tex]g(x) = 24x[/tex]

5. Which one is the independent variable?

The time in minutes.

6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)

You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.  

Part 2: Prepare a Table

Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time (minutes)          Quantity of suburi

0                                         0

1                                          20

2                                         40

3                                         60

4                                          80

5                                         100

Part 3: Prepare a Graph

Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.

This part I will let it to your. But is is just a linear graph.

Part 4: Write an Equation

Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.

[tex]y = f(x)=20x, \forall x \in\mathbb{Z}_{\geq 0}[/tex]

[tex]y: \text{number of suburis}[/tex]

[tex]x: \text{time}[/tex]

7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?

For [tex]x=12[/tex]: [tex]y = f(12)=20\cdot 12 = 240[/tex]

240 suburis

8. How long would it take you to reach 100 for the number of times you did your activity?

5 minutes.

9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.

The function is the best because it describes all the variables easily.

Answer:

uog cougccutxcouxi tdddpfd tdosiduo

Step-by-step explanation:

গ cuogchlicglici xiyxryfkcyricgilxiygciyrcuoxucy

A line is a one-dimensional shape that is straight, has no thickness. The length of the sides AB is 13 units.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

Given Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3, and AC is 7x- 6. Since the three points are collinear therefore, the sum of AB and BC will be equal to AC. Therefore, we can write,

AB + BC = AC

4x - 3 + 2x + 1 = 7x - 6

6x - 2 = 7x - 6

-2 + 6 = 7x - 6x

4 = x

Now, since the value of x is 4, the measurement of AB is,

AB = 4x - 3 = 4(4) - 3 = 16 - 3 = 13 units

Hence, the length of the sides AB is 13 units.

Learn more about Line:

https://brainly.com/question/21511618

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Answer:

it's 12!

Step-by-step explanation:

Answer:

C. 10

Step-by-step explanation:

First, you plug in f(-1.8) into the original equation.

f(-1.8) = -2 (-1) + 8

The reason why I rounded -1.8 to -1 is because we're using the ceiling function, which means we need to round up (the brackets tell you in Edge but not on Brainly). Rounding up a negative number means we are going closer to 0. The next whole number close to -1.8 on the right will be -1.

Now solve:

f(-1.8) = 2 + 8 = 10

The answer is 10 if f(-1.8)

If you need more proof I took the quiz as well:

Answer:

A) 80,164

B) S_n = (n/2)(17 + n)

Step-by-step explanation:

A) Formula for the nth term of an arithmetic progression series is;

a_n = a + (n - 1)d

a is first term of the series and in this case it is 9.

Difference is d which is 1 since they are consecutive integers.

Thus, For the last term which is 400, we have;

400 = 9 + (n - 1)1

400 - 9 = n - 1

391 = n - 1

n = 391 + 1

n = 392

Thus,there 392 terms in this sequence.

Formula for sum of an AP is;

S_n = (n/2)(2a + (n - 1)d)

S_392 = (392/2)((2 × 9) + (392 - 1)1)

S_392 = 80,164

B) The last term here is k, so we can't know exactly how many terms are in this sequence. Thus, let the number of terms be n.

Now, as above,

a = 9

d = 1

Sum of this AP sequence is;

S_n = (n/2)((2 × 9) + (n - 1)1)

S_n = (n/2)(18 + n - 1)

S_n = (n/2)(17 + n)

Answer:

25 minutes

Step-by-step explanation:

1 hour 15 minute ( 1 hour = 60 minutes)

60+15 = 75 minutes

75 minutes for play practice

Divide by 3 to get the amount of time for homework

75/3 = 25

25 minutes for homework

Time taken by Trevor to practice for the school play=1 hour 15 minutes=1.15 hours

Time taken by Trevor to finish his homework=1.15×3=3.45=3 hour 45 minutes

Hope it helps you

A . Perfect square

Step-by-step explanation:

This is your answer

Hope this helps you :)

Answer: B- Perfect cube

Step-by-step explanation: I am smort

Answer:

Step-by-step explanation:

Formula:

Given:

The circumference:

Hope this help!!!

Have a nice day!!!