According to the synthetic division below, which of the following statements
are true?
Check all that apply.

Answers

Answer 1

The question is not complete, so i have attached it.

Answer:

Options A, B & E are correct

Step-by-step explanation:

In the synthetic division attached, we see that:

: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12

: The divisor is 3

Thus;

x = 3 is a root of f(x) = 2x² - 2x - 12

Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12

- Now, from the attached image, the coefficients of the quotient are 2 , 4

- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)

The degree of the dividend will be 2 since it contains x²

Thus, the degree of the quotient will be 1

Therefore, the quotient in factor form is (2x + 4)

Looking at the given statements in the options;

- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12

- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12

- Option C is not true because the factor is (x + 3) and not (x - 3)

-Option D is not true because the root is 3 and not -3

- Option E is true because we have established that quotient as a factor is: (2x + 4)

Thus, the correct options are A , B , E

According To The Synthetic Division Below, Which Of The Following Statementsare True?Check All That Apply.

Related Questions

SOMEONE HELP ILL KISS U

Answers

Answer:

0, 5x

Step-by-step explanation:

0 in the first box

5x in the second box

What are some rules you need to know when solving absolute value inequalities and equations?

Answers

Answer:

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative. You can write an absolute value inequality as a compound inequality. This holds true for all absolute value inequalities. You can replace > above with ≥ and < with ≤.

Step-by-step explanation:

hope this helps!

Answer: -absolute value inequalities work two ways, not 1

-if it's greater than anything less than 0, then the solution is all real numbers

- if it's less than zero, there is no solution

-dividing by -1 flips the sign

Step-by-step explanation:

These are just some of the rules that I know

HELP PLZ!

Which fraction is equal to 0.7?

A) 7/99
B.) 7/11
C.) 7/10
D.) 7/9

Which fraction is equal to 0.54?

A.) 27/50
B.) 49/90
C.) 6/11
D.) 5/4

How can the decimal 0.57 be written as a fraction?

A.) 19/33
B.) 57/100
C.) 56/99
D.) 577/999

Answers

Answer:

the first one is A the second one D the third one B

Step-by-step explanation:

hope this will help you

Answer:

Which fraction is equal to 0.7?

C.) 7/10

Which fraction is equal to 0.54?

A.) 27/50

How can the decimal 0.57 be written as a fraction?

B.) 57/100

Step-by-step explanation:

Hope this helps and have a great day :)

Shyryia read a book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 out of the total 480 pages left to read. Let y represent the number of pages left to read after x hours.

Complete the equation for the relationship between the number of pages left and number of hours.

Answers

Answer:

[tex]y=-52x+480[/tex]

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If there is a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

[tex]y=mx+b[/tex]

The event into consideration is the number of pages of a book left to read by Shyryia.

We know that for x=1.5 hours, she had y=402 out of the total 480 pages left to read. This is the point ( 1.5, 402 ). The other point is not obvious but can be inferred by context. If she hasn't used any time to read (x=0), then she would have y=480 pages left to read. This is the point (0,480).

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substituting the given points:

[tex]\displaystyle y-402=\frac{402-480}{1.5-0}(x-1.5)[/tex]

[tex]\displaystyle y-402=\frac{-78}{1.5}(x-1.5)[/tex]

Operating:

[tex]y-402=-52(x-1.5)[/tex]

[tex]\mathbf{y=-52x+480}[/tex]

Answer:

-52x+480.

Step-by-step explanation:

I took the test, definitely correct

Describe the pattern in the table using words, an equation, and a graph. Extend the pattern for x=5, 6 and 7.

Answers

Answer:

Step-by-step explanation:

x           y           Difference [tex](y_2-y_1)[/tex]

1          15                      -

2         25              25 - 15 = 10

3         35              35 - 25 = 10

4         45              45 - 35 = 10

There is a common difference of 10 in each successive term of y.

Therefore, table represents a linear function.

Let the equation of the linear function is,

y = mx + b

Here 'm' = slope of the line

b = y-intercept

Since, two points (1, 15) and (2, 25) lie on the graph of the function,

Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                        m = [tex]\frac{25-15}{2-1}[/tex]

                        m = 10

Equation of the line will be,

y = 10x + b

For the value of 'b' (y-intercept),

Since, (1, 15) lies on the graph of the linear function,

15 = 10(1) + b

b = 15 - 10

b = 5

Equation of the line on the graph will be,

y = 10x + 5

Now we can determine the output value of the function with the input values, x = 5, 6 and 7

[tex]y_1[/tex] = 10(5) + 5 = 55

[tex]y_2[/tex] = 10(6) + 5 = 65

[tex]y_3[/tex] = 10(7) + 5 = 75

What is the solution of 13 = t + 7 t​

Answers

Answer:

t=1.625

Step-by-step explanation:

13=8t

divide both sides by 8

t=1.625

Jim earns 3% commission every month on his total sales. This month, his total sales were $620,000. How much commission did Jim earn?
Group of answer choices

A-$18,600

B-$20,600

C-$206,000

D-$186,000

Answers

answer is A. $18,600 because $620,000 × 3% = $18,600

pretty sure its A.

Brainliest?... thx

101 = -4 + 5(x + 2)

please help

Answers

Answer:x=19

Step-by-step explanation:

101 = -4 + 5(x + 2)

101= -4 +5x+10

91=-4+5x

95=5x

x=19

19

Step-by-step explanation:

Distribute 5

101=-4+5x+10

Combine like terms

101=5x+6

Get x alone on one side by subtracting 6

95=5x

Simplify

19=x

Which statement best explains whether the table represents a linear or nonlinear function?

It is a linear function because there is a constant rate of change in both the input and output values.

It is a nonlinear function because there is a constant rate of change in both the input and output values.

It is a linear function because the input values are decreasing.

It is a nonlinear function because the input values are increasing.



Input
(x) Output
(y)
−2 7
−5 4
−8 1
−11 −2

Answers

Answer:

The correct answer is:

It is a linear function because there is a constant rate of change in both the input and output values.

Step-by-step explanation:

Given table is:

Input (x) Output (y)

−2 7

−5 4

−8 1

−11 −2

It can clearly be observed that the values for x and y are changing with the same rate.

In case of x, -3 is added to the previous input to get the next input.

Similarly, in case of y, the next output value is obtained by subtracting 3 from the previous value.

Hence,

The correct answer is:

It is a linear function because there is a constant rate of change in both the input and output values.

20. If g(x) = x^3+9/3x evaluate g(-3)​

Answers

Answer:

2

Step-by-step explanation:

-3^3+9/3*-3= 2 ypu have tu substitute the x by -3 always.

Suntract ( p-q)-(p+q)​

Answers

The answer is -2q

hope this helps <3

The answer to the question is -2q

2/3(-2)+4
2/3(-1)+4
2/3(0)+4
2/3(1)+4
2/3(2)+4
SOLVE PLEASE!!

Answers

Answer:

how do u want meto read it?

Step-by-step explanation:

What is 4 1/3 times 4 1/2

Answers

Answer:

19 1/2

Step-by-step explanation:

4 1/3 = 13/3

4 1/2 = 9/2

13/3 x 9/2

13/1 x 3/2 ( 3 goes into nine so i simplified)

13 x 3/1 x 2 = 39/2 = 19 1/2

A) Side measures of the triangle are given. Apply the Pythagorean Inequality to
classify each triangle as Acute, Obtuse or Right triangle.
1) 15 yd ; 8 yd ; 17 yd
2) 10 in ; 9 in; 5 in
3) 18 ft; 11 ft; 14 ft
4) 17 yd; 13 yd ; 20 yd
Pls solve all it due soon plsssssssssss

Answers

Answer:

1 obtuse

2 acute and

3 acute and

4 obtuse  

Step-by-step explanation:

Two hot air balloons are traveling along the same path away from a town,
beginning from different locations at the same time. Henry's balloon begins
30 miles from the town and is 48 miles from the town after 2 hours. The
distance of Tasha's balloon from the town is represented by the function y =
8x+ 20.
Which balloon was farther from the town at the beginning, and which traveled
more quickly?
A. Henry's balloon was farther from the town at the beginning, and it
traveled more quickly.
O B. Henry's balloon was farther from the town at the beginning, but
Tasha's balloon traveled more quickly.
O C. Tasha's balloon was farther from the town at the beginning, and it
traveled more quickly
D. Tasha's balloon was farther from the town at the beginning, but
Henry's balloon traveled more quickly.

Answers

Answer:

it si this

Step-by-step explanation:

Simplifying

4y + -10 = 5 + -1y

Reorder the terms:

-10 + 4y = 5 + -1y

Solving

-10 + 4y = 5 + -1y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add 'y' to each side of the equation.

-10 + 4y + y = 5 + -1y + y

Combine like terms: 4y + y = 5y

-10 + 5y = 5 + -1y + y

Combine like terms: -1y + y = 0

-10 + 5y = 5 + 0

-10 + 5y = 5

Add '10' to each side of the equation.

-10 + 10 + 5y = 5 + 10

Combine like terms: -10 + 10 = 0

0 + 5y = 5 + 10

5y = 5 + 10

Combine like terms: 5 + 10 = 15

5y = 15

Divide each side by '5'.

y = 3

Simplifying

y = 3

Answer: A.

Step-by-step explanation: Henrys balloon was farther from the town at the beginning, and it traveled more quickly

I got this right so don't let anyone tell you different  

Please help... Question is in the picture

Answers

Answer:

B) (0,1)

Step-by-step explanation:

The line crosses the y-axis at (0, 1), so that makes (0, 1) the y-intercept.

Hope this helps!

PLEASE HELP

If this is the graph of f(x)=a^(x+h)+k then.

Answers

Answer:

a

Step-by-step explanation:

Answer: 0<a<1

Step-by-step explanation:

A pizza shop sells pizzas that are 12 inches in diameter or larger a 12 inch cheese pizza cost eight dollars each additional inch cost $2.50 and each additional toppings cost $1.25 write an equation that represents the cost of the pizza be sure to specify what variables represent they'll be three variables

Answers

Answer:

C(x, y) = 8 + 1.25x + 2.50(y - 12)

Step-by-step explanation:

Given that:

Cost of 12 inch cheese pizza = $8

Each additional inch cost $2.50

Each additional topping cost $1.25

The cost equation :

Let x = additional topping ; y = diameter of pizza, cost of pizza = C

C(x, y) = cost of 12-inch + (cost of additional topping * number of additional topping) + (cost per additional diameter * extra diameter)

C(x, y) = 8 + 1.25x + 2.50(y - 12)

Answer: C(x, y) = 8 + 1.25x + 2.50(y - 12)

Step-by-step explanation:

Find the value of y​

Answers

Answer:

69 degrees

Step-by-step explanation:

The triangles are congruent because one of the angles is congruent to the other and the angle at the top is the same. The total number of degrees in a triange is 180. 180-(66+45 (the angle lenghts of the other 2 angles)) is equal to 180-111=69 degrees.

Which expression shows the sum of the polynomials with like terms grouped together?
10x’y+2xy2 - 4x2 - 4x^y
o [(-4x) + (-4x²y) + 10x?y] + 2xy?
o 10x+y+2xy?= [(-4x2)+(-4x²y)]
• (-4x2) + 2xy +[10x²y+ (-4x?y)]
o (10x+y+2xy?+ (-4x+y)]+(-4x)

Answers

Answer:

C (-4x2) + 2xy + (10x^2 y + ( -4x^2 y )

Step-by-step explanation:

I got it right on the test :3 UNUS ANNUS

Polynomial (3) [tex](-4x^2)+2xy^2+[10x^2y+(-4x^2y)][/tex] gives the sum of the given polynomial [tex]10x^2y+2xy^2-4x^2-4x^2y[/tex] with like terms grouped together.

What is Polynomial?

Polynomial is a mathematical expression made of one or more algebraic terms (variable) with different powers and different combinations and coefficients.

We can add or subtract only like terms in a polynomial, and like terms are which have the same variable combination with similar power but the coefficient can be different.

Here given polynomial is [tex]=10x^2y+2xy^2-4x^2-4x^2y[/tex]

Here we have to group the like terms in the given polynomial which are [tex]10x^2y,(-4x^2y)[/tex].

So grouping the like terms we can write the sum of the given polynomial as [tex](-4x^2)+2xy^2+[10x^2y+(-4x^2y)][/tex].

Hence option (3) is correct.

Learn more about Polynomial here -

https://brainly.com/question/1600696

#SPJ2

Use the properties of logarithms to expand the expression as a sum or difference, and/or constant multiple of logarithms. (Assume all variables are positive) ​

Answers

Answer:

[tex]\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)[/tex]

Step-by-step explanation:

[tex]\log_5(\frac{9\sqrt{x}}{y^3})[/tex]

First rule I'm going to use is the quotient rule:

[tex]\log_b(\frac{m}{n})=\log_b(m)-\log_b(n)[/tex]

[tex]\log_5(9\sqrt{x})-\log_5(y^3)[/tex]

Secondly, I'm going to rewrite the radical.

[tex]\sqrt{x}=x^\frac{1}{2}[/tex]

[tex]\log_5(9x^\frac{1}{2})-\log_5(y^3)[/tex]

Third, I'm going to use the product rule on the first term:

[tex]\log_b(mn)=\log_b(m)+\log_b(n)[/tex]

[tex]\log_5(9)+\log_5(x^\frac{1}{2})-\log_5(y^3)[/tex]

Fourth, I'm going to use power rule for both of the last two terms:

[tex]\log_b(m^r)=r\log_b(m)[/tex]

[tex]\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)[/tex]

Sara walks at a constant speed. She walked 1 mile in 15 minutes. Which equation represents the amount of time in minutes, t, that it took for her to walk a distance of d miles? *
t = (1/15)d
t = 15d
t = d + 15
t = d - 15

Answers

Answer:

t=15d

Step-by-step explanation:

The problem is asking for total time, so we can set everything equal to t. If it takes 15 minutes for 1 mile and she's walking at a constant speed, we know that the solution is t=15d.

We can plug in one mile to verify this answer.

t=15(1)

t=15

Hope this helped!

help asap do all these show work posting more after this one

Answers

Answer:

1) (2,10) is solution of y=4x+2

2) (7,5) is not solution of 2x+y=5

3) (-3,3) is not solution of y=6-x

4) (10,-1) is solution of x+8y=2

5) (2,21) is not solution of y=6x+7

6) (6,-8) is solution of 3x-y=26

Step-by-step explanation:

1) y=4x+2 (2,10)

Put x=2 and y=10 and check if both sides are equal or not

10=4(2)+2

10=8+2

10=10

So, (2,10) is solution of y=4x+2

2) 2x+y=5 (7,5)

Put x=7 and y=5 and check if both sides are equal or not

2x+y=5

2(7)+5=5

14+5=5

19≠5

So, (7,5) is not solution of 2x+y=5

3) y=6-x (-3,3)

Put x=-3 and y=3 and check if both sides are equal or not

y=6-x

3=6-(-3)

3=6+3

3≠9

So, (-3,3) is not solution of y=6-x

4) x+8y=2 (10,-1)

Put x=10 and y=-1 and check if both sides are equal or not

x+8y=2

10+8(-1)=2

10-8=2

2=2

So, (10,-1) is solution of x+8y=2

5) y=6x+7 (2,21)

Put x=2 and y=21 and check if both sides are equal or not

y=6x+7

21=6(2)+7

21=12+7

21≠19

So, (2,21) is not solution of y=6x+7

6) 3x-y=26 (6,-8)

Put x=6 and y=-8 and check if both sides are equal or not

3x-y=26

3(6)-(-8)=26

18+8=26

26=26

(6,-8) is solution of 3x-y=26

Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate. How many jumping jacks can Delilah do per minute?

Answers

Answer:

414829.243 jumping jacks/minute

Step-by-step explanation:

Divide the total number of jumping jacks done by the total time.

[tex]\frac{184184184}{444} =414829.243[/tex]

Answer:

46

Step-by-step explanation:

What is the equation of the line that passes through the point (-4,8) and has a slope of -1/4

Answers

Y- -1/4 = -4(x+8) thus should be the answer

PLEASE HELP ME!!!!!
This is due tomorrow and I am struggling. I don’t understand anything my math teacher teaches. I’m online cause I don’t like going to school and Im trying to make the best of it. I never thought this year I would have a math teacher like this. Last year my math teacher was such a good teacher. I passed every test in her class it was a piece of cake. But this year I’m not so lucky. So I’m asking if anyone can HELP ME PLEASE!!!! Oh and as a reminder there’s two math problems. U going to have to click it cause it’s an photo.

Answers

Step-by-step explanation:

2.

(2 + √3)(2 - √3)

x² - y² = (x + y)(x - y)x = 2, y= √3x² = 2² = 4y² = √3² = 3(2 + √3)(2 - √3) = 4 - 3 = 1

3.

(6 + √5)/(6 - √5)

Multiply both numerator and denominator by (6 + √5) to simplify(6 - √5) ((6 + √5) = 6² - √5² = 36 - 5 = 31(6 + √5)/(6 +√5) = 6² + 2*6*√5 + √5² = 36 + 12√5 + 5 = 41 + 12√5(6 + √5)/(6 - √5)  = (41 + 12√5)/31

Please help me?? Solve for x

Answers

x= 10

This is because 180-95= 85 which would make 8x+5= 85

Subtract 5 from both sides and get 8x=80

Then, divide 8 from both sides and get x=10

Step-by-step explanation:

95+8x+5=180

100+8x=180

8x=80

X=80/8

x=10

IF THE SUM CONSECUTIVE ODD NUMBERS IS 45, FIND THEM. (STEP BY STEP PLZ)​

Answers

Answer:

[tex]\huge\boxed{\sf 13 , 15 , 17}[/tex]

Step-by-step explanation:

Let x , x+2 and x+4 be the consecutive numbers

Given Condition:

x + x + 2 + x + 4 = 45

3x + 6 = 45

Subtract 6 to both sides

3x = 45 - 6

3x = 39

Dividing both sides by 3

x = 13

So,

The numbers are:

x = 13

x + 2 = 13 + 2 = 15

x + 4 = 13 + 4 = 17

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Answer:

let the number be n

n+n+2+n+4 =45

3n+6=45

3n+6+6=45-6

        3n/3=39/3

             n=13

n=13

n+2=13+2

      =15

n+4=13+4

     =17

13,15,17

Step-by-step explanation:

pliz mark brainliest

PLS HELP WITH ALGEBRA QUESTION ON MATRICES. WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

I think A but for sure on C and D. Good luck

In a carnival drawing, a green ticket wins $1, a yellow ticket wins $5, and a blue ticket wins $10. There are 100 green tickets, 25 yellow tickets and 5 blue tickets. In simplest form, what are the odds in favor of winning $5 or more?

A. ) 1:4
B. ) 1:5
C. ) 1:25
D. ) 3:10

Answers

Answer:

D) 3:10

Step-by-step explanation:

Well only blues and yellows are at least $5. there are 25 yellows and 5 blues and if you add them together there's 30 in total. Now compare that 30 to 100 and you have 30:100. In the simplest form you have to divide both sides by 10 and it becomes 3:10.

Other Questions
Please give me the answer to these right away. the frequency of an activity refers to the A. Length of time it takes for an exercise or group of exercises to be complete B. classification of exercise C. amount of energy exerted while performing and exercise D. number of times an exercise or group of exercises is performed Within certain amount of time frame Use the given information to write the equation of the line.slope 2, y-intercept - 4 Your short story should be 12 pages long.Before submitting your story, make sure your story has an exposition, rising action, climax, and a resolution a setting, plot, and theme imagery to create mood a narrator with a consistent point of view dialogue to move the plot and show the characters ideas and feelings consistent verb tense a variety of sentence structuressimple, compound, complex correct capitalization, punctuation, and spelling I will give brainest to who ever has the best The process of translation occurs in the ______________________ of the cell The graph of the cube root of X is shifted one unit down in seven units to the left. What is the equation of the resulting graph? Explain A train travels a distance of 862 miles. Then it travels another 312 miles. The train then travels another 403 miles. How many more miles does the train travel on the first part of the trip than on the second and third trips combined? * A statistics practitioner would like to estimate a population mean to within 50 units with 99% confidence given that the population standard deviation is 250. What sample size should be used A cube of wood having an edge dimension of 19.5 cm and a density of 651 kg/m3 floats on water. Required:a. What is the distance from the horizontal top surface of the cube to the water level?b. What mass of lead should be placed on the cube so that the top of the cube will be just level with the water surface? The karyotype, or chromosomal profile, for humans is shown. A karyotype can be used to investigate genetic disorders. The chemical colchicine is used in the production of karyotypes. Colchicine prevents spindle fibers from forming during the cell cycle what is a result if preventing spindle fibers from forming URGENT NEEDS ANSWERED WITHIN 20 MINUTESFind the radius of a circle whose sector area is 59 square inches and whose arc measures 40o. How many moles of sodium chloride are present in 0.5 L of 4 Molar NaCl(aq)Select one:O a. 2 molesO b. 3 molesc. 8 molesd. 0.25 moles Solve the simultaneous equations:3a-2b=14 12a+9b=39 how many is ounces is 4 gallons J. D. Is saving up to buy a set of Apple Airpods. It is advertised on the web site for $199. He has $56 saved. To make money, he does yardwork for his neighbors and receives $5.00 a day. How many days of yardwork will he need to complete to have enough money to buy the Airpods? His parents said they will pay the sales tax. 3(4x+4) pls quickly:) brainliest if right!!!!!!!! Once water vapor has been released into the atmosphere, it rises and cools, turning back into liquid. What is this process called?PLEASE HURRY!!!!!!!HAVE A VERY HAPPY THANKSGIVING GOD BLESS AND STAY SAFE!!!!!!!!!! Jeri has 2/3 yard of fabric to use for making some puppets she needs 1/6 yard for each puppet how many puppets can jeri make with the fabric The U.S Constitution has been altered by a number of amendments, such as the Twenty-Sixth Amendment that addressesA. Emancipation.B. Freedom of speech.C. Voting age.D. Womens rights.