What is the quadratic equation with the given roots 3 and -2/3

Answers

Answer 1

Answer:

x^2 - 7/3x-2

Step-by-step explanation:

x1=3, x2 =-2/3

(x-x1)(x-x2)=(x-3)(x-(-2/3))=

(x-3)(x+2/3)=x*x+x*2/3-3*x-3*2/3=

x^2 +2/3x-3x-6/3=

x^2 +2/3x-9/3x-2=

x^2 - 7/3x-2


Related Questions

the area is 28 square cm, and 4 width

Answers

Answer:

High is 7

Step-by-step explanation:

If  the area is 28 square cm, and 4 width Then the High is 7

Because 28/4=7

And 7*4=28

Find the surface area of number 4, last one!

Answers

Answer:

3,060 ft^2

Step-by-step explanation:

Shape 1:

Base: 36 × 10 = 360 (×2 = 720)

Large faces: 36 × 20 = 720 (×2 = 1,440)

Smaller face: 20 × 10 = 200

Add: 720 + 1,440 + 200 = 2,360

Shape 2:

Base: 15 × 10 = 150

Top face: 25 × 10 = 250

Triangular faces: 20 × 15 = 300

Add: 150 + 250 + 300 = 700

Add both shapes:

2,360 + 700 = 3,060

2 Points
The value 4 is an upper bound for the zeros of the function shown below.
f(x) = 4x2 - 12x2 – x+15
O A. True
O. B. False
SUBMIT

Answers

Answer:

Step-by-step explanation:

A true true

Answer:

T

Step-by-step explanation:

2. A ride in a taxicab costs $2.50 for the first mile and $1.50
for each additional mile or part of a mile.Write an equation
and make a graph that represents the total cost.

Answers

The equation for this graph would be Y=1.50x+2.50.

What is the equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

How to solve?

Because 1.50 is the price per mile and 2.50 is the starting price for the ride.

The equation for this graph would be Y=1.50x+2.50.

Learn more about Equations:

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Micah recorded the amount of time his mom and dad spend reading bedtime stories. He plotted the data in the box plot below.

Which is an accurate comparison of the two data sets?

The lengths of time that his mom reads are typically longer and have less variability than the lengths of time that his dad reads.

The lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads.

The lengths of time that his mom reads are typically shorter and have less variability than the lengths of time that his dad reads.

The lengths of time that his mom reads are typically shorter and have more variability than the lengths of time that his dad reads.

Answers

Answer:

The lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads.

Step-by-step explanation:

This is because the range is greater and the minimum and maximum are higher numbers.

The solution to the box plot is is the lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads.

What is box plot?

A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.

A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.

It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.

Given data ,

Let the box plots be represented as A and B

Now , the box plot A represents the minutes Mom used to spend during reading

And , the box plot B represents the minutes Dad used to spend during reading

From the box plots , we can see that the range is greater in the box plot A and the minimum and maximum are higher value numbers when Mom is reading the bedtime stories

Hence , from the box plots lengths of time that his mom reads are typically longer and have more variability than the lengths of time that his dad reads

To learn more about box plots click :

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it takes 12 minutes to answer 5 homework questions how many minutes will it take to answer 42 questions?

Answers

Answer:

100.8 minuts

Step-by-step explanation:

12 question = 5 min

1 question = 12/5 min

42 question = (12/5)  * 42 min

                    = 100.8 min

Answer:

100.8 minutes

Step-by-step explanation:

proportion

12 over 5 = x over 42

12*42=504

504/5

100.8 minutes

Kelly is reading a 1056-page book. During the past 8 days she has read 384 pages. At this rate, how many more days will it take her to complete the book?

Answers

Answer:

14.75 days

Step-by-step explanation:

number of pages she reads a day :

384/8 = 48

remaining of the book

1056-348= 708

708/48= 14.75 days

Which expression is equivalent to Negative 12 (3 x minus three-fourths)?

Answers

Answer:

[tex]-36x+9[/tex]

Step-by-step explanation:

In the given problem options are missing.

The given expression is

[tex]-12\left(3x-\dfrac{3}{4}\right)[/tex]

We need to find the equivalent expression.

Using distributive property we get

[tex]-12(3x)-12(-\dfrac{3}{4})[/tex]

[tex]-36x+9[/tex]

Hence, the expression [tex]-36x+9[/tex] is equivalent to given expression.

Answer:

-36x + 9

Step-by-step explanation:

To find the answer, simplify by multiplying within the parentheses. -12×3x= -36x. -12×-¾=9. The expression then becomes -36x + 9, which is the answer.

Hope this helps. I got it right on Edgen.

Bob has to pack 192 boxes. This morning, he packed 84 boxes in 3.5 hours. If Bob continues at the same rate, how long will it take him to pack the remaining boxes?

Answers

1.365

Step-by-step explanation:

Answer:

A. 4.5

Step-by-step explanation:

sorry if its wrong it was correct for me

Solve for r write the answer in simplified form

7 = - 7r

Answers

Answer:

r = -1

Step-by-step explanation:

To get r isolated, you have to divide each side by -7

7 divided by -7 is -1, therefore r = -1

Jenna is filling containers of beans. Each container holds
1
3
of a kilogram of beans. If Jenna has 8 kilograms of beans, how many containers can she fill?

A) 21
B) 23
C) 24
D) 28

Answers

Answer:

C)24

Step-by-step explanation:

Answer:

24 or c

Step-by-step explanation:

its on usatestprep

Please write step by step of how you got the answer. Thankyou

Answers

Answer:

The solution in the attached figure

Step-by-step explanation:

step 1

Place the numbers  -4, 4, 0, and -3 in the left side

Adds the numbers

[tex]-4+4+0-3=-3[/tex] ----> is correct

step 2

Place the numbers  3, -1, and -2 in the right side

Adds the numbers

[tex]-3+3-1-2=-3[/tex] ----> is correct

step 3

Place the numbers  1 and 2 in the base side

Adds the numbers

[tex]-4+1+2-2=-3[/tex] ----> is correct

The solution in the attached figure

Patrick received a $98 gift card for a coffee shop. Patrick used it to buy coffee that cost $1.64 per pound. Patrick has $81.68 left on the gift card how many pounds of coffee did Patrick by? Round to the nearest hundredth.

Answers

Answer:

9.95 pounds

Step-by-step explanation:

(98 - 81.68) ÷ 1.64

= 9.95

Estimate the square root of 51

Answers

Answer:

7.14

Step-by-step explanation:

Just use a calculator and type in the [tex]\sqrt{51}[/tex]

The estimate square root of 51, answer is 7.14

WUIZ
9. The length of a rectangle is 4 inches greater than the width. The perimeter of the
rectangle is 24 inches. What are the dimensions of the rectangle?
O
A length = 12 in.; width = 8 in.
B length = 8 in.; width = 4 in
c length = 8 in.; width – 6 in.
D length = 6 in.; width = 2 in.

Answers

Answer:

B length = 8 in.; width = 4 in

Step-by-step explanation:

Given

the length L = w + 4

Perimeter = 24 inches

Perimeter of a rectangle

= 2(L + W)

We now have two equations.

Equation 1: L = w + 4

Equation 2: P = 2(L + W)

Substitute L as w + 4 into equation 1. And 24 for p

Therefore

24 = 2(w + 4 + w)

24 = 2(2w + 4)

Distribute 2 into (2w + 4)

We have

24 = 2 x 2w + 2 x 4

24 = 4w + 8

Subtract 8 from both sides

24 - 8 = 4w + 8 - 8

16 = 4w

Divide both sides by 4

16/4 = 4w/4

4 = w

w = 4 inches

Now substitute 4 for w into either of the equations to get

L.

Using equation 1 , we have

L = w + 4

L = 4 + 4

L = 8 inches

Answer:

12 oak as best value

Step-by-step explanation:

How many minutes will it take the school bus to complete the 52-km trip back to the school at an average speed of 1.0 km/min?

Answers

If the school bus travels at an average speed of 1.0 km/min, it will take 52 minutes to complete the 52 km trip back to the school.

It is given in the question that the school bus is traveling at an average speed = 1.0 km/min

The total distance the school bus will cover on the trip back to the school  is = 52 km

According to the formula of speed,

Speed = Distance/Time

So, Time = Distance/Speed

Substituting the given values of distance and speed, we get

Time = 52 km/1.0 km/min

         = 52 minutes

Therefore, the time being taken by the school bus to complete the 52 km trip back to the school (average speed = 1.0 km/min) = 52 minutes

To know more about speed,

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Ellen Fowler stars in the new TV series Stone Simons: Kid Astronaut. The day after the first episode airs, Ellen receives a bunch of fan mail. She splits all the letters into 3 equal stacks to open with her mom and her sister. Each stack contains 21 letters.
Which equation can you use to find the number of letters n Ellen receives?

Answers

Answer:

Ellen receives a bunch of fan mail. She splits them all into 3 equal stacks to open up with her mom and sister and each stack contains 21 letters.

To find the total number of letters that Ellen has recieved we have to add up all the letters in the 3 piles.

Your equation would be 21*3=n

You would times 21 by 3 because there are 21 letters in each stack.

Where n would represent the number of letter that Ellen has recieved.

To solve for n you would simply go 21*3=63.

Ellen has revieved a total of 63 letters.

Hope this helps ;)

Answer:

7 letters

Step-by-step explanation:


The 1997 a value of an object was $5000. In 2012, it was worth $9500. The annual percent growth has been constant. What is the annual percent growth?

Answers

Annual percent growth is 4.37 %

Solution:

The increasing function is given as:

[tex]y = a(1+r)^t[/tex]

Where,

y is future value

a is initial value

r is growth rate

t is number of years

From given,

a = 5000

y = 9500

t = 1997 to 2012 = 15 years

r = ?

Substituting the values we get,

[tex]9500 = 5000(1+r)^{15}\\\\(1+r)^{15} = 1.9\\\\Take\ \frac{1}{15}th\ power\ on\ both\ sides\\\\1+r = (1.9)^{\frac{1}{15}}\\\\1+r = 1.04367\\\\r = 1.04367 - 1\\\\r = 0.04367\\\\In\ percentage,\\\\r = 0.04367 \times 100 \%\\\\r = 4.367 \% \approx 4.37 \%[/tex]

Thus annual percent growth is 4.37 %

HELP!!!! WILL MARK BRAINLEST IF CORRECT!


How is the distributive property used when finding the product of two polynomials? How are polynomials closed under multiplication?

Answers

Answer:

When you multiply the first number of each polynomial by the second. Then you add the products together and combine like terms to simplify.

Step-by-step explanation:

I don't really know how to explain this, lol.

The sum of two numbers is 11 and their product is 18. Find the numbers.

Answers

Answer: the numbers are 9 and 2

Step-by-step explanation:

Let the numbers be a and b

a + b = 11.........equation 1

ab = 18.......equation 2

Multiply equation 1 by a

a ^2 + ab = 11a.......equation 3

Substitute the value of ab from equation 2 into equation 3

a ^2 + 18 = 11a

a^2 - 11a + 18 = 0

(a-9) x (a-2) = 0

If a = 9, then b =2

I hope this helps, please mark as brainliest answer.

Bill made some purchases that totalled $18.75 and paid for them with a twenty-dollar bill. The cash register has only quarters, dimes and nickels.
In how many different ways can the cashier make change

Answers

Answer:

  42

Step-by-step explanation:

The $1.25 in change can be made ...

5 quarters (1 way)4 quarters and any of 2, 1, 0 dimes (3 ways)3 quarters and any of 5, 4, 3, 2, 1, 0 dimes (6 ways)2 quarters and any of 7--0 dimes (8 ways)1 quarter and any of 10--0 dimes (11 ways)0 quarters and any of 12--0 dimes (13 ways)

Change can be made a total of 1+3+6+8+11+13 = 42 ways.

An architect build a scale model of a sports stadium that was 12 inches. The actual height of the building was 180 feet.


Which scale did the architect use to create the scale of the sports stadium?

Answers

Answer:

Scale did the architect use to create the scale of the sports stadium is 1 inch = 15 feet.

Step-by-step explanation:

Given : An architect build a scale model of a sports stadium that was 12 inches. The actual height of the building was 180 feet.

To find : Which scale did the architect use to create the scale of the sports stadium?

Solution :

An architect build a scale model of a sports stadium that was 12 inches.

The actual height of the building was 180 feet.

The scale is determined by number of feet used in 1 inch.

i.e. For 12 inches it is 180 feet

For 1 inch = [tex]\frac{180}{12}[/tex] feet

1 inch = 15 feet

Therefore, scale did the architect use to create the scale of the sports stadium is 1 inch = 15 feet.

What is the degree measure of v?.
A) 31°
B) 34°
C) 58°
D) 74°

Answers

Answer:

B) 34°

Step-by-step explanation:

149 - 115 = 34°

Exterior angle = sum of other interior angles

Answer:

B) 34°

Step-by-step explanation:

The sum of the two  opposite interior angles is equal to the exterior angle in a triangle

v+115 = 149

Subtract 115 from each side

v+115-115 =149-115

v =34

PLLSS ANSWER QUICKLY I WILL GIVE BRAINLIEST!
Question 4(Multiple Choice Worth 5 points) (05.02 LC) Which of the following possibilities will form a triangle? Side = 15 cm, side = 7 cm, side = 7 cm Side = 15 cm, side = 7 cm, side = 9 cm Side = 14 cm, side = 6 cm, side = 7 cm Side = 14 cm, side = 6 cm, side = 8 cm

Answers

Answer:

Option C is the right answer

Step-by-step explanation:

the correct answer would be Side = 14cm, side = 6 cm, side = 7cm


Write the point-slope form of the equation of the line that passes through the point (1, 3) and has a slope of 2. Include your work in your final answer. Type your answer in the box provided to submit your solution.

Answers

Answer:

y - 3 = 2(x - 1).

Step-by-step explanation:

Point-slope form is

y - y1 =m(x - x1)

Here m (slope) = 2 , x1 =  1 and y1 = 3:

y - 3 = 2(x - 1).

Logan and Claudia want to split a bag of fun-sized candy, and decide to use the divider-chooser method. The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese's, which Logan values at $4, $1, and $2 respectively. (This means Logan values the 100 Snickers together at $4, or $0.04 for 1 Snickers)
If Claudia is the divider, and in one half puts: 35 Snickers 30 Milky Ways 55 Reese's What is the value of this half in Logan's eyes?

Answers

Answer:

$2.80

Step-by-step explanation:

35 Snickers = $1.40

30 Milky Ways = $0.30

55 Reese's = $1.10

Value of bag:

$2.80

Write a real-world
solved by first adding 24 and 36 and then dividing by 1/4. Find the solution
to your problem and explain your answer.

Answers

Answer:

Problem:  Jamie was driving for 24 miles in the first hour and 36 miles is the second hour.  But, she stopped at a gas station 1/4 of the total drive.  Find how far the gas station is from her start.

Answer:  

24 + 36 = 50

50 * 1/4 = 50/4

50/4 = 12.5

Explanation:  The gas station is 12.5 miles from her start to a 50 mile journey.  The gas station was 1/4 of the total drive which was 50 miles.  1/4 of 50 is 12.5

Help pls I dunno how to do it ): explanation would be nice

Answers

This series is divergent, because it has an infinite sequence of partial sums that is infinite (there is no end value). If you observe the series, you will see that it is equal to (the picture attached), and fits into an infinite equation, therefore, it is divergent. If you’re still confused, feel free to ask questions :)

What is the answer to -3x+2y=5
3x+y=7

Answers

Answer:

x=1

y=4

(1, 4)

Step-by-step explanation:

To solve simultaneous equation, we can use either of these three methods. Substitution method, elimination method or graphical method. But for the purpose of this question, we would be using the elimination method.

-3x+2y=5 Equation 1

3x+y=7. Equation 2

Since in the two equations, x has the same coefficient, we can eliminate x by adding both equations together

-3x+3x=0

2y+y=3y

5+7=12

We now have 3y=12

Divide both sides by 3

y=12/3

y=4

Substitute y for 4 in equation 2.

3x+4=7

3x=7-4

3x=3

Divide both sides by 3

x=3/3

x=1

x=1 and y=4

What is the slope of the line.

Answers

Step-by-step explanation:

Two points on the line are (1,4) and(-4,-4)

slope of the line =

[tex] \frac{ y2 - y1}{x2 - x1} [/tex]

[tex] \frac{ - 4 - 4}{ - 4 - 1} [/tex]

[tex] \frac{ - 8}{ - 5} [/tex]

[tex] \frac{8}{5} [/tex]

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Which conclusion MUST be true?A)No one in the class studied more than 5 hours.B)Every member of the class studied for the exam.C)At least one person in the class studied 1 hour.D)At least one person in the class studied more than 5 hours. 2. You want to form a portfolio of stock A and stock B. Stock A has a beta of .85 and stock B has a beta of 1.6. If you invest $6,000 in stock A and $4,000 in stock B, what is the portfolio beta Team up with a partner and analyze Shakespeare's The Tempest. You must work independently to create annotations defining and explaining unfamiliar words in two different scenes. Then you will trade scenes, read your partner's annotations, and write a paragraph explaining how your partner's scene reveals Shakespeare's views on colonialism or imperialism. 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Evan has $0.45 worth of pennies and nickels. He has a total of 21 pennies and nickels altogether. Determine the number of pennies and the number of nickels that Evan has. Select the correct answer.Read the paragraph, and then answer the question.I woke up to the sound of someone moaning in pain. No matter where you go, you cant escape the plague and death. There are more rats in our town than people these days. Many of my friends and family members have already become infected. Even my mother, who always carried a bouquet of carnations to ward away the miasma in the air. And our next-door neighbor, who underwent bleeding to remove the bad substances from her body that were causing the illness. Why is God punishing us, and when will it end?Which sentence illustrates an actual cause of the plague?A. There are more rats in our town than people these days.B. Even my mother, who always carried a bouquet of carnations to ward away the miasma in the air.C. 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A girl down the street dated a boy with a huge tattoo and he beat her up." If Janet knows other people with tattoos who are not dangerous but she holds these beliefs strongly and tells this particular story anyway, she may be engaging in:_______.