What are the values of a, b, and c in the quadratic equation 0 = = 1 / x² – 3x-2?
O a= 2,6 = 3, c= 2
O a=1,6=-3, c= -2
O a = b = 3, c= -2
O a=1,6=-3, c = 2
Answers
The values of a , b and c of the quadratic value equation is given by a = 1 , b = -3 and c = -2
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
A = 1/ ( x² - 3x - 2 )
On simplifying , we get
x² - 3x - 2 = 0
We can see that this is in the standard form of a quadratic equation, which is:
ax² + bx + c = 0
Comparing the coefficients of the given equation with the standard form, we get:
a = 1
b = -3
c = -2
Therefore, the values of a, b, and c in the quadratic equation x^2 - 3x - 2 = 0 are:
a = 1
b = -3
c = -2.
Hence , the quadratic equation is solved
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Related Questions
The data given represents the height of basketball players, in inches, on two different girls' teams.
Allstars
73 62 60
63 72 65
69 68 71
66 70 67
60 70 71
Champs
62 69 65
68 60 70
70 58 67
66 75 70
69 67 60
Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
The Allstars, with a mean of about 67.1 inches
The Champs, with a mean of about 66.4 inches
The Allstars, with a median of about 68 inches
The Champs, with a median of about 67 inches
Answers
Answer:
45
Step-by-step explanation:
The Allstars team has the higher mean and median compared to Champs team. Therefore, the Allstars has the tallest players.
Using Mean and Median to Decide the Tallest TeamBy using mean and median, we can know which team typically has the tallest players
For the Allstars:
Mean: The mean height of the Allstars team is obtained by summing up all the heights and dividing by the total number of players:
Mean = (73 + 62 + 60 + 63 + 72 + 65 + 69 + 68 + 71 + 66 + 70 + 67 + 60 + 70 + 71) / 15 ≈ 67.1 inches
Median: The median height of the Allstars team is the middle value when the heights are arranged in ascending order:
Arranging the heights in ascending order: 60, 60, 62, 63, 65, 66, 67, 68, 69, 70, 70, 71, 71, 72, 73
Median = 68 inches
For the Champs:
Mean: The mean height of the Champs team is obtained by summing up all the heights and dividing by the total number of players:
Mean = (62 + 69 + 65 + 68 + 60 + 70 + 70 + 58 + 67 + 66 + 75 + 70 + 69 + 67 + 60) / 15 ≈ 66.4 inches
Median: The median height of the Champs team is the middle value when the heights are arranged in ascending order:
Arranging the heights in ascending order: 58, 60, 60, 62, 65, 66, 67, 67, 68, 69, 69, 70, 70, 70, 75
Median = 67 inches
The Allstars team typically has the tallest players. The mean height of the Allstars team is about 67.1 inches, while the mean height of the Champs team is about 66.4 inches. Additionally, the median height of the Allstars team is about 68 inches, while the median height of the Champs team is about 67 inches. Both the mean and median heights of the Allstars team are higher, indicating that, on average, the Allstars team has taller players compared to the Champs team.
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4. The following table represents a proportional situation:
A. What is the constant of proportionality?
B. If D represents Days and B represents Birds Seen, what equation represents this situation?
Answers
A. 7 is the constant of proportionality, 7 birds per day
B. 7B+D=Total birds seen
7 birds per day + the number of days they've been watching the birds
Answer:
A. 7 is the constant of proportionality, 7 birds per day
B. 7B+D=Total birds seen
7 birds per day + the number of days they've been watching the birds
Step-by-step explanation:
Translate the sentence into an equation. Two less than the product of 5 and a number equals 9. Use the variable c for the unknown number.
Answers
Answer:
The equation is: \(5c-2=9\)
Step-by-step explanation:
Since 2 less than the product of 5 and a number c is equal to 9, it follows:
\(5c-2=9\)
For each table, answer: What is the constant of proportionality?
Answers
Answer:
It would be a=1 b=7, a=1 b=120, a=1 b=25, a=1 b=2.5
Step-by-step explanation:
Here you can see that 2 = 14 now if u think about it u can just divide 14 and 2 which you will get 7 which means a=1 and b=7 now for the other questions its all the same just divide
PLEASE HELP THIS IS URGENT
What is the volume of the composite figure.
A. 104ft
B. 120ft
C. 150ft
D. 160ft
Answers
Answer:
D
Step-by-step explanation:
Answer:
I'm getting 140, though
Step-by-step explanation:
120 i think
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answers
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
You have to look at both x and y and it’s power. You have to look for the lowest power for x and y. For y as you can see that the lowest power is 2. As for x it can be either power of 3 or even 2. When you removed x^2 and y^2 from the equation. The inside parenthesis will be x^2-3xy. Just remember when you divide both x^2 and y^2, you subtract the power.
When you get the answer, please check the answer if it’s the same as the original. Meaning distribution both x^2 and y^2 to inside parenthesis. And for the power, you add them. This way you can double check and see if it’s the same.
The diagonal length of the Newline board on the wall is 77 inches. The board is 67 inches long. How tall is the board? (Round to the nearest inch)
Answers
May you please help me?
12s+18
Show work.
Answers
Answer:
The attached photo shows the answer! Hope this helps!
If quadratic formula - s = -3/2
Step By Step - for factoring you find factors of 12 & 18 which both include 6 which you can take out then include the variable s into 2s since you took it from the 12 but not the 18
A grocery store recently sold a bag of peanuts for $0.76 and a bag of Pikachu's for $3.68 at the end of the day 50 bags of peanuts and Pikachu's were sold for a total of 128 point 52 how many bags of each were sold
Answers
Answer:
31 Pikachu bags were sold.
19 peanut bags were sold.
Step-by-step explanation:
Let's set up an equation of the total revenue of the day, where x is the number of Pikachu's sold.
We know that the number of Peanuts sold is 50-x (as the total needs to be 50)
We know that the total revenue is:
Number of Pikachus * Cost per Pikachus + Number of Peanuts * Cost per Peanuts
Using our definitions above:
Total Revenue = x * $3.68 + (50-x) * $0.76
We know that the revenue needs to be $128.52.
$128.52 = x * $3.68 + (50-x) * $0.76
Let's remove the $ signs.
128.52 = x * 3.68 + (50-x) * 0.76
Multiplying both 50 and -x with 0.76, "expanding" the parenthesis.
128.52 = x*3.68 + 50*0.76 - x*0.76
128.52 = x*3.68 + 38 - 0.76*x
Subtracting 38 from both sides
90.52 = 3.68*x - 0.76*x
We can simplify the right side.
90.52 = 2.92*x
We can divide both sides by 2.92:
31 = x
And flip it:
x = 31
So 31 Pikachus were sold (remember we claled that x), and as we know, the number of peanut bags sold is
50-x = 50-31 = 19
31 Pikachu bags were sold.
19 peanut bags were sold.
\( \LARGE{ \boxed{ \rm{ \pink{Solution:}}}}\)
Let the number of peanut bags be x
Then, Number of pikachu bags = 50 - x
Given,
Cost of each peanut bag = $0.76Cost of each pikachu bag = $3.68Then,
⇛ Total cost he gets from peanut bag = $0.76 × x
⇛ Total cost he gets from pikachu bag = $3.68(50 - x)
According to question,
⇛ $0.76x+ $3.68(50 - x) = $128.52
Solving this equation,
⇛ 0.76x + 184 - 3.68x = 128.52 (Removed $ symbol)
⇛ 184 - 2.92x = 128.52
⇛ 184 - 128.52 = 2.92x
⇛ 55.48 = 2.92x
Flipping the equation,
⇛ 2.92x = 55.48
⇛ x = 55.48 / 2.92
⇛ x = 19
Then,
⇛ 50 - x = 50 - 19 = 31
\( \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: peanut \: bags = 19}}}}}\)
\( \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: pikachu \: bags = 31}}}}}\)
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PLEASE HELPPP
Q: is cheese cheese or is cheese food
a. cheesy cheese is cheese but not food
b. cheese is cheese
c. cheese = food
d. all of the above
ILL GIVE BRAINLIEST
Answers
Answer:
D. I. think
????????????????????
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
cheese is a food and is edible.
you can use cheese for lots of things, like burgers sandwiches burritos etc.
The sum of three consecutive odd number is one hundred fifty-nine. what is the smallest of the three numbers?
pls show work and the check too.
Answers
n + 2 and n + 4 that their sum is 159.
n + (n + 2) + (n + 4) = 159
3n + 6 = 159
3n = 153
n = 51
And to check: 51 + 53 + 55 = 159
Which of the following values is less than −|73|?
−88
−58
58
88
Answers
The picture shows the graphs of the functions expressed by a formula of the following type: y = kx + b.
Determine the signs of k and b for each graph.
First graph: k is_____, b is _____
Second graph: k is_____, b is _____
I will award Brainiest to the first one who gets it correct! :)
Answers
Answer:
line 1: y= 1x+ 2
line 2: y= -1x-0.5
(usually 1 is omitted but I added for clarity)
Step-by-step explanation:
slope (x)= yfinal-yintial/xfinal-xinitial
b= where line intersects y axis
line 1: (-1,0), (0.5,1.5)
(1.5-0)/(0.5-(-1))
(1.5)/(1.5)
slope= 1x
y=x+ 2
line 2: (-0.5,0), (0.5,-1)
(-1-0)/(0.5-(-0.5))
(-1)/(1)
slope= -1x
y=-x-0.5
second: k is -1, b is -0.5
Find and interpret the marginal frequencies. Cell Phone Company A B Data Plan Limited 78 94 Unlimited 175 135 people have a limited data plan. people have an unlimited data plan. people use Company A. people use Company B. people were surveyed. Skip to navigation
Answers
Answer:
78
Step-by-step explanation:
78
During a sale, a store offered a 40% discount on a bed that originally sold for $620. After the sale, the discounted price of the bed was marked up by 40%. To the nearest whole number, what percent of the original price was the price after markup?
Answers
Answer: I think this is 84%
Step-by-step explanation:
math
screenshots
every question will ask to find the slope.
thank you
happy/hoppy easter-eve
Answers
Determine the value of h in the equation h minus three eighths equals two eighths.
A: one eighth
B: six eighths
C: two eighths
D: five eighths
Answers
Use the best-fit line below to predict the value of y when x = 7
Answers
Answer:
the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis
68 POINTS ANSWER ALL QUESTIONS CORRECTLY!
DUE IN 2 DAYS
Answers
Answer:
Eeee t hola como estas espero que bien asi 2
Luis is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 12 inches × 13
1
3
inches. He needs to cut another rectangle that is 10
1
2
inches by 10
1
3
inches. How many total square inches of construction paper does Luis need for his project?
Answers
Answer: 356 total square inches
Step-by-step explanation: (12*13)+(10*10)=156+100=356 square inches
please please answer this!
Answers
Answer: 600 cm2
Step-by-step explanation:
20*20=400
1/2(20*20)=200
400+200=600
600 cm2
Answer:
I think its (40)cm²
Step-by-step explanation:
The figure above is a triangle and it has (2O)cm on the right so the Left would be (2O)cm too. Then you multiply those to get your total which is (40)cm²
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
Answers
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
PLEASE HELP 65 POINTS
Answers
Answer:
1. 40π
2. 7
3. It's probably wrong because you didn't screenshot the whole chart.
HELP SOMEONE PLEASEEE!
Answers
The 4th one is the answer i did this earlier
Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.
Pls find the answer winter break is almost ending
Answers
90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you...
The answer is 8 so its a direct proportion
I think...
The constant of Proportionality is 8.
What is constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.
Given:
Total Baseball Caps= 30
Total amount of Cap= $240
let the number of caps sold be c.
Then, the equation is
30 c= 240
and, c= 240/30
c= 8
Hence, the constant of Proportionality is 8.
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Write A story that could represent This problem 2/6 x 3/4
Answers
Answer:
Bob at the store
Step-by-step explanation:
Bob is at a store and wants to buy a banana, last time he checked it costed 2/6 of a dollar. Now it costs 3/4 times more.
Pls help me please please
Answers
Answer:
So first do the exponent the divide then multiply ad then subtract
Step-by-step explanation:
By using PEMDAS we can tell if Tisha is correct
Hope this helps
you will get brainliest if u show your work :)
Answers
Answer:
*correct answer is actually A*
B. The number of seats he drives
Step-by-step explanation:
A: Incorrect, because this is a completley random instance
B: Correct, because there are patterns that can be observed. For example if there is a group of people who get on the bus on wednesday and wednesday only you'd be able to recognize that in the graph.
C. Incorrect, He is paid the same thing every day I'd assume.
D. Incorrect, it says he drives the same route everyday.
Hopefully this helped, have a great day!
brainliest?
Help me pleasse it’s really late
Answers
Answer: x = 120 feet
Step-by-step explanation:
Cross Multiply:
3 feet x 40 yards = 1 yard x (x)
120 feet = 1x
x = 120 feet
Charlie made the following table to record the height of each person in his family.
Round Charlie's height to the nearest half or whole.
Answers
Answer:
4
Step-by-step explanation:
Since the question does not specify if you are rounding up or down, just round down to four from 4 1/6. 4 1/6 is closer to 4 than it is to 4 3/6 or 4 1/2.