NEED DONE ASAP!!
Lupita completed the square to solve the equation 0 = x2 - 6x +13 as follows.
Lupita made a mistake. In which step did the error occur and what was the error? Finally
complete the problem with the mistake fixed and give the solutions to the equation.
Answers
Step 3 is incorrect
The solution to the equation is x = ±[tex]\sqrt{2}[/tex]i +3
What is a quadratic equation ?A quadratic equation is an algebraic equation which has highest degree of 2 and it has 2 roots.
In the given question
x² - 6x +13 = 0
x² - 2.x.b + 13 = 0 (-2.x.b = -6x ↔ b = 3)
(x - 3)² + 13 = 9 ( we have added 9 on r.h.s
because b² = 9 is added on l.h.s)
(x-3)² = -4
x - 3 = ±[tex]\sqrt{2}[/tex]i
x = ±[tex]\sqrt{2}[/tex]i +3
She made a mistake in the second step she should have added +9 on the right hand side because we have an additional 9 on the left hand side because of the perfect square we have made to make both sides balanced.
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Related Questions
Which number line correctly shows look at pic
Answers
Answer:
A - The first one
Step-by-step explanation:
Answer:
The first line.
Step-by-step explanation:
The line starts off at 0,
then it goes to the left of the line -3 times.
Then it goes to the left -1.5 times.
this means it goes one and a half.
so it would land on the line after -4.
50 POINTS! images below! please quick also! its a timed test.
Answers
Answer:
classification b the second one i think is d
You can bike at a rate of 7 miles in 25 minutes. At this rate, how long will it take you to go 18 miles?
Answers
Answer:
64.2857
Step-by-step explanation:
take the distance traveled divided by the distance which will give you the speed traveling multiplying the distance and the speed will give you the time ot takes
The serving size for the granola that Ted likes to eat for breakfast is 3/4 cup. How many cups will he have eaten if he ate 3 servings? Show your work
Answers
Answer:
2 1/4
Step-by-step explanation:
3/4+3/4+3/4= 9/4 = 8/4 +1/4
=2 1/4
Show how to work the division problem 47 divided by 8 please
Answers
Answer:
Step-by-step explanation:
47 divided by 8
= 5.875
hope this helps
f(x)= x^2. what is g(x)?
A. g(x) = 1/4x^2
B. g(x) =1/4x^2
C. g(x) =4x^2
D. g(x) = 1/2x^2
Answers
Answer: g(x)=x/3^2
Step-by-step explanation:
We are given that:
f(x)=x²
We have to find g(x)
Since, we are given that g(3)=1
Hence, we will proceed by the options.
1. g(x)=
at x=3 g(x)=1/9
Hence, this option is incorrect.
2. g(x)=3x²
at x=3, g(x)=27
Hence, this option is incorrect.
3. g(x)= x²/3
at x=3, g(x)=3
Hence, this option is incorrect.
4. g(x)=
at x=3, g(x)=1
Hence, this option is correct
Brian has 40 stickers. He shares 5 with his friends every day. After 5 days, how many stickers will Brian have left?
Answers
Answer: 15 stickers
Step-by-step explanation: 5*5=25 40-25=15
Explanation:
you would multiply 5x5 which would equal 25
then subtract 40-25 and that equals 15
X+1/4=-5/20
Algebra
Solve for X
Answers
Answer:
[tex]x + \frac{1}{4} = \frac{5}{20} \\ x + \frac{1}{4} = \frac{1}{4} \\ x = \frac{1}{4} - \frac{1}{4} \\ x = 0 \\ thank \: you[/tex]
At the movie theatre, child admission is $5.20 and adult admission is $8.40. On Wednesday, 154 tickets were sold for a total sales of $1069.60. How many adult tickets were sold that day?
Answers
Answer:
127
Step-by-step explanation:
1069.60 divided by 8.40 equals 127.
A coin is flipped 80
times. It lands tails 47
times. What is the Probability
Answers
1/2 or 50% because each flip of a coin is independent from the last and a fair coin has an equal probably of landing on either side.
Current Attempt in Progress
At June 1, 2022, Sheffield Corp. had an Accounts Receivable balance of $ 18,900. During the month, the company had credit sales of $
24,500 and collected Accounts Receivable of $ 28,500. What is the balance in Accounts Receivable at June 30, 2022?
Answers
If at June 1, 2022, Sheffield Corp. had an Accounts Receivable balance of $ 18,900. During the month, the company had credit sales of $
24,500 and collected Accounts Receivable of $ 28,500. The balance in Accounts Receivable at June 30, 2022 will be: $14,900
Using this formula
2022 Balance in Accounts Receivable=Accounts Receivable balance as on June 1, 2022+ Credit sales -Collected Accounts Receivable
Let plug in the formula
2022 Balance in Accounts Receivable=$18,900+$24,500-$28,500
2022 Balance in Accounts Receivable=$14,900
Inconclusion if at June 1, 2022, Sheffield Corp. had an Accounts Receivable balance of $ 18,900. During the month, the company had credit sales of $
24,500 and collected Accounts Receivable of $ 28,500. The balance in Accounts Receivable at June 30, 2022 will be: $14,900
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Answers
You multiply 6 2/3 x60
You have a bag containing 3 red, 7 green, and 6 blue pens. you choose 2 pens at random. find the probability of picking a red and blue pen with replacing.
Answers
Answer:9/16
Step-by-
its 9/16 because in total there 16 pens so the the probabillty of getting a red and blue pen is combined the amount there is and you put the total number of pens as the denominator
(8) We pour water into a pool. Suppose that w = The amount of water in the pool (in gallons) at time t(in minutes) Given the following table of values for t and w: t 0 5 10 15 20 w 100 125 130 140 155 find the average rate at which water was poured into the pool from 0 minutes to 10 minutes. Include units in your answer. Show how you get your answer.
Answers
Answer:
Step-by-step explanation:
The average rate is just the slope of the function between t = 0 and t = 10, so we must calculate change in w / change in t. w(10) = 130. w(0) = 100. So, the slope = (130-100)/(10-0) = 30/10 = 3 gallons per minute.
please help with #2 and #4
Answers
Answer:
Problem 2: k = 3
Problem 4: NO SOLUTION
Step-by-step explanation:
Problem 2 work:
-4/3(12k + 27) = -57 - 9k
-16k - 36 = -57 - 9k -ADD THE -9k TO ITSELF AND TO -16k-
-7k - 36 = -57 -ADD THE -36 TO ITSELF AND -57-
-7k = -21
k = 3
Problem 4 work:
5/2(6w - 16) = 18w -(3w + 40)
15w - 40 = 18w - 3w - 40 -ADD THE -3w TO THE 18w-
15w - 40 = 15w - 40
NO SOLUTION BECAUSE BOTH SIDES ARE THE SAME
Answer:
5;:':;;gighifighfutfdyfuhufgfyhxfkcy
state the domain and range of the function:
y = -(x+8)^2 +9
Answers
Domain: All real numbers (-infinity, infinity)
Range: [9, -infinity)
Find the mode of the following set of numbers.
{25, 23, 25, 25, 11, 25, 23, 38, 19, 25}
Answers
Answer:
25
Step-by-step explanation:
25 is the most frequent number found in the following set of numbers, so 25 would be the answer.
100 + 234 -71 - 8 + 1
Answers
Answer:
334-78
256 is the answer
Bill has $50 to spend on 2 birthday presents for his friends. If he spends $2.50 each for birthday cards, what is the range of money he can spend on each gift? Write and solve an inequality.
Answers
The inequality 2.50x + 2y ≤ 50 shows the situation that Bill has $50 to spend on 2 birthday presents for his friends.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Bill has $50 to spend on 2 birthday presents for his friends. If he spends $2.50 each on birthday cards.
Let's suppose the number of birthday cards is x and the cost of each gift is y.
Then the total cost for birthday cards = 2.50x
Total budget = $50
Total expense = 2.50x + 2y
2.50x + 2y ≤ 50
The above inequality represents the situation.
In the graph, the range of the solutions is shown.
Thus, the inequality 2.50x + 2y ≤ 50 shows the situation that Bill has $50 to spend on 2 birthday presents for his friends.
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Solve for z:
32=12+4(z-1)
Answers
Answer:
6
Step-by-step explanation:
32 = 12 + 4 ( z - 1 )
32 - 12 = 4 ( z - 1 )
20 = 4 ( z - 1 )
20 / 4 = z - 1
5 = z - 1
z - 1 = 5
z = 5 + 1
z = 6
Zygmund Oleksik is paid a salary of $800 a week to manage a party store. What amount will he make in one
year working at this job?
Answers
x = one week worked
x = $800
Then, Oleksik will earn $416,000 in 52 weeks (one year).
Evaluate the equation: 3.6/e = 1.2
Answers
hopefully this is correct..
it's either e = 1/3 or 3
Answer:
1/3 or 3^-1
Step-by-step explanation:
please mark me as brainlest
PLEASEEE!! HEPPPP!!
It takes Shonda of an hour to dry one load of laundry in her dryer. How many hours will it take her to dry 4 loads of laundry?
A. 1/5
B. 1 3/5
C. 3 1/5
D. 4/5
Answers
No of hours
[tex]\\ \sf\longmapsto 4(1)[/tex]
[tex]\\ \sf\longmapsto 4 hours[/tex]
None of the above
8. To calculate 159 - 73, a student writes the follow-
ing equations:
160 - 70 = 90 - 3 = 87 - 1 = 86
Although the student has a good idea for solving the problem, their equations are not correct. In words, describe the student's solution strategy and discuss why the strategy makes sense; then write a correct sequence of equations that correspond to
this solution strategy.
Write your equations in the following form:
159 - 73 = some expression
= some expression
=….
= 86
Answers
The question is an illustration of solving equations using estimates.
The student's strategy makes sense because he uses estimation to solve the given equation
The correct sequence of equation is as follows:
[tex]\mathbf{159 - 73}[/tex][tex]\mathbf{159 - 73 =160 - 70- 1 - 3}[/tex][tex]\mathbf{159 - 73 =90- 4}[/tex][tex]\mathbf{159 - 73 =86}[/tex]We have:
[tex]\mathbf{159 - 73}[/tex]
Add 0 to the equation
[tex]\mathbf{159 - 73 =159 + 0- 73}[/tex]
Express 0 as 1 - 1
[tex]\mathbf{159 - 73 =159 + 1 - 1- 73}[/tex]
[tex]\mathbf{159 - 73 =160 - 1- 73}[/tex]
Add another 0
[tex]\mathbf{159 - 73 =160 - 1- 73 + 0}[/tex]
Express 0 as 3 - 3
[tex]\mathbf{159 - 73 =160 - 1- 73 + 3 - 3}[/tex]
[tex]\mathbf{159 - 73 =160 - 1- 70 - 3}[/tex]
Rewrite as:
[tex]\mathbf{159 - 73 =160 - 70- 1 - 3}[/tex]
Solve
[tex]\mathbf{159 - 73 =90- 4}[/tex]
[tex]\mathbf{159 - 73 =86}[/tex]
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Given that (9,2) is on the graph of f(x), find the corresponding point for the function f(-3/4x)
Answers
Answer:
(- 12 , 2)
Step-by-step explanation:
f(x) -> f(kx) |k| = |-3/4| = |- 0.75| = 0.75
0 < 0.75 < 1 , It's a horizontal stretch, (x,y) -> (x/k , y)
(9 , 2) -> (9 / (-3/4) , 2) -> (- 12 , 2)
Solve for y: 42/10 = 21/y
Answers
Answer:
Y = 5
Step-by-step explanation:
Correct answer: y = 5
By cross multiplication, you multiply 21 × 10, which is 210. Then, you divide 210 by 42, which is 5.
what is the equation of the blue line
Answers
Answer: y+-1m -1
Step-by-step explanation:
the price of a stock was $52.63 when the stock market opened.it rose to $61.50 when the stock market closed.Find the percent of change of the stock price during the day
Answers
Answer:
3 and t pies holnden farmall travtor
Question 19 of 25
Does this graph show a function? Explain how you know.
O A. No; the graph fails the vertical line test.
OB. Yes, the graph passes the vertical line test.
O C. Yes, there are no y-values that have more than one x-value.
OD. No; there are y-values that have more than one x-value.
Answers
A graph may or may not represent a function.
The true statement is: (b) Yes, the graph passes the vertical line test.
The vertical line test is used to determine if a graph represents a function or not.
When a vertical line is drawn through the graph, the line would only intersect with the curve at a point.
This means that:
The graph represents a function.
Hence, option (b) is true
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PLEASE HELP 100 POINTS AND BRAINLEST TO WHOEVER CAN HELP ME!!!!!
Precalculus: Use Function Notation and Describe Graphs Project
Description
In this project you will use words and function notation to describe the connection between the transformation of a function’s graph and the affect on the function’s equation. Then you will explain how the Point-Slope equation for a line can be explained as a transformation of the parent function
.
Requirements
You may submit a Word document, or Powerpoint file or pdf.
Name your file: Last name first name Use Function Notation and Describe Graphs Project. (My project done in Word would be name “Parker Carla Use Function Notation and Describe Graphs Project.docx”)
Projects that are not named properly will be reset for you to resubmit your project.
Blank projects or irrelevant files will result in the project being reset and the student losing access to auto-progression.
Answer the following questions using words and the appropriate equation from the Transformation Equations Bank.
What must be done to a function’s equation so that its graph is shifted vertically upward?
What must be done to a function’s equation so that its graph is shifted horizontally to the right
What must be done to a function’s equation so that its graph is stretched vertically?
Describe what the graph of looks like.
Explain how the Point-Slope equation, is a transformation of .
Answers
Answer:
esult in the project being reset and the student losing access to auto-progression.
Answer the fol
