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.
Learn more about Quadratic equations here :
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Related Questions
Determine if the following statement is true or false.
The difference between two negative numbers is always negative.
Answers
Answer:
False
Step-by-step explanation:
Negative and Negative always equals positive
Negative and positive always equal negative
1 point
Find the slope of line from the graph.
rd
E
s
1
ar
x
N
Answers
Answer:
Option 3: Undefined
Step-by-step explanation:
The linear equation of the vertical line, x = 2 has an undefined slope. A vertical line has undefined slope because all points the line have the same x-coordinate.
Therefore, the correct answer is option 3: undefined.
Please mark my answers as the Brainliest if you find this explanation helpful :)
help me pleaseeeeeeee
Answers
Answer:
59 im pretty sure
Step-by-step explanation:
A baseball pitcher has pitched 82 2/3 Innings. What is the number of innings written as a decimal?
Answers
82.6666666666666666
The 6’s will go on forever so, in your answer you need to put a horizontal line on top of the six:
Ex. _
82.66
Any of these answers are correct, you can choose which to use. The safest answer would be the last one that has the line on top.
Pls mark brainliest :)
Express the number in terms of i
Answers
Step-by-Step-Explanation
Hope this helps
Answer:
[tex]\sqrt[]{9} i[/tex]
Step-by-step explanation:
[tex]\sqrt[]{ab}=\sqrt[]{a} *\sqrt[]{b} \\Therefore, \sqrt[]{-9} =\sqrt[]{9}*\sqrt[]{-1} \\\\\sqrt[]{-1}=i\\\\So, \sqrt[]{-9}= \sqrt[]{9}i[/tex]
Find the missing length
Answers
Step-by-step explanation:
with the height in a right triangle, we get 3 right triangles (the original one, and the 2 on both sides of the height). all 3 of these triangles are similar to each other.
that means (among other things) the ratios of 2 sides of one triangle must be the same ratio of the corresponding sides in the other triangle.
x/64 = 36/x
x² = 36×64
x = sqrt (36×64) = 6×8 = 48
long story short, x is the geometric mean value of the segments of the Hypotenuse.
geometric mean value means the nth root of the product of n numbers.
in our case - square root out of 2 numbers (the segment lengths).
What is the slope of the line?
Ay
4
m =
2
-
-
x
-4
-2
2.
4
-2
-4
Answers
Answer:
1/4
Step-by-step explanation:
1. To find the slope, you can use the formula [tex]\frac{rise}{run}[/tex] to find it!
2. Rise means how many units you go up and down from point to point, and run means how far you go left or right from point to point.
3. Given the statement above, the rise would be 1, and the run would be 4.
4. Now, since slope is (rise)/(run), the slope is 1/4 because one divided by four is equal to one fourth.
HELP Not sure how to do this. Harry starts 10 miles away from home. For each minute his distance decreases by two miles. Write and graph an equation to represent this scenario.
Answers
Answer:
yes
Step-by-step explanation:
j divisional yapa Irapuato perforan otero POW ad teo o ñ usado rap xiii foro
The equation to represent this scenario is d(t) = -2t + 10.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, Harry starts 10 miles away from home.
For each minute his distance decreases by two miles.
Assuming no. of minutes to be 't' and distance to be d(t).
∴ d(t) = -2t + 10.
The graph of this is attached.
learn more about graphs here :
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In 8 hours, Keiko reads 24 chapters of a book.
What is her rate in chapters per hour?
Answers
Answer:
3 chapters per hour
Step-by-step explanation:
24/8 = 3 chapters per hour
Nakisa spent $328 on a total of 22 CDs and DVDs. If CDs cost $12 each and DVDs cost $16 each, how many CDs did Nakisa buy?
Answers
Answer:
she bought 14 i belieive.
(-14)x=+56??????????????????????
Answers
Help me please help me help please help
Answers
Step-by-step explanation:
From what I see, and this Is all I'm going to help you with, you would divide each number of x by -4. If you divided 12 by -3 you would get the answer of -4. I dont really have much context of what you're doing so this is all I can help with.
What's the difference between -40ft and 3000ft
Answers
Answer:
2960 ft.........is the difference between -40ft and 3000ft
Genevieve spent $56.25 to fill her 15-gallon tank. How much did she pay per gallon?
A. $3.25
B. $3.50
C. $3.75
D. $4.00
Answers
what adds up to positive 14 but multiplies to negative 147
Answers
Answer:
-7 x 21
this adds up to 14 and multiplies -147
Find the Mean, Median, Mode & Range. If possible, round to the nearest tenth. 3, 8, 7, 2, 4, 8, 3, 4
Answers
Answer:
Mean- 4.9
Median- 4
Mode- 3,4,8
Range- 6
Step-by-step explanation:
The mean of a sequence is the average amount. This is equal to all of the terms' sum divided by the number of terms. So, to find the mean add 2+3+3+4+4+7+8+8, which equals 39. Then, divide by 8 because that is the number of terms. Therefore, the mean is 4.9.
The median is the number in the middle of the sequence. To find the median order the sequence from least to greatest and find the middlemost number. In this case, that is 4.
The mode is the number that appears most often. In this sequence, 3, 4, and 8 all appear twice.
The range is the difference between the minimum and maximum. So, subtract 2 from 8 to get 6.
Which of the following is true?
A. |−8| < 6
B. |−6| < |−8|
C. |8| < |−6|
D. |−6| < −8
Answers
Answer:
B. |-6| < |-8|
Step-by-step explanation:
I used a calculator, pls let me know if im incorrect
giving all my points
k can someone pls answer this cus I need the answer PER student
For a field trip, a bus company charges a flat fee plus an additional fee per student. For 25 students, the total cost is $132.50. If there are 30 students, the total cost is $145.00. After the flat fee, what is the cost per student?
$4.75
$5.30
$2.50
$3.00
Answers
Then you divide by 5 because that’s the difference between students then the final answer is 2.50
no need to answer correctly just say 2 Points :)
1+1=
:Have a good:
:day:
Answers
Answer:
1+1=2
have a nice day...
Answer:
2 Is the answer
Step-by-step explanation:
TJANK YOU you too!!
50 POINTS! images below! please quick also! its a timed test.
Answers
Answer:
classification b the second one i think is d
3√−50
Enter your answer, in simplest radical form
Answers
Undefined
Step-by-step explanation:[tex] \sf 3 \sqrt{ - 50} [/tex]
= The square root of negative numbers does not exist in the set of Real Numbers.
= Undefined
Conclusion:The square root of negative numbers does not exist in the set of Real Numbers then Undefined.
Answer:
15√2
Step-by-step explanation:
What is -4.5 as a mixed number
Answers
answer: -4 1/2
explanation:
It takes an elevator 2 seconds to go from floor to floor. Each passenger
takes 1.5 to 2.0 seconds to board or exit. Twelve passengers board on the
first floor and exit on the fourth floor. How long will you wait if you are on
the seventh floor and ring for the elevator just as it leaves the first floor?
Answers
Answer:
38 seconds
Step-by-step explanation:
just take 2x7 for the elevator taking the time to reach your floor which is 14 seconds. then just add on the additional time that all the passengers take to get off the elevator as it's only counting the time since it starts moving. that is 12x2=24. now just add 24+14 and you get your answer of 38
Find sine, where is the angle shown.
Give an exact value, not a decimal approximation.
Answers
Answer:
[tex] \sin( \theta) = \frac{opp}{hyp} \\ {c}^{2} = {a}^{2} + {b}^{2} \\ {c}^{2} = {8}^{2} + {15}^{2} \\ = 64 + 225 = 289 \\ c = \sqrt{289} \\ c = 17 \\ \sin( \theta) = \frac{15}{17} = 0.882 \\ \theta = { \sin}^{ - 1} (0.882) \\ \theta = 66.88 \degree\approx 67\degree[/tex]
pleasee help meeee im awful at math
Answers
Answer:
$1200 each month
Step-by-step explanation:
So Craig pays $720 each year, so he pays 720/12 = $60 each month
Since $60 is 1/20 of his monthly income, we multiply 60 by 20
60* 20 = 1200
Craig earns $1200 each month
-Chetan K
of
recipe. Which shows the correct amount of flour you need in the most reduced
form?
HE
Answers
Answer:
You would need 1/5 cups of flour.
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y = -3x +7
Step-by-step explanation:
how is this college level ?
The marksobtained by a group of students in science test are 90, 49, 87, 74,80, 85, 49
Find the
a) Median
b) Mode
c) Range
Answers
Answer:
1. Median refers to the central value of a collection of data
Therefore it is 73.4
2. Mode refers to the frequency of a value in a collection of data
It will be 49 as it is repeated 2 times
3. Range refers to The greatest number subtracted from the smallest number
Which will be 90-49=41
Hope this helps dude!
Please mark me as brainliest
A fish is 5 feet below the surface of a lake. If its position can be recorded as −5 feet, what would the position of 0 represent?
a the distance above the surface of the lake
b the distance below the surface of the lake
c the surface of the lake d the height of the fish
Answers
Answer: C
Step-by-step explanation: The surface of the lake.
A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.
Answers
According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.
Step-by-step explanation:-Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.
✍️ By Benjemin