x^2 - 6x + 1 = 0 by completing the square
Answers
Answer:
See below.
Step-by-step explanation:
x^2 - 6x + 1 = 0
x^2 - 6x = -1
We halve the coefficient of x (which is -6/2 = -3) and square it, then add this to both sides:-
x^2 - 6x + (-3)^2 = -1 + (-3)^2
x^2 - 6x + 9 = -1 + 9
(x - 3)^2 = 8
x - 3 = ±√8
x = 3 ± √8
= 0.17, 5.83 to 2 decimal places.
Answer:
[tex]x = - 2 \sqrt{2} + 3 \\ or \\ x = 2 \sqrt{2 } + 3[/tex]
Related Questions
Corine bought 2 iced guava passionfruit drinks and 3 iced pineapple matcha drinks for herself and 4 friends from Starbucks. Both drinks cost the same amount. Corine gave the barista $30, who then gave her back $4.75 in change. Let x represent the price of a drink. How much did one drink cost?
Answers
25.25/5=5.05
Each drink cost $5.05
a runner ran 2/3 of 5 km race in 21 minutes how long does it take to run the entire race
Answers
Answer:
31.5 min
Step-by-step explanation:
you divide 21 in hald to get 10.5 which is 1/3 to multiply by 3 for a whole race getting 31.5
1. Solve for xº. 52°
can someone help me please
Answers
Answer:
x=38°
Step-by-step explanation:
x° and 52 make up a right angle, which is 90°, so for an equation you can do
x+52=90
subtract 52 on both sides and you get
x=38
So 52 + x = 90
x = 38
how many units of meters make a kilometer?
Answers
EXPLANATION: 1 km = 1000
The roots of the equation x² + 2x + 4 = 0 are
A) rational and equal
B) rational and unequal
C) imaginary and unequal
D) real, rational, and unequal
Answers
Answer:
Option C
Step-by-step explanation:
Given :-
A equation x² + 2x + 4 = 0 .And we need to find out the nature of the roots . The nature of the roots is determined by the Discriminant of the equation , and the Discriminant of a quadratic equation is ,
[tex]:\implies[/tex] Discriminant = b² - 4ac
[tex]:\implies[/tex] Discriminant = 2² - 4(1)(4)
[tex]:\implies[/tex] Discriminant = 4 -16
[tex]:\implies[/tex] Discriminant = (-12)
Now here the value of D is less than 0 .So the roots will be imaginary .
Hence the roots are imaginary and unequal.
Justin found that his text-messages contain 5 emoji for every 15 regular characters. How many emoji will Justin use if his text message contains 100 total characters ?
Answers
Answer:
Justin will use 300 emojis.
Step-by-step explanation:
15/5=3
So, 3 emoji for one regular character.
3*100= 300.
Answer:
33 emojis
Step-by-step explanation:
5 emojis = 15 characters
1 emoji = 15 ÷ 5 = 3 characters
100 ÷ 3 = 33.3
33.3 estimated to nearest whole number = 33
A part is being machined. The starting thickness
of the part is 6.18 inches. Three cuts are
taken. Each cut is three-tenths of an inch.how many were removed ?
Answers
Solve the inequality. Graph the solution. −8≤2/5(k−2) The solution is .
Answers
Answer:
Step-by-step explanation:
Multiply both sides by 5(k - 2)
-8*5(k - 2) ≤2 Combine -8 and 5
-40 (k - 2) ≤2 Remove the brackets
-40k + 80 ≤2 Subtract 80 from both sides
-40k ≤ -78 Here's the trick part. Pay attention. Divide by - 40
k ≥ - 78 /- 40
k ≥ 1.95
Did you see what happened? The ≤ operation turned into ≥ That always happens when dividing by a minus or multiplying by a minus or if you change the side where literal coefficient is.
Can someone help me please?
Answers
Answer:
2. 216cm3
3. 748.75
Step-by-step explanation:
Cube v=Bh
To get Base area 9cm x 4cm=36cm2
36cm2 x 6cm=216cm3
A rectangular prism has a length of 2 feet a height of 18 feet and a width of 20 feet What is its volume, in cubic feet
Answers
Answer:
720 ft³
Step-by-step explanation:
volume is length × width× height
2×20×18 = 720
Noah uses 1/2 of a cup of vinegar in his salad dressing recipe. How much vinegar would Noah use to make 3 1/6 recipes? Write your answer as a fraction or as a whole or mixed number.
(Please help me)
Answers
Answer:
1 7/12 cups
Step-by-step explanation:
1/2 x 3 1/6 = 1/2 x 19/6 = 19/12 or 1 7/12
For 1 he uses half cup
For 3 1/6 of the same recipe
He would use:-1/2*3 1/6
19/12 cup of vinegar
=1 7/12(Answer)
PLEASE HELP ILL GIVE MORE IF ITS RIGHTTTTT
Answers
find the perimeter and area of the shape based on the information provided
Answers
Answer:
If you were to attach the shape, I could help.
the difference between the exterior and the corresponding interior angle of the triangle is 81 °. determine those angles. (type all the steps for it)
Answers
Please answer this for 15 points!!! Stuck on this forever
The model shows a rectangular prism made up of cubes with an edge length of 1/2meter.
Part A
Kate finds the volume of the prism by counting the unit cubes. She counts the number of cubes in the bottom layer. She says since there are 3 layers, there are 144 unit cubes, and the volume of the prism is 144 cubic meters. Is Kate correct?
Fill in the blanks to explain your answer.
The bottom layer has _______ unit cubes. The prism is made up of a total of _______unit cubes. The volume of a single unit cube is________cubic meter, so the volume of the prism is_______cubic meters. Kate________correct.
Answers
Answer:
no
Step-by-step explanation:
no
Need help asap show your work
Answers
To find the volume we use an equation:
volume = length x width x height
Since this shape is a cube, you only need to know one side to find the volume since all of the sides are equal.
So all you need to find the volume is to multiply 4(1/2) which I am going to simplify to 4.5, is plug it into the equation.
volume = 4.5 x 4.5 x 4.5
Which will get you an answer of 91.125 inches cubed
[tex]91.125in^{3}[/tex]
Hope this helps :)
The price of a train season ticket increased by 4%.
The price of the ticket increased by £ 152.20
Work out the price of the train ticket before the increase.
Answers
The original price of the train ticket will be £3805.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
The price of a train season ticket increased by 4%.The price of the ticket increased by £152.20The original price will be calculated as:-
4 % = 152.20
1 % = 152.20 / 4
1 % = 38.05
So 100 percent will be calculated by multiplying by 100 on both sides.
100 % = 38.05 x 100
100% = 3805
Therefore the original price of the train ticket will be £3805.
To know more about percentages follow
https://brainly.com/question/24304697
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Two similar solids have a scale factor of 3:4. What is the ratio of their areas?
27:64
9:16
6:8
3:4
Answers
9:16
area =scale factor squared
Hep yep help helphelp
Answers
Answer:
pretty sure it's A
Step-by-step explanation:
cuz a common factor of 9 and 10 is 90 do the calculations and it should be simple.
A flower shop sells two types of Iris flowers: versicolor and virginica. Often, people who buy the flowers want to know about the
petal length. The summary statistics are shown in the table.
Flower Petal Length (in mm)
Versicolor Virginica
Min
45
30
Q1
51
40
44
Median
Q3
55.5
59
47
Max
69
56
If customers want to buy the flower that has the greatest variety of petal length, which Iris should they buy?
O A. versicolor, because the minimum is greater
OB. versicolor, because the maximum is greater
OC versicolor, because the difference between the minimum and Q1 is greater
O D. virginica, because the range is greater
O E virginica, because the difference between Q3 and the maximum is greater
Hi
Answers
Answer:Hey I go to ohva the answer is c
Step-by-step explanation:I took the test
The option (C) versi-colour, because the difference between the minimum and Q1 is greater, is the correct choice.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have:
A flower shop sells two types of Iris flowers: first flower and second flower.
The data is shown in the picture.
As we know, the median is the mid-value.
The min value for the first flower = 45
The min value for the second flower = 30
Q1 value for first flower = 51
Q1 value for second flower = 40
Difference between min and Q1 for first flower = 6
Difference between min and Q1 for second flower = 10
6 < 10
Thus, the option (C) versi-color, because the difference between the minimum and Q1 is greater, is the correct choice.
Learn more about the median here:
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20 is what percent
of 57?
Answers
Answer:
20 is 35.0877193% of 57
Step-by-step explanation:
Answer:
35.09
Step-by-step explanation: Hope this helps!
What is 1/2 of 8 what is 1/3 of 12
Answers
Answer:
Half of 8 is 4 and one third of 12 is 4
Step-by-step explanation:
I hope I answered your question
The graph of function f is shown. Function g is represented by the table. x -2 -1 0 1 2 g(x) -32 -16 -8 -4 -2 Which statement correctly compares the two functions on the interval [0, 2]? A. Function f is increasing, and function g is decreasing. B. Both functions are increasing, but function f is increasing faster. C. Both functions are increasing, but function g is increasing faster. D. Both functions are increasing at the same rate.
Answers
Answer:
Both functions are increasing, but function g is increasing faster
Step-by-step explanation:
Correct on a plato test. Have a great day!
Answer:
B. fashoooooooo
Step-by-step explanation:
Both functions are increasing, but function f is increasing faster.
please help me!! 8th grade math, Pythagorean Theorem 19 pts!
Answers
Answer:
do 70 divded by two and that is 35. and then 15^2 (squared) + 35^2 (squared) and then whatever that equals but the square root around it and that is your answer.
Step-by-step explanation:
(-6,4) (4,-6) simplified into radical form
Answers
Answer:
radical of 6 and radical of 2, radical of 2
Step-by-step explanation:
find the slope and y intercept form equation from the table
Answers
Answer:
y=x+5 or y=1x+5
Step-by-step explanation:
i hope this helps :)
HELP!!!! i’m really confused and it’s due today
Answers
Answer:
I think H because it is the only one going vertical
Step-by-step explanation:
1. Given the lines shown here, what are two possible equations for this system of equations?
Answers
Answer:
i just need help pasing 5th grade can you help by giving me a link so i can get answers to quistions pls
Step-by-step explanation:
f(x)=4x^2-9x-13 young quadratic formula!
Answers
Answer:
x=13/4 or -1
Step-by-step explanation:
factorize the fraction
(4x^2+4x)(-13x-13)
4x(x+1) -13(x+1)
(4x-13)(x+1)
x=13/4 or x=1
I guess
y / 4 + 8 = 22 Answer?
Answers
Answer:
y = 3.5
Step-by-step explanation:
First, you do 14/4 which = 3.5
Hope this helps!
Answer:
y/4+8=22
y/4=22-8
y/4=14/1
y=56