Answer:
decimal form
x = 6.5
exact form
x = 13/2
mixed number form
x = 6 1/2
For the given quadratic equation 6x² – 2x + 1 = 0, the value of x will be 1/6+i√5/6 and 1/6-i√5/6.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation. The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic equation.
It is given that the quadratic equation is,
6x² – 2x + 1 = 0
Apply arithmetic operations in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
[tex]x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:6\cdot \:1}}{2\cdot \:6} \\\\\ \\\ x_{1,\:2}=\frac{-\left(-2\right)\pm \:2\sqrt{5}i}{2\cdot \:6} \\\\\\\ x_1=\frac{-\left(-2\right)+2\sqrt{5}i}{2\cdot \:6},\:x_2=\frac{-\left(-2\right)-2\sqrt{5}i}{2\cdot \:6}\\\ \\\\x=\frac{1}{6}+i\frac{\sqrt{5}}{6},\:x=\frac{1}{6}-i\frac{\sqrt{5}}{6}[/tex]
Thus, for the given quadratic equation 6x² – 2x + 1 = 0, the value of x will be 1/6+i√5/6 and 1/6-i√5/6.
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(11x - 1.8) - (15x + 6.6) = 11x - 1.8 - 15x + 6.6 = - 4x + 4.8
Answer:
Infinitely many solutions
True for all x values
Step-by-step explanation:
An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represents this rate?
Answer:
the fourth one
Step-by-step explanation:
every 2 hours will be a positive line segment relating to the 7 meters give you the point of 14 every 4 hours
Answer:
the fourth one..
Step-by-step explanation:
In a random sample of citizens in one town, 21 out of 200 people were left handed. Which of these is the best inference to
make?
Answer:
A about ten percent of the town is left handed
Step-by-step explanation:
20 of 200 is ten percent and this town could be an outlier in left handed populations.
PLEASE HELP!!!
I don't understand how it works...
if possible, please explain how you got your answer.
Thanks!!!
Answer:
C ($1834.44)
Step-by-step explanation:
Compound interest formula: P = T (1+ r/100)^t
Where
P is the Total amount of money at the end of the time period
T is the money invested at the start
r is the interest rate
and
t is the time by which interest is compounded
Since interest is compounded quarterly,
r is divided by 4 and T is multiplied by 4
therefore,
Total amount = $1800.00( 1 + 1.9÷4/100) ^1×4
= $1834.44
Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=12. y=-10 when x=2
can you pls tell me i am having hard time with time PLS HELP ( slope btw)
Answer: The slope is 2/6, but simplified it is 1/3
Answer:
1/3
Step-by-step explanation:
you take rise (change in Y) over run (change in Y)
What are some parent functions with a domain of all real numbers?
Answer:
The identity function has a slope of m = 1 and a y-intercept of (0, 0) .
Step-by-step explanation:
The identity function is a special type of linear function having the form f(x) = x . The domain of this function is all real numbers and the range consists of all real numbers .
( 4.04 x 10^8) + ( 7 x 10*9 )
Answer:
404000630
Step-by-step explanation:
4.04×10^8+7×10×9
4.04×100000000+7×10×9
404000000+7×10×9
404000000+70×9
404000000+630
404000630
What will I do?
Activity 1:
Mang Cardo is a hard-working old man who owns 6 hectares of land. At his age, he wanted to divide his land equally to his children. If each child will get 0.75 hectares, how many children does the man have?
Activity 2:
What is the quotient of 0.49 and 0.07?
Activity 3:
Maureen has 11.75 meters of cloth to be made into table napkins. If each napkin measures 0.25 meter, how many table napkins can she make?
Activity 4:
A restaurant owner orders table cloth of 1.75 meters long each. She only has 26.25 meters of cloth left. How many table cloths can be made from it?
solution is needed
Answer:
i ithink number 2 or 4 hehehhehe yea
What is the total number of atoms in the the compound?
A. 5
B. 6
C. 7
D. 8
Answer:
8
Step-by-step explanation:
what is the total number of atoms in the compound click here
45% of the 1,000 coffee mugs at Krysta's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house? free brainliest only if u get it right
Answer:
450
Step-by-step explanation:
.45*1000=450
-3 -6
we keep 3
we change subtraction to
opposite of 6 is
new expression is:
now recall the adding integers song and solve
difference:
Answer:
-9
Step-by-step explanation:
First rewrite the equation as:
-3 + (-6) <- (we can do that because of additive inverse)
Then just add -3 and -6 to get -9
€1=£0.72
how many € in one £
The table below is data of a baseball player's homeruns
according to the years played
Year
Homeruns
1
17
Determine what data is used to create a scatterplot.
Check all that apply.
Homeruns is the x-axis label.
Homeruns is the y-axis label.
The ordered pair (3, 15) is found on the scatterplot.
The ordered pair (17, 1) is found on the scatterplot.
The data is plotted as points so a relationship can
be visualized.
2.
30
3
15
4
36
5
41
6
27
Answer:
C is the anser on edege
Step-by-step explanation:
Answer:
2 3 5 on edge
Step-by-step explanation:
In a group of 33 students, 7 study both Art and Biology. 10 study Biology but not Art. 7 study neither subject. Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
0.064
Step-by-step explanation:
Step one;
given
Total students= 33
Both Art and Biology= 7
Biology but not Art=10
Neither subject= 7
The sample space= 33
Required
the probability of student studying Art and Biology
P(Art and Biology)= 7/33*10/33
=70/1089
=0.064
The diameter of a circle swimming pool is 15 ft find the circumference to the nearest hundredth
The circumference of the circular swimming pool is given by C = 47.12 feet
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the circumference of the circular swimming pool be C
Now , the diameter of the swimming pool D = 15 feet
So , the radius of the circular pool r = D / 2
The radius r = 7.5 feet
Now , circumference of circle = 2πr
So , on simplifying , we get
The circumference of the circular swimming pool C = 2π ( 7.5 )
The circumference of the circular swimming pool C = 15π
The circumference of the circular swimming pool C = 47.12 feet
Hence , the circumference of the circular swimming pool is 47.12 feet
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How do you divide positive and negative fractions?
Answer:
Find the reciprocal of the divisor, or second fraction.
Multiply the numerators together.
Multiply the denominators together.
Simplify the answer if possible.
Determine if the answer is positive or negative using the sign rules.
Step-by-step explanation:
Answer: first find the reciprocal of the second fraction then multiply numerators and denominators and then see if you can simplify the equation
PLEASE PLEASE HELP I WILL GIVE BRAINALIST
Answer:
Answer: -1. the slope is when you count the space from the y-intercept to the x-intercept. So 2 down and 2 right. It's negative because you go down. -2/2 simplified is -1.
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Edit: My bad if its the simplest form then the answer would be -1, sorry
Answer:
The answer is -2/2 because it goes down 2 times (-2) and right twice (2) to reach the next point
After you simplify -2/2 you get -1. Therefore your answer would be -1Hope this helped!!
what equality is shown above
Answer: If you see this line solid its > or equal too this > with line underneath
If you see line broken it's only >
Y>_ - 1/4x+2
Step-by-step explanation:
Starts at 2 on y then next pt go down 1 and 4 to the right
Yoga lessons cost $5 per lesson if Kylie enrolls in the health club for a
fee of $120 per year. Suppose Kylie joins the health club. Which equation
represents the yearly cost C of l yoga lessons?
Answer:
For one year the fee would be,
C = $120 + $5l
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
HELP ME ASAP PLEASE ?!?Give the coordinates of point A.
Answer:
D
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
Answer:
The answer is A (-5, -2)
Step-by-step explanation:
bottom left is the third quadrant and it is negative negative (-x,-y)
Help dude it’s due today in 58 minutes !!!!!
Answer:
Use math-way For more help!
a slope 2/1
b y int = 8
c y= 2x +8
Step-by-step explanation:
type in the coordinates then tap to find: slope
60 pounds what percentage of the weight limit is 33 pounds
Answer:47%
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The gross monthly salary of a permanent secretary is $6,583. Find his net annual salary after deductions of $1,475 were made monthly.
Answer:
oh my gosh they have it
Step-by-step explanation:
gLiZzY
Change
16
5
into a mixed number
(Write a space between whole numbers and fractions)
Answer:
3 1/5
Step-by-step explanation:
you divide 16 by 5 (which is 3 with one left over)
3 is your whole number and because there is one left over, that becomes your new neumerator, and the denominator always says the same
I need help with this please and thanks
Answer:
the slope of the line is 4/5
Step-by-step explanation:
hopefully this helps :)
Answer:
4/5
Step-by-step explanation:
you could do rise over run
or
subtract the y values 6 and 2 to get 4
and then subtract 6 and 1 to get 5
this is called the change in y over the change of x
PLEASEEEEEEEE HELPPPP!
Which equation illustrates the associative property?
1. x + y + z = x+y+z
2. x(y + 2) = xy + XZ
3. x+y+z= z + y + x
4. (x + y) + z = x + (y + z)
Answer:
four
Step-by-step explanation:
the associative property is when what ever is in the parentheses can be moved around and it won’t matter because I’ll give the same answer. One dosent have parenthese, two does but the x will distribute into the equation, three there is no parentheses, and four has parentheses and you can’t distribute.
If Courtney has 14 hits out of 50 at bats, how many hits must she get in her next 50 at bats to finish with a .300 average?
Answer:
14 im pretty sure
Step-by-step explanation:
.
To calculate the number of hits Courtney must get in her next 50 at-bats to achieve a .300 batting average, we'll need to consider her current stats.
The batting average is determined by dividing the total number of hits by the total number of at-bats. Currently, Courtney has 14 hits out of 50 at-bats, which gives her a batting average of [tex]14/50 = 0.28[/tex] or a 28% average. To achieve a .300 batting average, she needs her hits to make up 30% of her total at-bats.
Since Courtney will have 100 at-bats after her next 50, she'll need to have 30 hits to achieve her desired average. To calculate the number of hits needed in her next 50 at-bats, we subtract her current hits from the target hits. Therefore, Courtney needs [tex]30 hits - 14 hits = 16[/tex] hits in her next 50 at-bats to finish with a .300 average.
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Tyrik plans to rent a car for the weekend. The cost to rent the car is $45 plus $0.15 for each mile he drives. Write a function rule for the total cost of the rental. How much is the rental if he travels 500 miles?
Answer:
y=.15x+45
$120
Step-by-step explanation:
.15*500=75
75+45=120
look at the dog my uncle just found and adopted 6 months ago and look at him now.
Answer
Wow :)))
Step-by-step explanation: