f (x) = 2x^2 - 4x + 1
Answers
i don't know specifically what you are looking for but:
Direction: Opens Up
Vertex: (1, -1)
Axis of Symmetry: x = 1
and i attached the graph
Answer: x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or x = (F + 4)/4 - √(((-F - 4)^2)/16 - 1/2)
Step-by-step explanation:
Solve for x:
F x = 2 x^2 - 4 x + 1
Subtract 2 x^2 - 4 x + 1 from both sides:
-2 x^2 + F x + 4 x - 1 = 0
Collect in terms of x:
-1 + x (F + 4) - 2 x^2 = 0
Divide both sides by -2:
1/2 + 1/2 x (-F - 4) + x^2 = 0
Subtract 1/2 from both sides:
1/2 x (-F - 4) + x^2 = -1/2
Add 1/16 (-F - 4)^2 to both sides:
1/16 (-F - 4)^2 + 1/2 x (-F - 4) + x^2 = 1/16 (-F - 4)^2 - 1/2
Write the left hand side as a square:
(1/4 (-F - 4) + x)^2 = 1/16 (-F - 4)^2 - 1/2
Take the square root of both sides:
1/4 (-F - 4) + x = √(1/16 (-F - 4)^2 - 1/2) or 1/4 (-F - 4) + x = -√(1/16 (-F - 4)^2 - 1/2)
Subtract 1/4 (-F - 4) from both sides:
x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or 1/4 (-F - 4) + x = -√(1/16 (-F - 4)^2 - 1/2)
Subtract 1/4 (-F - 4) from both sides:
Answer: x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or x = (F + 4)/4 - √(((-F - 4)^2)/16 - 1/2)
Related Questions
Can someone check This answer for me and tell me if it’s 7 or 6 PLEASE ASAP THX
Answers
Answer:
im pretty sure its 6
Step-by-step explanation:
Number of 16ths when 12 13/16 is changed to an improper
fraction.
Plzzzzz help
Answers
Answer:
105/16
Step-by-step explanation:
12 * 16 = 192
192 + 13 = 205
I hope this helped, please mark Brainliest, thank you!
5 1/5 - 5/12 ÷ (1/6 × 2/3)=
Answers
Answer:
47.8
Step-by-step explanation:
What you want to do first is 5 1/5 - 5/12 which is 4.78,
then 1/6 x 2/3, which is 0.1,
then you do 4.78 divided by 0.1, which is 47.8
Solve it please I need help
Answers
2a. 1 2 4 5 20
1b. 3 39
2b. 5 7
For f (x) = x2 - 5, find f (x) when x = 0 and when x = 3
f (0) =
f (3) =
Answers
Answer:
1 minus 1 is 0
Step-by-step explanation:
1-1 equals 0
Which equation represents the statement: Three times the sum of a number and 5 is -30
Answers
Answer:
Not 100 percent but im pretty sure it is 3(n+5)=-30 i found other sites saying its that its up to you if you wanna believe me
Step-by-step explanation:
Ms. Hodge receives 20 phone calls every 60 minutes. How many calls will she expect to receive in 180 minutes?
Ms. Hodge will expect to receive _____ phone calls in 180 minutes.
Answers
Answer:
60
Step-by-step explanation:
20 calls / 60 minutes
x calls / 180 minutes
60 x 3 = 180 minutes
20 x 3 = 60 calls
Answer:
Ms hodge will expect to receive 60 phone calls in 180 minutes.
Step-by-step explanation:
180 divided by 60 is 3
3x20= 60
Ms hodge will expect to receive 60 phone calls in 180 minutes.
Jewelry store buys a gold watch to sell the price of the watch is marked up 45% the store sells the watch for $2610 how much did the jewelry store pay for the watch
I put this as the answer 1174.50 and my teacher said I got the answer wrong
Answers
Answer:
$1435.50 is your answer
Step-by-step explanation:
$2610 - 45% = 1435.50
We want to compare the quality of three Tablet products: Tablet Product A has a Mean Time Between Failures (MTBF) 10,000 hours, and a Mean Time To Repair (MTTR) or 10 hours. Product B has a MTBF of 11,000 hours and a MTTR of 11 hours. Product C has a MTBF of 12,000 hours and MTTR of 12 hours. Which tablet has better Availability
Answers
Answer:
The Availability of tablets A,B and C are equal
Step-by-step explanation:
Computation for Which tablet has better Availability
Using this formula
Availability of Tablet=MTBF/ ( MTBF + MTTR)
Where,
MTBF represent Mean Time Between Failures
MTTR represent Mean Time To Repair
Let plug in the formula
Availability of Tablet A = 10,000hrs/(10,000hrs + 10hrs)
Availability of Tablet A= 0.999
Availability of tablet B = 11,000hrs/( 11,000hrs + 11hrs )
Availability of Tablet B= 0.999
Availability of Tablet C = 12,000hrs/ ( 12,000hrs + 12hrs)
Availability of Tablet C= 0.999
Based on the above calculation the Availability of all the 3 tablets are equal
Therefore the Availability of tablets A,B and C are equal.
A customer service center receives about 10 emails every half-hour.
What is the probability that the customer service center receives exactly 5 emails in the next six minutes?
(Hint: Find the average number of emails in 6 minutes.)
Answers
Step-by-step explanation:
10 every 30 minutes means about one call every 3 minutes so in 6 minutes they should recieve 2 calls
What is so important about points?
Answers
Answer:
What do you mean ?? Say it clearly I really want to help you.
Solve for the missing variables.
x= ?
y= ?
Answers
So, the whole triangle = 180
You already have 110
180-110=70
70 divided by 2= 35
So, x and y are both 35
Have a great day!
Which expression is not equivalent to 36x−48? 12(3x−4) 9(4x−6) (6x−8)6 (12x−16)3
Answers
Answer:9(4x-6) is not equivalent to 36x-48.
Step-by-step explanation:
9 x 4x= 36x
9 x -6 = -54
Find the number of five-digit numbers less than 40 000 in which the three-digit numbers formed by a consecutive digits are all divisible by either 17 or 23. Remember, zero cannot be the first digit in a three-digit number.
Please show grade 7 math work
Answers
Answer:
Following are the code to this questiuon:
def fiv(y):#defining a method fiv that hold a parameter
x = str(y) #defining a variable x that convert the value y in string
return three(x[0:3]) and three(x[1:4]) and three(x[2:5])#use return keyword to call the method three
def three(x): #defining a method three that hold x variable as a parameter
y = int(x) #use y to convert x in integer
return y>=100 and (y%17==0 or y%23==0) #use return that gives a value which is divisiable by 17 or 23
print([y for y in range(10000,40000) if fiv(y)])#use print method to print value
Output:
Please find the attached file.
Step-by-step explanation:
In the above code, two methods "fiv and three" is declared that accepts one variable as a parameter, which can be defined as follows:
In the fiv method, an "x" variable is defined that covert the value into a string and use to call the three methods.Inside the three methods, a y variable is declared, that convert the value into integer and use return keyword, that checks value is divisible by 17 or 23. In the print method, it accepts the given value, which is passed in the loop to print the value.What is (1 +i)5?
-4-4i
-4+4i
4-4i
4+4i
Answers
Answer:
It's -4 -4i
Step-by-step explanation:
Because it is
A
-4-4i
For the person that commented. the 5 is an exponent.
I need help with this
Answers
What’s the value of the missing angle
Once again I’ll give brainliest
120,110,149, or 108
Answers
Answer:
The answer is 120
Given a quadratic function that is reflected across the
1
X-axis, vertically compressed by a factor of shifted
3
3 units to the right, and 2 units down, write the equation
of this quadratic function in vertex form.
Answers
Answer:
y=1/3 x2
Step-by-step explanation:
The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples as a bushel of large apples, how many small apples are in 1 lb of apples?
Megan purchased a bushel of apples from the Farmers Market that contained only large and small apples. There were exactly 129 apples in the bushel Megan purchased. Based on this and information from the previous problem, what is the positive difference between the number of large apples and the number of small apples in the bushel of apples Megan purchased?
Answers
(i dont know number 2)
Complete the slope-intercept form equation of the line with slope 9 that passes through the point (0,2)
Answers
Answer:
2=2
Step-by-step
Y=mx+b
2=9(0)+2
9 x 0=0
2=2
I hope I got it correct and helped you.
Last question please help me!!!!!!!
Answers
Answer:
it's D
Step-by-step explanation:
i just put it into desmos and looked for points, none of the answers appeared, therefore it's D
Suppose 56V% of politicians are lawyers. If a random sample of size 787787 is selected, what is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by greater than 4%4%
Answers
Answer: 0.0238
Step-by-step explanation:
Given : Proportion of politicians are lawyers: p= 0.56
Sample size : n= 787
Let [tex]\hat{p}[/tex] be th sample proportion.
The the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by greater than 4% will be :-
[tex]P(|\hat{p}-0.56|>0.04)=P(-0.04>\hat{p}-0.56>0.04)=\\\\ P(-0.04+0.56>\hat{p}>0.04+0.56)\\\\=P(0.52>\hat{p}>0.60)\\\\=P(\dfrac{0.52-0.56}{\sqrt{\dfrac{0.56(1-0.56)}{787}}}>\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.60-0.56}{\sqrt{\dfrac{0.56(1-0.56)}{787}}})\\\\=P(-2.26>z>2.26)\ \ \ [Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(-2.26<z<2.26)\\\\=1-(2P(Z > 2.26)-1)\ \ \ [P(-z<Z<z)=2P(Z > |z|)-1]\\\ =2-2P(Z > 2.26)\\\\=2-2(0.9881)=0.0238[/tex]
Hence, the required probability = 0.0238
What is the value of the expression All of 3.6 multiplied by 10 to the power 8 over all of 1.2 multiplied by 10 to the power 3?
Answers
3 x 10^5
16 x 0.2 please answer correct
Answers
Answer:
3.2
Step-by-step explanation:
Answer:
I believe it's 3.2!
during flu season there was. 124 students out of school on a particular day if there are 775 students in the school what percent of them have the flu ?
Answers
Answer:
16% of the Students
Step-by-step explanation:
[tex]\frac{124}{775} * \frac{x}{100} \\124 * 100 = 12400\\12400 / 775 = 16\\x = 16\\\frac{124}{775} *\frac{16}{100} \\[/tex]
Write the equation for a line that passes through (5,-4) and is perpendicular to the
linear function 2x - 10y = 0
Answers
Answer:
y = -5x -24
Step-by-step explanation:
Given parameters:
Coordinates of the line = (5, - 4)
Linear function ;
2x - 10y = 0
Solution:
The equation of the line perpendicular to this line will have a slope that is the a negative inverse of the given line;
2x - 10y = 0
Equation of a line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
We find the slope and y-intercept of the new line;
From: 2x - 10y = 0
Rewrite;
-10y = -2x
y = [tex]\frac{-2}{-10}[/tex]x
y = [tex]\frac{1}{5}[/tex]x
The slope of this line is [tex]\frac{1}{5}[/tex] , the line perpendicular will have slope of -5
For the new line;
y = mx + c
let us find c;
-4 = -5( -4) + c
-4 = 20 + c
c = -20 - 4
c = -24
The equation of the perpendicular line is;
y = -5x -24
The difference of 2 numbers is 2 and their product is 224. Find the numbers
Answers
Answer:
Step-by-step explanation:
12
Answer:
Step-by-step explanation:
The two numbers are 14 and 16 their product is 224 and their difference is 2
Simplify 2•5^2 . Please
Help
Answers
Answer:50
Step-by-step explanation:
Answer: 50
Step-by-step explanation: according to pemdas you do exponets first so 5 over 2=5*5=25 then multiply by 2=25*2=50
Solve for y.
3(y-2) = y +4-2(-5y-2)
Simplify your answer as much as possible.
Answers
Answer:
y = -7/4
Step-by-step explanation:
1. Multiple choice: Which irrational number is between 4 and 5.
b. 20
d. 180
a.
c. 734
2. Multiple choice: Which number is an integer?
a. - 11/5
b. -7
15
d. 1/2
3. Multiple choice: Which number is a whole number?
a. 5/6
b. -4
36
d.
500
4. Multiple choice: Which number is irrational?
a. 9.2727
b. 2
c. so
d. -37/71
5. Multiple choice: Any number with a finite decimal exapansion must be....
a. rational
b. irrational
6. Multiple choice: The number 3 is....
a. whole
b. rational
c. integer
d. all of the above
7. Multiple choice: All integers are ....
a. whole
b. rational numbers
c. irrational
Answers
Answer:
1. b, 20
Step-by-step explanation:
1. Irrational numbers between 4 and 5 are √17, √18,√19,√20,√21,√22,√23 ,√24.