The positive solution to the equation [tex]-x^{2} +2x+1=0[/tex] is [tex]x=1+\sqrt{2}[/tex].
Given quadratic equation is:
[tex]-x^{2} +2x+1=0[/tex]
What is the general form of a quadratic equation?The general form of a quadratic equation is [tex]ax^{2} +bx+c=0[/tex] and [tex]a\neq 0[/tex].
On comparing with general form of quadratic equation
a = -1
b = 2
c = 1
So, from the Shreedharacharya formula,
[tex]x = \frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]
[tex]x = \frac{-2+-\sqrt{2^{2} -4(-1)(1)} }{2*(-1)}[/tex]
[tex]x = 1-\sqrt{2} \\x=1+\sqrt{2}[/tex]
as [tex]x = 1-\sqrt{2}[/tex] is negative
So, the positive solution is [tex]x=1+\sqrt{2}[/tex]
Therefore, the positive solution to the equation [tex]-x^{2} +2x+1=0[/tex] is [tex]x=1+\sqrt{2}[/tex].
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Answer: x = 2 + √2. x = 2 - √2 ·
Step-by-step explanation:
- x² + 2x + 1 = 0. x² - 2x - 1 = 0. Here,. a = 1. b = - 2. c = - 1
A point on a graph is located at (5,8). It is rotated 90 degrees
counterclockwise. What are the new coordinates? So get a graph and plot
the points to find out where the new coordinate is....OR just use the math
version of rotation. Either way works!!!
Answer:
Your answer would be (-5,8). Hoped I could help.
Step-by-step explanation:
Answer:
The answer for your question is (-5,8), Which woul also be in Quadrant ll
1/3(1/2x-12)=1/2(2x+16)
Answer:
Rank Topic Problem Formatted Problem
1 Factor x^2‑4 x2−4x2‑4
2 Factor 4x^2+20x+16 4x2+20x+164x2+20x+16
3 Graph y=‑x^2 y=−x2y=‑x2
Step-by-step explanation:
please help (due in 8 minutes!! have a blessed day/night)
Answer:
13
Step-by-step explanation:
[tex]--› \: \: \:3x + \frac{1}{4} {y}^{2} [/tex]
Insert values
[tex]--› \: 3(3) + \frac{1}{4} {4}^{2} [/tex]
multiply 3 by 3
[tex]--› \: 9 + \frac{1}{4} {4}^{2} [/tex]
follow PEDMAS of operation
Calculate exponents 4[tex]{}^{2}[/tex]
[tex]--› \:9 + \frac{1}{4} \times 16[/tex]
divide 16 by 4
[tex]--› \: 9 + 4[/tex]
add 9 to 4
[tex]--› \: 13[/tex]
Do the ratios 4/9 and 12/20 form a proportion?
Answer:
no
Step-by-step explanation:
12/20 = 60%
4/9 = 44.44%
These are not equal.
please mark brainleyst
pls answer it pls pls pls
a. ΔECR and ΔACR have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.
b. ΔTSE and ΔNOH have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.
What are Congruent Triangles?Congruent triangles are triangles that have the corresponding sides and angles that are congruent to each other and they have the same shape and size.
a. The information given shows that ΔECR and ΔACR have:
three pairs of congruent sides - CR ≅ RC; EC ≅ AC; and ER ≅ AR.
Therefore, both triangles are congruent triangles by the SSS conrguence theorem.
b. The information given shows that ΔTSE and ΔNOH have:
three pairs of congruent sides - TE ≅ NH; SE ≅ OH; and TS ≅ NO.
Therefore, both triangles are congruent triangles by the SSS conrguence theorem.
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is f(x) = -3x + 4 and g(x) =2 solve for the value of x for which f(x) = g(x) is true
Answer:f(x)=-3+4
g(x)=2
that means:f(x) is -3 AND
g(x) is 2.
Step-by-step explanation:
By what percent will the product of two numbers change if one of them
increased by 20% and the other decreased by 20%?
Answer: The answer is 4% I hope it helps
Step-by-step explanation:
Step-by-step explanation:
4% I hope it serves you <)
What letter is located at approximately
√
22
22
?
A E
B F
C G
D H
Answer: B
Step-by-step explanation:
I think of a number double it and add eleven. i get 25
a)use the statement above form an equation use the letter x for the uknown number
b) solve the equation
Answer:
see explanation
Step-by-step explanation:
(a)
let the number be x then doubling it is 2x and adding 11 is
2x + 11
(b)
the statement is equal to 25 , then
2x + 11 = 25 ( subtract 11 from both sides )
2x = 14 ( divide both sides by 2 )
x = 7
To the nearest millimeter, a cell phone is 135 mm long and 48 mm wide. What is the ratio of the width to the length
Answer:
48:135
width:length replace width and length with the given value and thats where we get
RN means registered nurse. LP means licensed practical
nurse. What is the hourly pay for the LP? How much
more is the RN paid for a 40-hour work week than
the LPN?
Answer:
Answer: B. The law says you must write a new living will each time you re admitted to the hospital.
Explanation:
The law does not require that you make a new will whenever you are admitted to the hospital. Any existing will that has fulfilled the provisions of the law are biding unless the person decides to change the will of their own volition.
There is therefore no need to make a new will every time if there is already one in existence and the person is satisfied with it. The Registered Nurse should therefore correct this statement by the Licensed Practical Nurse.
What is the slope of the equation y = 4x - 3?
Answer:
4
Step-by-step explanation:
The slope-intercept form is mx + b = y.
According to the form, 4 = m which is also the slope.
check which of the following is a solution to the equation x-2y=4.
Answer:
solve for y y= -2+x/2
solve for x x=4+2y
Step-by-step explanation:
x-2y=4
+x =4+x
-2y = 4 + x divide both sides by -2
2 -2
y=-2 + x/2
x-2y=4
+2y=4+2y
x = 4+2y
Find the equation of the line shown
Answer:
Y = 1/2x + 1/2
Step-by-step explanation:
I'm not sure, but I think this is correct
Answer:
Slope intercept form;
y = mx + b
Where y is the independent variable and x is the dependent variable. 'm' represents the slope, and 'b' represents the y - intercept.
If we look at this graph:-
We can see that the line that intersects the y - axis is half of 1 which is 0.5, so that'll be our y-intercept.
It also rises one and goes over two so that'll be our slope.
To double check, we select two fixed points (1,1) and (3,2), we then divide the y-coordinates by the x-coordinates in the following order: (rise/run)
y2(second y-coordinate) - y1(first y-coordinate)
_____________________________________
x2(second x-coordinate) - x1(first x-coordinate)
2 - 1 1
_____ = ______, the slope is 1/2.
3 - 1 2
Now we format it in slope-intercept form:-
y = mx + b
y = 1/2x + 0.5
Where 1/2 is the slope, and 0.5 is the y-intercept
in an arithmetic sequence, the 5th term is equal to 75 and the 7th term is equal to 111 write an expression for the nth term of the sequence
Answer:
[tex]\bold{\underline{a_n=18n-15}}[/tex]
Step-by-step explanation:
[tex]a_n=a_1+d(n-1)\\\\a_5=a_1+d\cdot4\\\\a_7=a_1+d\cdot6\\\\a_7-a_5=a_1+6d-(a_1+4d)=2d\\\\111-75=2d\\\\2d=36\\\\d=18\\\\\\a_1+18\cdot4=75\\\\a_1=75-72=3\\\\\\a_n=3+18(n-1)=3+18n-18\\\\\underline{a_n=18n-15}[/tex]
Please help me ........
Answer:
How are we supposed to do this do we just write out every answer? :D
Step-by-step explanation:
For each expression, combine like terms and write an equivalent expression with fewer terms. 3x + 5x - 1
Answer:
8x-1
Step-by-step explanation:
If you combine the like terms "the ones with x" you get 8x-1.
Help asap please I’ll give brainlyest A set of equations is given below:
Equation C: y = 4x + 8
Equation D: y = 4x + 2
Which of the following best describes the solution to the given set of equations?
O No solution
One solution
OTwo solutions
O Infinitely many solutions
Answer:
No solutions.
Step-by-step explanation:
Easy way to spot is to take the 4x term to the LHS.
[tex]y-4x = 8\\y-4x = 2[/tex]
You're required to find a quantity that is at the same time equal to both 8 and 2, which is obviously impossible.
There are two ways to figure this equation out.
Answer: O No solution
Way One - Graphing
We can graph the two equations. Points of intersection represent a solution to the set.
-> See attached.
Since there are no points of intersection, the answer is "O No solution"
Way Two - Analyzing the Equations
We can see that both of these equations have a slope of 4. We then can set them both equal to the y-intercept to see if they will have solutions.
y = 4x + 8
-> y - 4x = 8
y = 4x + 2
-> y - 4x = 2
Because 8 ≠ 2, but y - 4x = y - 4x, the answer is "O No solution"
The radius of a circle is 11 feet. What is the circle's area? Use 3.14 for
Answer:
Formula for area of a circle;
A = πr^2
where pi is 3.14 in this case, and r is the radius squared
Plug in the actual values;
A = 3.14 x 11^2
A = 3.14 x 121
A = 379.94 square feet
Gabriel put $6000 in a 5-year CD paying 4% interest compounded monthly. After 2 years, he withdrew all his money, and as an early withdrawal penalty, he paid back all the interest he made during the first year. How much money was Gabriel left with?
Using compound interest, it is found that Gabriel was left with $6,255.
What is compound interest?The balance, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which the parameters are given as follows:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.In the context of this problem, the values of these parameters are as follows:
P = 6000, t = 2, r = 0.04, n = 12.
The balance after two years is:
[tex]A(2) = 6000\left(1 + \frac{0.04}{12}\right)^{24}[/tex]
A(2) = 6499.
The balance after one year is:
[tex]A(1) = 6000\left(1 + \frac{0.04}{12}\right)^{12}[/tex]
A(2) = 6244.
The interest paid on the first year was:
A(1) - P = 6244 - 6000 = 244.
Hence the amount that he was left with is:
6499 - 244 = $6,255.
More can be learned about compound interest at https://brainly.com/question/24924853
#SPJ1
Answer:
Step-by-step explanation:
6254.41
HELP ASAP PLEASE I BEG!!!!! YOU GET BRAINLIST IF YOU HELP PLEASE!!
Answer:
the answer is the second one, I believe I've given the answer to this before.
Pls help who ever gives a correct answer will get a brainlist and 100 points!!!
Answer:
a+3p
Step-by-step explanation:
l=a+4p-1p
l=a+3p
Hope this helps :)
Answer:
l = a + 3(p)
explanation:
upper length: a+ 4(p)
bottom length: p + l
As we can see both of them have equal length.Therefore,
p + l = a+ 4(p)
l = a + 4(p) - p
l = a + 3(p)
Help with Number 1 please
< A
Answer:
The angle A for the first question is equal to 43.6 degrees
Step-by-step explanation:
1st step:
[tex]\frac{sin\theta}{20} \times \frac{sin 90}{29}[/tex]
2nd step:
Take 20 to the other side.
[tex]sin \theta = \frac{20(sin90)}{29}[/tex]
3rd step:
Solve the right side and then take the inverse sin of the right side to get the value of theta and you get 43.6 degrees
[tex]\theta = 43.6[/tex]
What is the solution of log (2 t 4) = log (14 minus 3 t)? –18 –2 2 10
The solution of the [tex]\rm log(2t+4)=log(14-3t)[/tex] is 2.
It is given that the [tex]\rm log(2t+4)=log(14-3t)[/tex].
It is required to find the value of 't'.
What is Logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b=c\\\rm log_ac=b[/tex]
We have:
[tex]\rm log(2t+4)=log(14-3t)[/tex]
Taking [tex]\rm log_1_0[/tex] base and removing the log from both sides.
[tex]\rm 2t+4=14-3t\\\rm 5t=10\\\rm t=2[/tex]
Thus, the solution of the [tex]\rm log(2t+4)=log(14-3t)[/tex] is 2.
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Answer:
C or 2
Step-by-step explanation:
right on edge 2022
Which of the following expression is an algebraic expression *
23(40)
25/4
6x
12x12
Answer:
i think 6x
Step-by-step explanation:
cz we have a variable
The answer is 6x
an algebraic expression is an expression solving for a variable. in 6x the variable x is what you would be solving for.
Choose all the fractions that are equivalent to1/7. (Click all that apply.)
4/28
7/49
7/70
2/8
2/14
5/35
Answer:
2/14, 4/28, 5/35, 7/70 or just 2/14
Step-by-step explanation:
Multiply both the numerator and denominator of 1/7 by 2, to get 2/14, or 2:14
And multiply the numerator and denominator of 1/7 by 3, to get 3/21, or 3:21. So 2:14 and 3:21 are two ratios that are equal to 1:7.
A countertop is 16 feet long and 3 feet wide Tile costs $28 per square meter how much will it cost to cover the countertop with new tile
Answer:The total cost is about $124.86
Step-by-step explanation:
The area of the counter top is 16 ft by 3 ft so 16 x 3= 48. The area of the counter top is 48 ft squared.Then you have to convert it to meters squared, 48 x 0.092903 = 4.459244. Then multiply that by 28 to get your answer.4.459244 x 28 = 124.861632. The total cost is about $124.86
what is 12/8 in the simplest form
Answer:
3/2
Step-by-step explanation:
Answer: 3/2
Step-by-step explanation: 12 and 8 can be reduced by dividing them by 4, so 12/8 can be simplified to 3/2.
What is the value of 2/11 dived by 3/11
Answer:
1/6
Step-by-step explanation:
Idk i just googled it
A bag has 2 green marbles and 10 brown marbles. Half of the brown marbles are made of glass. A marble is selected at random from the bag. What is the
probability that it is a brown, glass marble?
Answer:
5/12Step-by-step explanation:
Total number of marbles:
2 + 10 = 12Number of brown marbles made of glass:
10/2 = 5Required probability:
P = 5/12