Answers
Answer:
[tex]x=\frac{3+\sqrt{6} }{3}, \frac{3-\sqrt{6} }{3}[/tex]
Step-by-step explanation:
Let's see
[tex]\\ \rm\rightarrowtail 3x^2-6x+1=0[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{36-12}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{24}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm 2\sqrt{3}}{6}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{3+\sqrt{3}}{6}[/tex]
Related Questions
Ms. Chapman wants to take her scout troop to Neon Nights roller rink. The employee she spoke to ahead of time said the total cost for all 9 people in the group would be $81. This includes an entrance ticket and a $3 skate rental fee for each person. Which equation can you use to find t, the cost of each entrance ticket? How much does each entrance ticket cost? $
Answers
The cost of the entrance ticket is $6.
The equation that can be used to represent the information in the question is:
Total cost = (number of students x entrance fee) + (cost to rent a skate x number of students)
$81 = 9t + ($3 x 9)
$81 =9t + $27
In order to determine the value of t, the following steps would be taken:
Combine similar terms
$81 - $27 = 9t
Subtract similar terms
54 = 9t
Divide both sides of the equation by 9
t = $6
To learn more, please check: https://brainly.com/question/13813779
The population of New York state can be modeled by: 19.71 P(t) =
1 + 61.22e-0.03513tP is the population in millions
and t is the number of years since 1800
What was the population in 2020?
P(220) = [?] million
Round your answer to the nearest thousandth.
Answers
Answer:
19.193 million
Step-by-step explanation:
Put the given value in the formula and do the arithmetic.
P(220) = 19.71/(1 +61.22e^(-0.03513·220))
P(220) = 19.71/(1 +61.22e^-7.7286) = 19.71/(1 +0.02694046)
P(220) ≈ 19.193 . . . million
19.19293355
Nearest thousandth is 19.193
What is the quotient 931/4?
Answers
Answer:
here's a photo of the calculator to that question
Terry deposits a principal amount of $500 in a savings account that earns an annual rate of a simple interest. if he makes no deposits or withdrawals, he will earn $40 in simple interest in 4 years. What is the annual rate of simple interest?
Answers
Answer
$540
Step-by-step explanation:
hopes this helps
Christine is putting money into a savings account. She starts with $550 in the savings account, and each week she adds $60.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Christine has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 19 weeks
Answers
Answer:
$1690
Step-by-step explanation:
equation: 60w+550=s
work: 60(19)+550=s
1140+550=s
1690=s
Find the solution of the differential equation that satisfies the given initial condition.
Answers
The first equation is separable:
dy/dx = x/y ⇒ y dy = x dx
(provided that y ≠ 0)
Integrating both sides yields
1/2 y² = 1/2 x² + C
Given that y(0) = -8, we find
1/2 • (-8)² = 1/2 • 0² + C ⇒ C = 32
so that the particular solution is
1/2 y² = 1/2 x² + 32
Solving for y explicitly, we have
y² = x² + 64
y = ± √(x² + 64)
but since y(0) is negative, we take the negative solution:
y = - √(x² + 64)
The second equation is also separable:
du/dt = (2t + sec²(t)) / (2u) ⇒ 2u du = (2t + sec²(t)) dt
Integrate both sides:
u² = t² + tan(t) + C
Given u(0) = -6, we have
(-6)² = 0² + tan(0) + C ⇒ C = 36
and so
u² = t² + tan(t) + 36
u = ± √(t² + tan(t) + 36)
but again we take the negative root here to agree with the initial condition, so
u = - √(t² + tan(t) + 36)
Pls help I’ll brainlest for correct answer you gotta graph it on the graph too
Answers
Answer:
Slope: -2/3
Y Intercept: 0,-3
Step-by-step explanation:
To find the slope, use the formula (y1-y2)/(x1-x2)
(1-(-1))/(-6-(-3))
-2/3
So the slope is: -2/3
If the slope is 3/2, then the using the formula of y=mx+b, we can find the y intercept (b)
y = -2/3x + b
insert any point of x and y
-1 = -2/3(-3)+b
-1=-2+b
so b = -3
thus, the Y intercept is 0,-3
See graph attached for graph
Don’t know the answer
Answers
Answer:
log a + 3 . log c - log b
Step-by-step explanation:
2nd option is the correct answer
Answer:
log a + 3 . log c - log b
Step-by-step explanation:
✌️❤️✌️
Find the volume in cubic centimeters of a cube with a side length of 5 cm
Answers
Answer:
125 cm3
Step-by-step explanation:
V = l * w * h
V = 5 * 5 * 5
V = 125 cm3
Answer:
125 cm^3
Step-by-step explanation:
To calculate the area of a cube, just do the side length to the power of 3.
5^3=125
1300 divided by 2 in hurry
Answers
Answer: 650
Step-by-step explanation:
1300 divided by 2 is 650
If you are psting your questions from an assignment i hope that its not against tos
Answer:
650
Step-by-step explanation:
this is the answer have a great day now!
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
Answers
Answer: the smallest is 2^5, 6^2, 3^4 and the largest is 5^3
3*3*3*3= 81
2*2*2*2*2= 32
5*5*5= 125
So the answer would be-
2^5,6^2,3^4,5^3
2(4x - 1) < 4(3x+1), where x ∈ {set of all negative Integers}
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
Given inequation:
[tex]\sf 2(4x-1)<4(3x+1), x\in \{Set\ of\ negative\ integers\}[/tex]
[tex]\sf\longmapsto 8x-2<12x+4[/tex]
[tex]\sf\longmapsto 8x-2-4<12x+4-4[/tex]
[tex]\sf\longmapsto 8x-6<12x[/tex]
[tex]\sf\longmapsto 8x-6-8x<12x-8x[/tex]
[tex]\sf\longmapsto -6<4x[/tex]
[tex]\sf\longmapsto 4x>-6[/tex]
[tex]\sf\longmapsto \dfrac{4x}{4}>\dfrac{-6}{4}[/tex]
[tex]\sf\longmapsto x >-1\dfrac{1}{2}[/tex]
Therefore:
[tex]\sf\longmapsto\boxed{ x=\{-1\}}\ \ Ans.[/tex]
For each right triangle below, find all unknown side lengths and angle measures:
can anyone help for number 8 and 9
Answers
Answer:
10.
here,
h=c
b=5
p=12
,we know that,
h²=b²+p²(pythagoras theorum )
c=5²+12²
c=25+144
c=169
hence the value of c is 169.
Choose correct way to write 7 cents using the dollar symbol.
$.07
$ 7 ¢
$.07 ¢
$.7
Answers
Step-by-step explanation:
$.07
$.7
The answer was first one.
An object starts from rest with a constant acceleration of 2m/s^2 along a straight line. Find the distance travelled for the interval of 10 s.
Answers
Answer:
Distance is 100 m
Step-by-step explanation:
From second equation of motion;
[tex]{ \rm{s = ut + \frac{1}{2} {at}^{2} }} \\ [/tex]
s is displacementu is initial velocity, u = 0 [ from rest ]a is acceleration, a = 2 m/s²t is time, t = 10s[tex]{ \rm{s = (0 \times 10) + ( \frac{1}{2} \times 2 \times {10}^{2}) }} \\ \\ { \rm{s = {10}^{2} }} \\ \\ { \rm{s = 100 \: {m} }}[/tex]
The distance covered is 200m
Data;
acceleration = 2m/s^2time = 10sdistance = ?Distance CoveredTo find the distance covered by the object, we have to use the formula
of velocity. But we are not given the velocity or speed of the object here.
[tex]v = s/t[/tex]
where s and t are the distance and time respectively.
But from acceleration,
[tex]a = v/t\\v = a*t\\v = 2 * 10 \\v = 20m/s[/tex]
The velocity of the object is 20m/s
let's use this to find the distance covered.
[tex]v = s/t\\20 = s/10\\s = 20*10\\s= 200m\\[/tex]
The distance covered is 200m
Learn more on acceleration, distance, velocity and time here;
https://brainly.com/question/6078363
Ax+2y=10 through the point (4,3) find the missing coeffecient
Answers
Hi,
Ax + 2y = 10
A*4 + 2*3 = 10
4a + 6 = 10
4a = 4
a = 1
( 4 ; 3 )
↓ ↓
x y
✅(•‿•)
3) Choose the graph which represents the solution to the inequality:
XS-4x + 15
A)
B)
CS
Answers
Answer: x has to be less than 5 i can’t read it but it is starting from positive 5 with the arrow going to the left
Step-by-step explanation:
What is 9 + 10 I do not know
Answers
Answer:
21, jk its 19 if you really dont know
Step-by-step explanation:
Answer:
9 + 10 = 19
just add it
hope it helps
Find the slope and the y-intercept of the line with the equation 8y - x + 7 = 0.
Answers
The slope is: 1/8
Ok done. Thank to me :>
Y= (3x-4)3
Y=(2-4x)3
Y=(3x6-2x4)4
Answers
Answer:
y=24
Step-by-step explanation:
Helppppppppppppp helppppppppppppp
Answers
Answer: 2
Step-by-step explanation:
A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of threads?
Answers
Answer:
41 1/4 turns
Step-by-step explanation:
create a proportion:
turns / inches = turns / inches
't' = turns
16.5 / 1 = t / 2.5
cross-multiply to get:
t = 41.25 or 41 1/4
discuss the criteria of a good test
Answers
I hope this is what you needed :]
If the food bill is $38.92, then what would the tip be if you want to leave a tip of 15%?
Answers
Answer:
$5.84
Step-by-step explanation:
The sum of two numbers is 20. The greater number is 4 more than three times the smaller number.
Answers
Answer:
And x=12 are the two numbers.
Step-by-step explanation:
x+y=20-----(1)
Let x be the larger number of the two.
x=2y-4
Hence 4=2y-x------(2)
Adding (1) and (2) we get 3y=24 so y=8
And x=12 are the two numbers.
If a number has 8 as a factor, then both 2 and 4 are factors
Answers
Yes, that is correct because 2 and 4 can both go into 8 making it a factor of the number you are talking about. ANSWER: That is true
Karen has 7/8 cup of ice cream. How many 1/3 cup servings can she make ?
Answers
Answer:
She can make 4 1/3 cups
Step-by-step explanation:
Answer:
2.625 should be your answer
Step-by-step explanation:
hope you have a good day!
Frederico's checking account balance is -$15, and Neela's checking account balance is -$285. How many times the balance of Frederico's checking account is Neela's checking account balance? A. -19 B. -270 C. 270 D. 19
Answers
Answer:
2
Step-by-step explanation:
the answer is 2 because I need points for my brainly so I can get a 100 on this assignment
Which expression is a factor of the function's equation? O A. X - 4 OB. 0 O C. X OD. x + 4
Answers
Answer:
im pretty sure it's A thx
Two numbers multiply to be 0 and add to be -81?
Answers
Answer:
0 and -81
Step-by-step explanation:
So, we know anything times zero is zero, and anything added or subtracted to zero would give you that number, meaning one of these numbers is zero.
Zero plus -81 will give you the same number, -81, and zero times -81 will give you zero since anything added to or subtracted to zero is that number.