Answers
Answer:
x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))
Step-by-step explanation:
Solve for x over the real numbers:
3 x^2 + 2 x - 6 = 0
Using the quadratic formula, solve for x.
x = (-2 ± sqrt(2^2 - 4×3 (-6)))/(2×3) = (-2 ± sqrt(4 + 72))/6 = (-2 ± sqrt(76))/6:
x = (-2 + sqrt(76))/6 or x = (-2 - sqrt(76))/6
Simplify radicals.
sqrt(76) = sqrt(4×19) = sqrt(2^2×19) = 2sqrt(19):
x = (2 sqrt(19) - 2)/6 or x = (-2 sqrt(19) - 2)/6
Factor the greatest common divisor (gcd) of -2, 2 sqrt(19) and 6 from -2 + 2 sqrt(19).
Factor 2 from -2 + 2 sqrt(19) giving 2 (sqrt(19) - 1):
x = 1/6(2 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6
In (2 (sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.
(2 (sqrt(19) - 1))/6 = (2 (sqrt(19) - 1))/(2×3) = (sqrt(19) - 1)/3:
x = (1/3 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6
Factor the greatest common divisor (gcd) of -2, -2 sqrt(19) and 6 from -2 - 2 sqrt(19).
Factor 2 from -2 - 2 sqrt(19) giving 2 (-sqrt(19) - 1):
x = 1/3 (sqrt(19) - 1) or x = 1/6(2 (-1 - sqrt(19)))
In (2 (-sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.
(2 (-sqrt(19) - 1))/6 = (2 (-sqrt(19) - 1))/(2×3) = (-sqrt(19) - 1)/3:
Answer: x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))
Related Questions
The study of the organization and collection of data is known as A. mathology B. mathematics C. statology D. statistics
Answers
Answer:
the answer is D
Step-by-step explanation:
Nine is 2% of what number?
Answers
Answer:
450
Step-by-step explanation:
9=1/50 times x
x=450
how many 10 Kobo stamps can I buy with 40 naira
Answers
Answer:
What is a kobo stemp
Step-by-step explanation:
Question
A pole that is 3 m tall casts a shadow that is 1 m long. At the same time, a nearby tower casts a shadow that is 44.5 m long. How tall is the tower?
Answers
Answer: 1,33.5 m
Step-by-step explanation:
We can set up a proportion to solve. I will have the length of the pole / tower on the top (numerator), and the length of the shadow on the bottom (denominator). All units will be in m.
[tex]\frac{3}{1} =\frac{x}{44.5}[/tex]
Now, I will cross multiply and solve for x. This will give us the height of the tower.
x * 1 = 3 * 44.5
x = 133.5 m
The table of values shown below represents a linear function. Which of these points could also be an ordered pair in th
table, and why?
Answers
The linear function is y = (4/3)x + 3 with a slope of (4/3) and has the point (18, 27)
What is a linear function?A linear function is in the form:
Where m is the rate of change (slope), and b is the y intercept.
From the table, b = 3 (at x = 0, y = 3)
The slope (m) = (7 - 3) / (3 - 0) = 4/3
y = (4/3)x + 3
The point (18, 27):
y = (4/3)(18) + 3 = 27
The linear function is y = (4/3)x + 3 with a slope of (4/3) and has the point (18, 27)
Find out more on linear function at: https://brainly.com/question/15602982
Help help help help math math
Answers
5
Solution:First, n*7 can be written as 7n.Then, 7*5 is equivalent to 35.So we have7n=35In order to find the value of n, we need to divide both sides by 7:n=5Hope it helps.
Do comment if you have any query.
??? • 7 = 7 • 5
this means you need an equation that equals 7 • 5 = 35 which means if you switch the numbers you could say 5 • 7
What is the smallest number which is reversed when 2 is added to its double?
Answers
Answer:
We know that to reverse a number, we should swap the numbers in TENS and ONES position. Therefore, the general form of its reverse 'ba' is (10 \times b) + a. Let us try to find the sum of both these numbers. Therefore, the sum of two-digit numbers and their reverse is always a multiple of 11.
Step-by-step explanation:
#carryonlearning
Brainlest me please
A tennis racquet bought for €95 was then sold for €132. Find the profit as a percentage of the cost
price.
Answers
Answer:
38.95%
Step-by-step explanation:
profit%= profit/cost price ×100
37/95×100
0.38×100
profit%=38.95
Is this statement true or false in the ordered pair (4,3) the y coordinate is 4
Answers
false
What is the mode of the data set? 78, 82, 91, 78, 92, 77, 80, 74, 81
A. 92
B. 78
C. 85.5
D. 77
Answer: B
Answers
Answer:
B. 78
Step-by-step explanation:
78 It is the most frequent data (2)
Hope this helps
If Madeline has one week to read 1293 pages of a book and if she wants to split her reading equally each day how many pages will she need to read each day in order to finish
Answers
Answer:
184 5/7 pages
Step-by-step explanation:
There are 7 days in a week. If Madeline wants to read equal portions of the book each day, each of those portions must be 1/7 of the book, or ...
1/7 × 1293 pages = 184 5/7 pages
Madeline will need to read 184 5/7 pages each day in order to finish.
What is the equation of the line that passes through the point (4,1) and has a slope
of 1/2
Answers
Step-by-step explanation:
the typical line equation :
y = ax + b
with "a" being the slope, and b being the y-intercept (the y value when x = 0).
so, the equation starts
y = 1/2 x + b
to get b we use the given point coordinates :
1 = 1/2 × 4 + b = 2 + b
-1 = b
and the whole equation is
y = 1/2 x - 1
please help explain how to solve this
Answers
Answer:
C
Step-by-step explanation:
When I input the x value of -2 as shown in the first box of the x&y table the only equation that gave me the correct y was C so I suggest in future problems going in and to input an x value given by the table so that way you can see if it will match up with the corresponding y value
-10 x 4 =
-21 x 5=
-20 x 9=
-199 x 1=
Answers
Answer:
•SEE ABOVE ATTACHMENT•HOPE IT HELPS!
MARK AS BRAINLIAST.
Answer:
-10 x 4 = -40
-21 x 5 = -105
-20 x 9 = -180
-199 X 1 = -199
Find the volume of the rectangular prism below. A cube that is sixteen cm in length, twenty two centimeters in width, and twelve centimeters in height.
4,224 cm3
424 cm3
42.42 cm3
42,224 cm3
Answers
Answer:
4224 cm3
Step-by-step explanation:
V= w•h•l
4224 = 22•12•16
If you bought a T-bill for $99.44 and held it for 180 days, what would be your return?
Answers
Answer:
about 1.14%
Step-by-step explanation:
Assuming you can redeem the T-bill for $100 at the end of the period, the interest rate can be found from the formula for simple interest:
I = Prt . . . . where P is the principal invested, r is the annual rate, and t is the number of years.
__
Here, we have ...
(100 -99.44) = 99.44·r·(180/365) . . . . held for a fraction of a year
0.56×365/(99.44×180) = r ≈ 0.0114195 ≈ 1.14% . . . . divide by the coefficient of r
Your return would be about 1.14%.
PLSSS HELP
State the equation of the exponential function that has the
following features. (2 marks)
• It has the x-axis as an asymptote.
• It passes through (0,—i), (—1,—3), and (—2,—9).
Answers
An exponential function that has the x-axis as an asymptote, and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
[tex]y=ab^x[/tex]
Here, x is the variable in the power of a number.
State the equation of the exponential function that has the following features.
It has the x-axis as an asymptote.It passes through (0,—1), (—1,—3), and (—2,—9). For the point (0,-1)[tex]-1=ab^{(0)}\\-1=a\times1\\a=-1[/tex]
For the point (-1,-3)
[tex]-3=ab^{(-1)}\\-3=\dfrac{a}{b}\\[/tex]
Put, the value of -1 in the above equation,
[tex]-3=\dfrac{-1}{b}\\b=\dfrac{1}{3}[/tex]
Thus, the exponential function,
[tex]y=-1(\dfrac{1}{3})^x\\y=-\left (\dfrac{1}{3}\right)^x[/tex]
Hence, an exponential function that has the x-axis as an asymptote and It passes through (0,—i), (—1,—3), and (—2,—9) is y=-(1/3)ˣ.
Learn more about the exponential function here;
https://brainly.com/question/15602982
#SPJ1
HELPPP PLS .
A cube is 10 inches tall. What is the width of the cube ?
Answers
Answer:
Width = 10 inches
Step-by-step explanation:
A cube is a six-sided shape where each side consists of a square. Since the length of a square is the same measure of the width, then the cube will "work the same way", and the length, width, and height of the cube will all be the same length.
Find the value of the expression 4d divided by c +3 when c=3 and d = 6
Answers
[tex]\text{Given that, c=3, d=6}\\\\\dfrac{4d}{c+3} = \dfrac{4(6)}{3+3} = \dfrac{4(6)}6 = 4[/tex]
11
Explanation:
4d / c+3
4 x 6 = 24
24 / 3 + 3
24/3 = 8
8+3= 11
10. You pay $45.50 for 10 gallons of gasoline and 2 quarts of oil at a gas station. Your friend pays $14.75
for 3 gallons of same gasoline and 1 quart of the same oil. Write and solve the system of equation to find
the price of 1 gallon of gas and 1 quart of oil.
I
Answers
Answer:
0=0 (true)
Step-by-step explanation:
You: 10x+2y=45.50
Friend:
5x+y=22.75
*multiply by 2
10x+2y=45.50
now you subtract both equation...
10x+2y-10x-2y=45.50-45.50
0=0
Find the maturity value of a loan of $800 after three years. The loan carries a simple interest rate of 9 1/4% per year.
1.) The maturity of the loan is $___
Answers
Answer: $9
Step-by-step explanation: The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur. The term of the loan is the time for which it has been granted.
Bus A travels according to the function y = 125/2x where y is distance traveled in miles and x is time in hours. Bus B travels according to the graph below, where the distance y is a function of time x. Which bus travels faster. we Include all necessary calculations in your final answer.
Answers
Answer:
Bus B
Step-by-step explanation:
For both buses, the slope is the speed.
Bus A: y = 125/2 x
m = 125/2 = 62.5
Bus A travels at 62.5 mph
For Bus B, wee look at the graph.
When x = 3, y = 200.
m = 200/3 = 66.666...
Bus B travels at 66.7 mph
Answer: Bus B
1. Analiza cada problema y realiza su diagrama.
a. En sus vacaciones, los 25 alumnos de cuarto grado "C", decidieron ir de viaje. A
Paracas (P) fueron 10, a Arequipa (A) viajaron 15 y a los dos lugares fueron 7.
Los demás alumnos se fueron a Chosica.
Diagramar:
w
Completar:
POA={ }
PUA = {
}
Answers
Invitamos cordialmente a leer el desarrollo del problema para mayor detalle sobre el análisis de la situación y la construcción del diagrama.
Cómo construir un diagrama a partir de un enunciado
En esta pregunta debemos elaborar un diagrama de flujo, puesto que el enunciado muestra de manera evidente una clasificación de los viajeros según las ciudades de destino.
Nótese que se trata de un diagrama bastante simple, dado que no existe evidencia de jerarquización entre las ciudades mencionadas.
Tras una lectura cuidadosa del enunciado encontramos que de 25 estudiantes de cuarto grado "C" que decidieron irse de viaje, 10 viajaron a Paracas, 15 viajaron a Arequipa, 7 viajaron a los dos lugares citados y 3 viajaron a Chosica.
A continuación, presentamos el diagrama de flujo asociado a este caso en la imagen adjunta abajo.
Para aprender más sobre diagramas, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/10092453
If 20 articles cost ₹ 90, then the cost of 9 articles is
Answers
Answer:
₹ 40.50
Step-by-step explanation:
Cost of 20 articles = ₹ 90
Cost of 1 article = ₹ 90/20
Cost of 9 article = 9 x 90/20 = ₹ 40.50
2. What is the x-intercept of the line that passes
through the point (-5,-9) and has a slope of 3?
A. (2,0)
B. (-2,0)
C. (6,0)
D. (-6,0)
Answers
Answer:
Step-by-step explanation:
hello :
an equation for the line is : y=ax+b when a is the slope
so : a= 3 y =3x+b
passes
through the point (-5,-9) x=-5 y= -9 means ; -9 =3(-5)+b so: b=6
conclusion : y=3x+6
Answer: B because y=0 3x+6 =0 3x =-6 x= -2
show complete solution
Answers
which is greater 1.59 or 1.6
Answers
Answer:
1.6 is greater than 1.59
Step-by-step explanation:
It goes. 1.5 -> 1.51 -> 1.52.... -> 1.58 -> 1.59 -> 1.6 -> 1.61...
1.60*100=160
So 1.6 is greater
6/7*(11/18-5/12) pls help: fraction form, please
Answers
Step-by-step explanation:
[tex] \frac{6}{7} \times ( \frac{11}{18} - \frac{5}{12} )[/tex]
[tex] \frac{6}{7} \times ( \frac{7}{36} )[/tex]
[tex] \frac{42}{252} [/tex]
Represent the sum of the complex numbers 2−3i and −1−i on the complex plane.
Use the Point and Segment tools to plot all required points and segments.
Answers
Answer: I took the test and this is the answer.
what is 4 1/9 + 8 2/3 as a fraction or as a whole or a mixed number?
Answers
Answer:
13 7/9
Step-by-step explanation:
You have two mixed numbers right now, so the first step to take would be to add the integers 4 and 8 since those numbers are limited by fractions (1/9 and 2/3 are limited as fractions). This would equal 13, and now you can move on to the fractions 1/9 and 2/3. In order to add those, you will have to find the LCM or the least common multiple, which in this case is 9 since 3 is a multiple of 9 (and 9 is obviously a multiple of 9). Knowing, you would have to convert the 2/3 into something ___/9, which would be 6/9. Adding those two together would result in 7/9. Combine that with the integer 13, and you have 13 7/9. Hope this helps!