factorizar por el motodo de aspas
\(12x^2 = 3x + 2\)
Answers
Answer:
Step-by-step explanation:
12x²-3x=2
\(x^2-\frac{1}{4}x=\frac{1}{6}\\x^2-\frac{1}{4}x+\frac{1}{64}=\frac{1}{6}+\frac{1}{64}\\(x-\frac{1}{8})^2=\frac{ 32+3 }{192}=\frac{35}{192}\\\\(x-\frac{1}{8} )^2-(\sqrt{\frac{35}{192} } )^2=0\\(x-\frac{1}{8} +\sqrt{\frac{35}{192} } )(x-\frac{1}{8} -\sqrt{\frac{35}{192} } )=0\)
Related Questions
NEED HELP QUICKLY!
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Identify X.
−3.7 = −5.4x − 5.5
Enter your answer as a fraction in simplest form in the box.
Answers
Answer: -1/3
Step-by-step explanation:
Because 0.3333 is a decimal and -1/3 is a fraction.
The value of x of the given equation −3.7 = −5.4x − 5.5 will be -0.33.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given equation,
−3.7 = −5.4x − 5.5
5.4x = -5.5 + 3.7
x = -0.33
Hence "The value of x of the given equation −3.7 = −5.4x − 5.5 will be -0.33".
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Five cards are dealt from a standard deck. What is the probability that at least four of them are hearts?
Answers
Step-by-step explanation:
To calculate the probability of getting at least four hearts when dealing five cards from a standard deck, we can use the concept of combinations and probability.
There are a total of 52 cards in a standard deck, and 13 of them are hearts (assuming no jokers). So the probability of drawing a heart on the first card is 13/52, or 1/4.
Now, there are two possible scenarios that would result in at least four hearts:
Four hearts and one non-heart: This can happen in C(13,4) * C(39,1) ways, where C(n, k) is the number of combinations of n items taken k at a time. The first part C(13,4) represents choosing 4 hearts out of 13, and the second part C(39,1) represents choosing 1 non-heart out of the remaining 39 cards. The total number of ways to choose 5 cards from 52 is C(52,5).
Five hearts: This can happen in C(13,5) ways, where C(13,5) represents choosing all 5 hearts out of 13.
So, the total number of favorable outcomes is C(13,4) * C(39,1) + C(13,5), and the total number of possible outcomes is C(52,5). Therefore, the probability of getting at least four hearts is:
P(at least 4 hearts) = (C(13,4) * C(39,1) + C(13,5)) / C(52,5)
Plugging in the values and simplifying, we get:
P(at least 4 hearts) = (C(13,4) * C(39,1) + C(13,5)) / C(52,5)
= (715 * 39 + 1287) / 2,598,960
= 27,885 / 2,598,960
≈ 0.0107566
So, the probability of getting at least four hearts when dealing five cards from a standard deck is approximately 0.0107566 or about 1.08%.
For each of the following determine a unit rate using the information given. Show the division that leads to your answer. Use appropriate units. All rates will be whole numbers. At a theatre, Mia paid $35 for five tickets
Answers
Answer:
Step-by-step explanation:
cool
Is the graph proportional or nonproportional number of chores and age
Answers
Answer:
where is the graph??
Step-by-step explanation:
Simplify the expression: 8y + 4 - 3y + 12
Answers
Find the critical value t Subscript c for the confidence level c=0.98 and sample size n=25.
Answers
The critical value t Subscript c is 2.492.
We have,
To find the critical value t Subscript c, we need to use a t-distribution table or calculator.
The critical value will depend on the confidence level and the degrees of freedom, which is n - 1 for a sample size of n.
For a confidence level of c = 0.98 and a sample size of n = 25.
The degrees of freedom df.
= n - 1
= 25 - 1
= 24
Using a t-distribution table or calculator, we can find the critical value t Subscript c that corresponds to a 98% confidence level and 24 degrees of freedom.
Thus,
The critical value t Subscript c is 2.492.
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Write a recursive sequence that represents the sequence defined by the following explicit formula:
Answers
The recursive sequence that represents the sequence defined by the following explicit formula is given as follows:
\(a_1 = -32\)\(a_{n + 1} = -\frac{1}{4}a_n\)What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term.
The first term and the common ratio for this problem is given as follows:
\(a_1 = -32, q = -\frac{1}{4}\)
The common ratio means that each term is the previous term multiplied by -1/4, hence the recursive formula is given as follows:
\(a_{n + 1} = -\frac{1}{4}a_n\)
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Find an expression for the nth term of the arithmetic sequence.
2, 8, 14, 20, 26, . . .
Answers
Answer:
44
Step-by-step explanation:
Math boi
. Among all of the pairs of numbers whose sum is 14, find the pair with largest product. What is the product
Answers
Answer:
13+1
7+7
Step-by-step explanation:
Determine a series of transformations that would map Figure P onto Figure Q.
Answers
Answer: Rotate 280 degrees
Step-by-step explanation:
Each 90 degree rotation makes the figure go into the next quadrant of the graph. So, going clockwise, you have to move the figure three quadrants to get Figure P to the position of Figure Q. Thus, 3 x 90 = 280 degrees. There is only one transformation required.
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
7m
6 m
2 m
Answers
Hope this helps you
uno de los catetos del triangulo rectángulo mide 77cm y la hipotenusa excede al otro cateto en 49 cm.
CALCULA LA HIPOTENUSA
Answers
La hipotenusa mide 137 cm.
Podemos utilizar el teorema de Pitágoras para resolver este problema, que establece que en un triángulo rectángulo, el cuadrado de la hipotenusa es igual a la suma de los cuadrados de los catetos.
Sea "a" la medida del otro cateto, entonces:
a² + 77² = (a+49)²
Desarrollando los cuadrados y simplificando, tenemos:
a² + 5929 = a²+ 98a + 2401
Restando a ambos lados a², obtenemos:
5929 = 98a + 2401
Restando 2401 a ambos lados, obtenemos:
3528 = 98a
Dividiendo por 98, obtenemos:
a = 36
Por lo tanto, el otro cateto mide 36 cm, y la hipotenusa se puede calcular utilizando el teorema de Pitágoras:
h² = a² + b²
h2 = 36² + 77²
h² = 12996 + 5929
h² = 18925
Tomando la raíz cuadrada en ambos lados, obtenemos:
h = 137
Por lo tanto, la hipotenusa mide 137 cm.
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10. Write the equation of the line in slope-intercept form that has the following points: (5,2) (0, -5)
y = 7/5X - 5
y = 7/5x + 3
y = -3/5x + 9
Answers
Answer:
y = 7/5x - 5
Step-by-step explanation:
Step 1: Find slope
m = (-5 - 2)/(0 - 5)
m = 7/5
Step 2: Find y-int
(0, -5)
Step 3: Write out equation
y = 7/5x - 5
я
Which expression is equivalent to 15 - 5x? Select all that apply.
A5(x-3)
B. 3(5 - x)
C-5(3 - x)
D. -3(-5 + 2x) + X
E. 5(3-X)
Answers
Answer:
D and E
Step-by-step explanation:
A) 5x - 15
B) 15 - 3x
C) -15 + 5x
D) 15 - 6x + x → 15 - 5x
E) 15 - 5x
What type of sequence is this? (2, 4, 8, 16, 32)
Answers
Answer: A factor of 2 between each number
Step-by-step explanation: 2 (*2), 4 (*2), 8, and so on...
Answer:
Geometric sequence
Step-by-step explanation:
In a geometric sequence you must multiply by a common ratio to get from one term to the next.
To get from 2 to 4, multiply by 2.
To get from 4 to 8, multiply by 2, and so on.
This means that the common ratio is 2
Anne owns an art supply store. Anne is analyzing the store's expenses and income because she wants to increase the store's profits. The expenses include renting 1,250 square feet of space for $13,750 per month. The store has only one employee, who is paid $8.00 per hour plus 8% commission. Much of the
store's income comes from the sales of blank painting canvases and frames. The table shows the prices of the canvases and frames sold at the store.
Answers
$590
Correct me if I’m wrong
The population of a town has been growing, following the equation p= 200t+4500
, where t is years after 2010. The number of restaurants in the town has been growing according to the equation R=6t+35
.
Complete an equation for the number of restaurants per capita (per person)
Restaurants per capita:
How many restaurants per capita does this model predict for the year 2016?
Answers
The model predicts that there are approximately 0.012456 (71/5700) restaurants per capita in the year 2016
To determine the number of restaurants per capita, we need to divide the number of restaurants (R) by the population (p). Given that R = 6t + 35 and p = 200t + 4500, we can substitute these values into the equation for restaurants per capita.
Restaurants per capita = R / p
Substituting the given equations, we get:
Restaurants per capita = \((6t + 35) / (200t + 4500)\)
To find the number of restaurants per capita for the year 2016, we need to calculate the value of t for that year. Since t represents years after 2010, in 2016, t would be 6 (2016 - 2010 = 6).
Restaurants per capita (2016) = \((6 * 6 + 35) / (200 * 6 + 4500)\)
= \((36 + 35) / (1200 + 4500)\)
= 71 / 5700
This means that, on average, there is roughly one restaurant for every 80 people in the town. Please note that this prediction is based on the given growth equations and assumes a linear relationship between population and the number of restaurants.
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Easy math, but not sure what I did wrong.
Alex took 31 exams during 5 years studying at the MaPhAs University. Each year, he took more exams than the previous year. During his 5th year, he took three times as many exams as in the 1st year. How many exams did Alex take during his 4th year at the university?
Answers
Answer:
8
Step-by-step explanation:
In his 5th year, he took 3 times as many exams as the first year. So the number of exams taken in the 5th year must be a multiple of 3.
If a₁ = 1, then a₅ = 3. However, this isn't possible because we need 4 integers between them, and a sum of 31.
If a₁ = 2, then a₅ = 6. Same problem as before.
If a₁ = 3, then a₅ = 9. This is a possible solution.
If a₁ = 4, then a₅ = 12. If we assume a₂ = 5, a₃ = 6, and a₄ = 7, then the sum is 34, so this is not a possible solution.
Therefore, Alex took 3 exams in his first year and 9 exams in his fifth year. So he took 19 exams total in his second, third, and fourth years.
3 < a₂ < a₃ < a₄ < 9
If a₂ = 4, then a₃ = 7 and a₄ = 8.
If a₂ = 5, then a₃ = 6 and a₄ = 8.
If a₂ = 6, then there's no solution.
So Alex must have taken 8 exams in his fourth year.
Here is a picture of some sea animals. The number line on the left shows the vertical position of each animal above or below sea level, in meters.
1. How far above or below sea level is each animal? Measure to their eye level.
2. A mobula ray is 3 meters above the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
3. An albatross is 5 meters above the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
4. A clownfish is 2 meters below the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
5. The vertical distance of a new dolphin from the dolphin in the picture is 3 meters. What is its distance from the surface of the ocean?
Answers
Answer:
How far above or below sea level is each animal? Measure to their eye level.The jumping dolphin is approx. 6 meters under sea level
The flying seagull is approx. 8 meters under sea level
The mobula ray is approx. 2 meters under sea level
The clownfish is approx.t 4 meters under sea level
The octopus is approx. 8 meters under sea level
A mobula ray is 3 meters above the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.
The flying seagull: The mobula ray is 11 meters lower than the flying seagull.
The octopus: The mobula ray is 11 meters higher than the octopus.
An albatross is 5 meters above the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.
The flying seagull: The albatross is 3 meters lower than the flying seagull.
The octopus: The albatross is 13 meters higher than the octopus.
A clownfish is 2 meters below the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.
The flying seagull: The clownfish is 10 meters lower than the flying seagull.
The octopus: The clownfish is 6 meters higher than the octopus.
The vertical distance of a new dolphin from the dolphin in the picture is 3 meters. What is its distance from the surface of the ocean?If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.
If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.
✧☆*: .｡. Hope this helps, happy learning! (✧×✧) .｡.:*☆✧
Solve the equation by first subtracting 2/3 from each side
3x + 2/3 =7 5/6
Answers
The solution to the equation is x = 2 7/18
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
3x + 2/3 =7 5/6
Solve the equation by first subtracting 2/3 from each side
So, we have
3x = 7 1/6
Divide both sides of the equation by 3
This gives
x = 2 7/18
Hence, the solution is 2 7/18
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How many quarts is 16000 gallons
Answers
64000quarts is 16000gallons
Answer:
64,000 quarts are in 16,000 gallons
Step-by-step explanation:
Formula - Divide the volume by 4
Hope this helps (:
state amplitude, phase shift, vertical shift, max and min value, period.
Answers
Amplitude: 1
Phase Shift: 60 degrees to the right
Vertical shift: 2 units up
Maximum value: 3
Minimum value: 1
Period: 4pi
When an object is weighed on a scale, the number displayed may vary from the object’s actual weight by at most 0.4 pounds. The scale says the object weighs 125.8 pounds. Part A: Write an absolute value inequality that describes the range of the actual weight of the object. Use the variable w to represent the actual weight of the object. Part B: Solve the absolute value inequality for w. Express your answer as a compound inequality.
Answers
The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.
Part A: The absolute value inequality that describes the range of the actual weight of the object is:
|w - 125.8| ≤ 0.4
Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:
w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4
Solving the first inequality:
w - 125.8 ≤ 0.4
Add 125.8 to both sides:
w ≤ 126.2
Solving the second inequality:
-(w - 125.8) ≤ 0.4
Multiply by -1 and distribute the negative sign:
-w + 125.8 ≤ 0.4
Subtract 125.8 from both sides:
-w ≤ -125.4
Divide by -1 (note that the inequality direction flips):
w ≥ 125.4
Combining the solutions, we have:
125.4 ≤ w ≤ 126.2
The object is 125.4 ≤ w ≤ 126.2.
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Alvin owns a farm with 3 cows, 20 chickens, and 12 ducks while Tom owns a farm with 2 cows, 2 goats, and 12 ducks. Alvin's total income in a week is RM700 and Tom earns RM900 a day. Then Alvin's wife had an affair with Tom's wife and Alvin beat the outta Tom in a bar that is 3km away from their farms. How much is the average cost to pay for Alvin and Tom's settlement and what is X?
Answers
Alvin owns a farm with 3 cows, 20 chickens, and 12 ducks. The number of people to find the average cost to pay for their settlements is RM3500.
What is average cost?Generally, To find the average cost to pay for Alvin and Tom's settlement, you will need to add together the total income for both Alvin and Tom and then divide that number by the number of people (in this case, two).
First, let's calculate Tom's weekly income. If Tom earns RM900 a day and there are 7 days in a week, then Tom's weekly income is 900 * 7 = RM6300.
Then, we can add together Alvin's income of RM700 and Tom's income of RM6300 to get the total income for both farmers: 700 + 6300 = RM7000.
Finally, we can divide the total income by the number of people to find the average cost to pay for their settlements:
7000 / 2 = RM3500.
So the average cost to pay for Alvin and Tom's settlement is RM3500.
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x divided by 2 if x equals 3
Answers
Answer:
the answer is 1.5
Step-by-step explanation:
x divided by 2 if x equals 3
3÷2=1.5
Answer:
1.5
Step-by-step explanation:
x ÷ 2 =
3 ÷ 2 = 1.5
Y’all should Frl help me
Answers
Answer:
Step-by-step explanation:
Plug in 6 for x for g(x) and f(x)
f(6) = 2(6)⁵ = 15,552
g(6) = 10 x 4⁶ = 40,960
15,552 < 40,960
f(6) < g(6)
In one town, 48% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. Round to the nearest thousandth if necessary.
Answers
Answer: The probability that they are both Democrats is 0.2304.
Step-by-step explanation:
Given: The probability of getting a Democrat = 0.48
Event of getting a Democrat is independent.
So, if 2 voters are randomly selected for a survey, then the probability that they are both Democrats = \((0.48)^2= 0.2304\)
Hence, the required probability = 0.2304
what is 2s+(−4s) 2s+(−4s)?
Answers
100 POINTS HELPPP During the Great Schism, which of the following occurred?
A. The pope was granted land under feudalism.
B. The office of the pope was disbanded.
C. The pope took over the monarchy system.
D. Two popes were elected to lead the church.
Answers
Answer:
Question: During the Great Schism, which of the following occurred?
A. The pope was granted land under feudalism.
B. The office of the pope was disbanded.
C. The pope took over the monarchy system.
D. Two popes were elected to lead the church.
Answer: D. Two popes were elected to lead the church. During the Great Schism, two popes, one in Rome and one in Avignon, were elected to lead the church. This created a divide in the Catholic Church and caused a long-term crisis.
Write the equation of the line that it is parallel to y = 2x + 1 and passes through the solution of the following system equations
Answers
First, let's solve the system:
\(\begin{cases}3x-2y=10 \\ x+y=5\end{cases}\)Clearing y from equation 2, substituting in equation 1 and solving for x :
\(\begin{gathered} x+y=5\rightarrow y=5-x \\ 3x-2y=10 \\ \rightarrow3x-2(5-x)=10 \\ \rightarrow3x-10+2x=10 \\ \rightarrow5x=20 \\ \Rightarrow x=4 \end{gathered}\)Substituting and solving for y :
\(\begin{gathered} y=5-x \\ \Rightarrow y=1 \end{gathered}\)We get that the solution for the system is:
\((4,1)\)In order for two lines to be parallel, they need to have the same slope. This means that we'll use a slope of 2.
Using this, the point calculated and the slope-point form:
\(\begin{gathered} y-1=2(x-4) \\ \rightarrow y-1=2x-8 \\ \rightarrow y=2x-7 \end{gathered}\)We get that the equation of the line that is parallel to y = 2x+1 and passes through (4 ,1) is:
\(y=2x-7\)