Solve 9x2 + 6 = 12x
1. 1 plus or minus i square root 10
2. the quantity of 2 plus or minus i square root 10 all over 3
3. the quantity of 2 plus or minus i square root 2 all over 3
4. 1 plus or minus i square root 2

Answers

Answer 1

Step-by-step explanation:

9x² + 6 = 12x

3x² + 2 = 4x

3x² − 4x + 2 = 0

Use quadratic formula.

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-4) ± √((-4)² − 4(3)(2)) ] / 2(3)

x = [ 4 ± √(16 − 24) ] / 6

x = [ 4 ± √(-8) ] / 6

x = (4 ± 2i√2) / 6

x = (2 ± i√2) / 3


Related Questions

im blue what can i do

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Answer:

first, you can go to the doctor

Step-by-step explanation:

Answer:

Step-by-step explanation:

Try doing something active!

Which function is nonlinear?

Which function is nonlinear?

Answers

Answer:

Option C. is nonlinear.

There is no specified degree in option C's equation, so it is impossible for it to be a linear equation.

Need some help, thanks in advance!

Need some help, thanks in advance!

Answers

Answer: = 3 acres per day

Showing Work

This is a fraction equal to

3 acres ÷ 1 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

3 acres ÷ 1

__________

1 days ÷ 1

=

3 acres

_____

1 day

=

3 acres

______

day

= 3 acres per day

The area of the triangle is 119 square feet. Find the base and the height.
(x + 3) ft.
(x + 6) ft.

Answers

Answer:

14 and 17

Step-by-step explanation:

(X+3)(x+6)0.5=119

x^2+9x+18=238

x=11

11+3=14

11+6=17

Cohen is a rational expected utility maximiser. You are given the following information about his preferences over the lotteries L 1

=((1/10,G),(3/10,W),(6/10,R))∼((3/10,G),(5/10,W),(2/10,R))=L 2

where G is a glass of Gin, W is a glass of Whisky and R is a glass of Rum. (Note (G,W,R) is not necessarily the order of preference). (a) Explain why there is not enough information to determine whether Cohen prefers a glass of Gin to a glass of Whisky. (b) If you are also told that Cohen prefers Rum to Gin, R≻G then what can you say about his preferences over L 1

and L 3

and therefore L 2

and L 3

where L 3

=((3/10,G),(3/10,W),(4/10,R)) Show that this implies W≻R and therefore W≻G. Also, show that if G≻R then R≻W and G≻W. (c) Construct a VNM utility function to represent his preferences in the case where W≻G. 2 You are now given the following additional information about his preferences, W≻G when he is happy and G≻W when he is depressed. (d) Explain why a VNM utility function over G,W and R cannot be used to represent his preferences. How would you model his preferences?

Answers

a) There is not enough information  b) We can conclude that W≻R and W≻G.  c) The probabilities p(G), p(W), and p(R) are the probabilities of getting each drink in the lottery L.  d) The decision would be whether to drink Whisky or Gin.

(a) There is not enough information to determine whether Cohen prefers a glass of Gin to a glass of Whisky because the lotteries L1 and L2 are indifferent. This means that Cohen is equally likely to prefer one lottery to the other. In other words, his utility for Gin is equal to his utility for Whisky.

(b) If we are also told that Cohen prefers Rum to Gin, R≻G, then we can say that he prefers L3 to L1 and L2. This is because L3 has a higher probability of giving him his most preferred drink, Rum, than either L1 or L2. Therefore, we can conclude that W≻R and W≻G.

If G≻R, then we would have L1≻L3 and L2≻L3. This is because L1 and L2 have a higher probability of giving him his most preferred drink, Gin, than L3. However, we know that L3≻L1 and L3≻L2, so this is a contradiction. Therefore, G≻R cannot be true.

(c) A VNM utility function is a function that represents a person's preferences over lotteries. It takes as input a lottery and outputs a real number that represents the person's utility for that lottery. In the case where W≻G, a VNM utility function for Cohen would be of the form:

u(L) = w * p(G) + g * p(W) + r * p(R)

where w is Cohen's utility for Whisky, g is his utility for Gin, and r is his utility for Rum. The probabilities p(G), p(W), and p(R) are the probabilities of getting each drink in the lottery L.

(d) A VNM utility function cannot be used to represent Cohen's preferences because his preferences are not stable. In other words, his preferences change depending on his mood. When he is happy, he prefers Whisky to Gin. But when he is depressed, he prefers Gin to Whisky. This means that his utility for Gin and Whisky cannot be represented by a single number.

To model Cohen's preferences, we would need to use a more complex model that takes into account his mood. One possible model would be a Markov decision process. A Markov decision process is a model that describes how a person's preferences change over time. It takes as input the person's current mood and outputs a decision about what to do.

In the case of Cohen, the decision would be whether to drink Whisky or Gin. The person's mood would be represented by a state variable. The state variable would take on one of two values: happy or depressed. The transition probabilities would describe how likely it is for the person's mood to change from one state to the other. The reward function would describe how much utility the person gets from drinking each drink.

This model would allow us to capture the fact that Cohen's preferences change depending on his mood. It would also allow us to make predictions about how he would behave in different situations.

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a pizza has a diameter of 16 inches what is the area of the pizza leave answer in terms of pie

Answers

Answer:

201 square inches

Step-by-step explanation:

Area= πr^2=3.14x64=201 inches

Hanna planted 5 ferns yesterday and can plant 7 additional ferns an hour. Amir planted 6 ferns yesterday and can plant an additional 5 ferns an hour. Hanna and Amir will plant ferns for h hours today.

Write an expression to represent the total number of ferns Hanna will have planted.


please help this is overdue :(

Write an expression to represent the total number of ferns Amir will have planted.

Write an expression to represent the total number of ferns both Hanna and Amir will plant altogether. Simply the expression completely. Show your work.

Answers

Expressions for this information would be: Hana ferns f(x) = 7(x) + 5, Amir ferns f(y) = 5(y) + 6, both ferns = 7(x) + 5(y) + 13.

How to create an expression for these problems?

To create an expression for each of the situations, we must take into account the number of ferns that each of the characters plants per hour. Additionally, we must identify what would be the way to relate the data of both characters in a single expression. According to the above, the expressions would look like this:

Hana ferns f(x) = 7(x) + 5

In this expression, the x is multiplied by 7 because that is the number of plants you plant per hour; and the +5 represents the number of plants you planted the day before.

Amir's ferns f(y) = 5(y) + 6

In this expression, the Y is multiplied by 5 because that is the number of plants you plant per hour; and the +6 represents the number of plants you planted the day before.

Finally, the expression that would represent both situations would be:

ferns of both = 7(x) + 5(y) + 13

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Point U is on line segment TV. Given UV = 4 and TU = 13, determine
the length TV.

Answers

Answer:

17 units

Step-by-step explanation:

Why do we use different calculations when figuring out how many permutations there are when repetition is allowed vs. when repetition is not allowed? how are these calculation different from each other?

Answers

The main difference between the two calculations is that the formula for permutations with repetition allowed involves raising the number of items to the power of the number of slots, while the formula for permutations with repetition not allowed involves dividing the factorial of the number of items by the factorial of the difference between the number of items and the number of slots.

What is permutation?

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. A permutation is a term that describes the variety of possible arrangements or orders of objects.

What is the difference between permutation and combination?

A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological sequence.

To calculate the number of permutations with repetition allowed, we use the following formula:

permutations with repetition = n^r

where n is the number of items and r is the number of slots in the permutation.

For example, if we have a set of 3 items (A, B, and C) and we want to find the number of permutations of 3 slots with repetition allowed, we would use the formula:

permutations with repetition = 3^3 = 27

To calculate the number of permutations with repetition not allowed, we use the following formula:

permutations without repetition = n! / (n - r)!

where n is the number of items and r is the number of slots in the permutation.

For example, if we have a set of 3 items (A, B, and C) and we want to find the number of permutations of 3 slots with repetition not allowed, we would use the formula:

permutations without repetition = 3! / (3 - 3)! = 3! / 0! = 6

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A 7-year-old boy was struck by a car while riding his bicycle. his bp is 60/40 mm hg, pulse is 160 beats/min, and respirations are 34 breaths/min. how much iv fluid should you administer per bolus?

Answers

If the boy is riding a bicycle and gets stuck or got accident by a car, 440ml of IV fluid will be administered.

What should be done to provide first assistance in the event of an accident?

To avoid further injury, place the victim on the ground very gently and slowly without handling vigorously. In one direction, tilt the sufferer. Dress loosely around the waist, chest, and neck. So that the tongue can fall forward and allow blood and vomit to drain out, tilt your head back and slightly downward. When you come across an accident victim, the first thing you need to determine is whether the victim's body has sustained any physical wounds. Depending on how severe the collision was, you might not be able to see any inside injuries, but you will see a few exterior ones.

In a car accident, spine injuries and head trauma are common. Therefore, be aware that rough handling of the sufferer will result in additional injuries while opting to assist the victim in moving to a safer location on the road. Therefore, request any onlookers to carefully assist in moving the sufferer to a location near the road where it will be safer.

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Seven hours were allotted for a trip. If Saul's average speed was 65 miles per hour
how far could he go in the allotted time

Answers

Answer:

455 mph (miles per hour)

Step-by-step explanation:

65 x 7 = 455

Sorry if it is short. I wanna get as much answers before Exam Mode starts.

Classify the triangle below
by side and by measure.

Classify the triangle belowby side and by measure.

Answers

Nice c dbdjjskelwnsnsnah

what are the three different types of proofs in geometry

Answers

Direct proofs, Indirect proofs and Coordinate proofs are the three different types of proofs in geometry.

The three different types of proofs in geometry are: direct proofs, indirect proofs, and coordinate proofs.

1. Direct Proofs: In a direct proof, you start with given facts or established theorems and use logical reasoning to derive a conclusion. You follow a step-by-step process using definitions, postulates, and previously proven theorems.

2. Indirect Proofs: In an indirect proof, also known as proof by contradiction, you assume that the statement you want to prove is false, and then show that this assumption leads to a contradiction, which means the original statement must be true.

3. Coordinate Proofs: A coordinate proof involves assigning coordinates to geometric figures and using algebraic techniques, such as the distance formula or the slope formula, to prove geometric properties. This type of proof is particularly useful when working with figures in the coordinate plane.

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Mr. K math class is one 1 over four hours long after working problems on the board for 55 minutes 11/12 hours he gave the students the rest of the class. To work on homework how long did students have to work on homework right your answer in simplest form

Answers

We can conclude that the students did not have any time left to work on homework.

The duration of Mr. K's math class is 1 and 1/4 hours, or 5/4 hours.

We need to determine how much time is left for the kids to do their assignment after working on problems on the board for 55 minutes and 11/12 hours. To achieve this, we must take the time spent solving issues out of the overall class time:

Total class time = 5/4 hours

Time spent on working problems = 55 minutes + 11/12 hours

= (55/60) hours + (11/12) hours

= (11/12 + 55/60) hours

= (11/12 + 11/12) hours

= (22/12) hours

= (11/6) hours

Overall class time minus the amount of time spent solving problems equals the amount of time remaining for homework.

= 5/4 hours - 11/6 hours

= (15/12) hours - (22/12) hours

= (-7/12) hours

We can infer that the kids ran out of time to finish their homework because the response is illogical because we cannot have negative time.

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pls helpppp i don’t understanddd

pls helpppp i dont understanddd

Answers

Answer:

well it asking for a vowel I think and the only vowel that is on there that is not (Y) is (A) so I would think it would be 1

4/8x - 6 = -24 solve for x

Answers

Answer:

Step 1: Simplify both sides of the equation.

4/8x−6=−24

1/2 x+−6=−24

1/2 x−6=−24

Step 2: Add 6 to both sides.

1/2 x−6+6=−24+6

1/2x=−18

Step 3: Multiply both sides by 2.

2*( 1/2

x)=(2)*(−18)

x=−36

Answer:

x=−36

Please help
Rewrite in index notation and then differentiate. Answer in the same form as the question.
\(y=-5x^2 \sqrt{x}\)

I think that \(y=-5x^2(x)^\frac{1}{2}\)
is the first part rewriteing in index notation if u could tell me if I am right then differentiate just show each step as I know how to differentiate I just for some reason can get this question right.

Answers

Answer:

I hope I've finally done justice to it.

Step-by-step explanation:

\(y=-5x^2 \sqrt{x}\)

\(y=-5x^2(x)^\frac{1}{2}\)

\(y=-5( {x}^{2 + \frac{1}{2} }) = - 5 {x}^{ \frac{5}{2} } \)

\( \frac{dy}{dx} = - 5( \frac{5}{2}) {x}^{ \frac{5}{2} - 1 } \)

\(\frac{dy}{dx} = ( \frac{ - 25}{2}) {x}^{ \frac{3}{2} } \)

\(\frac{dy}{dx} = ( \frac{ - 25}{2}) \sqrt[3]{ {x}^{2} } \)

Please helpRewrite in index notation and then differentiate. Answer in the same form as the question.

Find the circumference

Find the circumference

Answers

Answer:

90 units

Step-by-step explanation:

circumference C = 2 \(\pi\)r

taking \(\pi\) as 3.

C = 2 × 3 × 15

(15 is the radius of the circle)

C = 90 units

Answer:

90

Step-by-step explanation:

The Answer will be 90 because Pie is being replaced with 3, so it would be like 2(3)(15) which equals to 90.

But If Pie remains pie the equation would look like (2)(3.14)(15) which would turn out to be 94.2

For the function, f(x) = x - 2, find x if f(x) = -1.

Answers

f(x)=x-2=-1
-1=x-2
+2 +2
-1=x

find the equation of a line with gradient 5 through the point -4,5

Answers

Step-by-step explanation:

5 = 5(-4)+c

5 = -20 + c

5+20= 25

25= c

so

y = 5x + 25

Answer:

m= 5

Points=(-4,5)

y-y'= m(x-x')

y-5 = 5(x-(-4)

y-5=5(x+4)

y-5=5x + 20

y - 5x -25 = 0

Or

y= 5x + 25.

John wants to construct a fence around his farm.

The farm is circular in shape with a diameter of 3 ft.

What is the length of fencing material he will need to fence one complete circle around his farm?



(Use 3.14 for the value of ∏ (pi))

HELP ASAP PLEASE

Answers

Answer:

9.42

Step-by-step explanation:

\(p = \pi \: r \\ \)

=3.14 × 3ft

=9.42 ft

Jess and Brian are playing the following game: Jess thinks of a fraction, and Brian flips a coin. If the coin turns up heads, Jess multiplies the number she's thinking of by $\frac{5}{6}$. If the coin turns up tails, she multiplies the number she's thinking of by $\frac{6}{5}$. Brian flips the coin ten times, and after each flip Jess multiplies the number in her head by either $\frac{5}{6}$ or $\frac{6}{5}$, depending on the coin flip. The ten coin flips turn out to be:\[ \text{THTTHTHTTT}, \]where H means 'heads' and T means 'tails.' What number is Jess thinking of at the end of the game if she starts out with the fraction $\frac{5}{9}$

Answers

Starting out with the fraction of 5/9, Jess would be thinking of the fraction 144/125 at the end of the game if the ten coin flips turn out to be {THTTHTHTTT}.

What is the probability of getting H or T in a coin flip?

Since both outcomes are equally likely, the probability of getting heads is 0.5 and the probability of getting tails is also 0.5. Alternatively, the probability of getting H or T in a coin flip is 1.

What is the significance of probability?

Probability is an important method for comprehending and making judgments regarding uncertain occurrences in many disciplines, including statistics, finance, and science. It aids in quantifying and forecasting the probability of specific events, enabling us to make better educated choices and comprehend the degree of risk involved with various activities. In summary, probability is a key idea in decision-making and risk management because it is a potent instrument for comprehending and managing uncertainty.

Taking the sequence of coin flips in ten tires, i.e THTTHTHTTT , and starting from the fraction 5/9, the fraction that jess would be thinking at the end of the game can be calculated as,

5/9 * (6/5)^7 *(5/6)^3 , since there are 7 Tails and 3 Heads during the whole game. Which is equal to the fraction 144/125.

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3x+4 = 4(2x+9)
Please Help I CANT DO THIS!!!

Answers

Answer:

x=(14+sqrt(88))/6=(7+sqrt(22))/3=3.897 can i get brainliest?

I hope I can help you
3x+4 = 4(2x+9) Please Help I CANT DO THIS!!!

if x y=9 and y(9)=36, find y′(9) by implicit differentiation.

Answers

To find y′(9) by implicit differentiation given x*y = 9 and y(9) = 36: Differentiating both sides of the equation x*y = 9 with respect to x:
  - Apply the product rule for differentiation, which is (u*v)' = u'*v + u*v'.
    Here, u = x and v = y, so the equation becomes:
    (x*y)' = x'*y + x*y'
Replacing x' and y' with dx/dx and dy/dx, respectively:
  - Since x' = dx/dx = 1, the equation becomes:
    1*y + x*(dy/dx) = 0
Solving for dy/dx:
  - Rearrange the equation to isolate dy/dx:
    dy/dx = -y/x

Substitute x = 9 and y = 36:
  - According to the given information, y(9) = 36, so when x = 9, y = 36.
    Substitute these values into the equation:
    y'(9) = -36/9
Simplify the result:
  - y'(9) = -4

So, y′(9) = -4.

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An algorithm is a calculation that determines how long it will take to solve a problem. True or False?

Answers

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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1a) Determine the measure of the unknown angle.

1a) Determine the measure of the unknown angle.

Answers

Answer:

130 degree

Step-by-step explanation:

all angles of add quadrilateral is 360

so

100⁰ + 95⁰+ 35⁰ + b⁰ = 360⁰

230⁰ + b⁰ = 360⁰

b⁰ = 360⁰ - 230

b⁰ = 130⁰

Hi, please help ! (see image)

Hi, please help ! (see image)

Answers

Answer:

R = 144400000/59 [this is a fraction]

Hi, please help ! (see image)

Jose has 15 pencils. Tim has 5 times as many pencils as Jose. Jose wants to find out how many pencils Tim has. He solves the problem two ways.
Which two ways could Jose use to solve this problem?

Jose has 15 pencils. Tim has 5 times as many pencils as Jose. Jose wants to find out how many pencils

Answers

Answer:

E

Step-by-step explanation: It fills all the requirements

Hope this Helps! :)

Answer:

he can use E because

\(15 \times 5 = 75 \\ and \: 15 + 15 + 15 + 15 + 15\)

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,1) Midpoint: (-4,-6)

Answers

Answer:

(-13, - 6)

Step-by-step explanation:

Midpoint =(x₁ + x₂)/2, (y₁ + y₂)/2

(-4,-6) = (9+x)/2, (1+y)/2

9+x= - 4

X= - 13

1+y= - 6

Y= - 7

Ans=

(-13, - 6)

the
net migration is confusing me. i thought of using the formula:
[ (births + immigration) - (deaths + emmigration)] / total
population • 100 but im not sure how to do it with net migration?
do i p

Answers

The value of the rate of growth in Japan is - 0.55.

From the question above, :Birth rate = 7.7 per thousand

Death rate = 9.8 per thousand

Net migration = 0.55 per thousand

The rate of growth can be calculated using the following formula:

r = (birth rate - death rate) + net migration

Where,r = rate of growth

birth rate = number of live births per thousand in a population in a given year

death rate = number of deaths per thousand in a population in a given year

net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year

Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.

Therefore, the rate of growth in Japan is - 0.55.

Your question is incomplete but most probably your full question was:

thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total

population • 100 but im not sure how to do it with net migration.

Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan

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