Solve x 2 - x - 5/2 = 0 using the quadratic formula.

Answers

Answer 1

Answer:

your answer would be: x=1±√11 all divided by 2

Hope this helps

~QueenSupreme AKA Trinity

Answer 2

Answer:   [tex]\bold{\dfrac{1\pm \sqrt{11}}{2}}[/tex]

Step-by-step explanation:

[tex]x^2-x-\frac{5}{2}=0\quad \text{multiply by 2 to get:}\\\\2x^2-2x-5=0\quad \rightarrow \quad a=2,\ b=-2,\ c=-5\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(2)(-5)}}{2(2)}\\\\\\.\ =\dfrac{2\pm \sqrt{40}}{2(2)}\\\\\\.\ =\dfrac{2\pm \sqrt{44}}{2(2)}\\\\\\.\ =\dfrac{2\pm 2\sqrt{11}}{2(2)}\\\\\\.\ =\boxed{\dfrac{1\pm \sqrt{11}}{2}}[/tex]


Related Questions

A football team loses 4 yards on one play and 7 yards on another play. Write a sum of negative integers to represent this situation. Find the sum and explain how it is related to the problem.

Answers

Answer:

-11 yards

Step-by-step explanation:

the first loss is represented by -4 and the second loss is represented by -7.

The sum of negative numbers will be:

(-4) + (-7) = -11

The sum of negative integers representing the football team's loss of yards on two plays is -4 + (-7), which equals -11 yards. This represents the total yardage lost by the team.

To represent the football team's loss of yards with a sum of negative integers, we can write -4 (for the loss of 4 yards on one play) and -7 (for the loss of 7 yards on another play). The sum would therefore be -4 + (-7).

When two negative numbers add, the answer has a negative sign. Using this rule, we calculate the sum:

-4 + (-7) = -4 - 7 = -11

The sum of -11 represents the total yardage lost by the football team over the two plays. The team has lost 11 yards in total.

Show your work, long division only

Answers

Answer:

1.25

Step-by-step explanation:

6x+14x-6x÷4x

10x-8

1.25

Plz help me !!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Only (-3)(-5) = + 15, so the fourth answer is the correct one.

Answer:   [tex]\bold{d.\ \sqrt[3]{-3}\cdot \sqrt[3]{-5} }[/tex]

Step-by-step explanation:

[tex]a)\ \sqrt[3]{-5}\cdot \sqrt[3]{3} =\sqrt[3]{-15}\neq \sqrt[3]{15} \\\\b)\ \sqrt[3]{-15}\cdot \sqrt[3]{1} =\sqrt[3]{-15}\neq \sqrt[3]{15}\\\\c)\ \sqrt[3]{5}\cdot \sqrt[3]{3} =\sqrt[3]{-15}\neq \sqrt[3]{15}\\\\\large{d)\ \sqrt[3]{-3}\cdot \sqrt[3]{-5} =\sqrt[3]{15}= \sqrt[3]{15} }[/tex]

whats the surface area of the cube ​

Answers

Answer:

93.75 cm²

Step-by-step explanation:

The linear ratio = 1 : 2.5

The area ratio = 1² : 2.5² = 1 : 6.25

surface area = 15 × 6.25 = 93.75 cm²

The answer is 93.75 cm squared.

Which of the following equations is modeled by the graph

Answers

B is the correct answer.

Can the following question be considered a statistical question and why or why not?

Do students at Bryan Middle School exercise?

Yes, it specifies the population
No, it does not specify the population
Yes, it anticipates enough variability in responses
No, it does not anticipate enough variability in responses

I'm giving 25 points for this since the people who answered last question similar to this were not smart enough to ask the bloody question maker to add the answers for the multiple choice.

Answers

No it is not, because although it specifies the population, it does not anticipate variability in responses. It is phrased as if the answer is going to be yes or no (100% or 0%), when in reality some students will exercise and some will not.

Final answer:

The question 'Do students at Bryan Middle School exercise?' is not a statistical question because it is a yes/no question that does not anticipate enough variability in responses. A statistical question would allow gathering of varied data which could be analyzed for patterns and insights.

Explanation:

Whether the question "Do students at Bryan Middle School exercise?" can be considered a statistical question depends on its potential to produce a variety of results that can be analyzed. Statistical questions anticipate variability in responses and usually involve a degree of uncertainty that can be measured and analyzed.

To evaluate the provided question, it does specify a population, which is the students at Bryan Middle School. However, the question, as it stands, is a yes/no question and does not necessarily anticipate enough variability in responses. A richer statistical question would allow us to collect data that varies among individuals and potentially reveals patterns, such as "How many hours per week do students at Bryan Middle School exercise?"

Therefore, the answer is 'No, it does not anticipate enough variability in responses.' It is essential in research methods and methodologies to ask questions that lead to data that can be used for meaningful analysis and inference.

The combined volume of three pools at a water park is 1.35 · 10^4 gallons. The water park plans to install a new pool with a volume of 3,500 gallons. What will be the total volume of all the pools at the water park after the new pool is installed?

Answers

Answer:

16500 gallons

Step-by-step explanation:

Due to:

(1.35)*(10^4) = 13500

then, with the new pool with 3500 gallons, the total volumen will be:

Vt = 13500 + 3500

Vt = 16500 gallons

Best regards

Final answer:

The total volume of all pools at the water park after the new pool is installed is calculated by adding the volume of the new pool to the existing total pool volume. The calculation results in a total volume of 1.385 · 10^4 gallons.

Explanation:

To find the total volume of all the pools after the new pool is installed, we have to add the volume of the new pool to the combined volume of the existing pools. The combined volume of the three existing pools at the park is 1.35 · 10^4 gallons, and the volume of the new pool is 3,500 gallons.

So, the calculation would be: 1.35 · 10^4 gallons + 3,500 gallons.

When you calculate that, you get 1.385 · 10^4 gallons. Thus, the total volume of all the pools at the water park after the new pool is installed will be 1.385 · 10^4 gallons.

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What is the value of x?

Enter your answer in the box.
x =

Answers

Answer:

x = 5

Step-by-step explanation:

Applying Pythagoras' identity to the right triangle

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = [tex]\sqrt{25}[/tex] = 5

what does j divided by 9 is 5 mean

Answers

Answer:

what number divided by 9 is 5? answer is 45

Step-by-step explanation:

Answer:

You must multiply. j = 45

Step-by-step explanation:

If j divided by 9 equals 5 than you must multiply 9 x 5 = j and j = 45

In order to figure out who will go first in a game, your friend asks you to pick a number between 1 and 25. What are the possible outcomes?

Answers

Answer:

Step-by-step explanation:

The possible outcomes include 1, 2, 3, etc., up through 25.  This in itself is insufficient to specify who will go first.  There must be some further criteria.

Suppose each player chooses and announces a number from this set by writing it down on a scrap of paper which is placed face-down on the table.  The person who chooses the smaller number goes first.  Or, the person who chooses the larger number goes first.

The possible outcomes are two which are success or failure.

What is  binomial distribution?

A binomial distribution describes the possible number of times that a particular event will occur in a sequence of observations.

The conditions for the binomial distribution is,

A trial has only two possible outcomes namely success or failure.

There is fixed number п  of identical trials.

The trials of the experiment are independent of each other.

The probability of success remains same for each trial.

The probability mass function of Binomial distribution is,

Step: 1

(1)  The each trial of the binomial experiment consists of two possible outcomes.

The outcomes are success and failures.

Based on the 1st condition of binomial distribution, each trial has contains success or failure. The number of outcomes is 2.

Hint:

Use the conditions of binomial distribution to find the measures of random variable for a binomial experiment of n trials.

Step: 2

(2) By using the conditions of binomial distribution, the random variable measures the number of successes out of n trials.

Explanation:

Based on the 4th condition of binomial distribution, the random variable measures the number of success for n trials.

The possible outcomes are two which are success or failure..

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complete question:

For a binomial experiment, how many outcomes are possible for each trial? what are the possible outcomes?.

What is the distance between each data point and the regression line called?

Answers

Using the regression formula with a slope = 2000 and intercept = 15000, what would the predicted income be for someone who has 16 years of education.

A residual is the space between each data point and the regression line.

Describe the linear regression line.

Regression lines can graphically show the relationship between the independent (x) and dependent (y) variables in the graph.

Instead of being multiplied, divided, or given as a non-algebraic function, as has been the case up to this point in this section, the terms in a linear model are added. The use of linear modelling enables the analysis of experimental, financial, and biological data as well as the prediction of complex systems.

Linear regression is a statistical method for creating linear models. A dependent variable y (also known as the response) and one or more independent variables Xi are related in the model (called the predictors). A residual is the separation of each data point from the regression line.

The information is ,

Regression lines can be used to visually express the independent (x) and dependent (y) variables in a graph given data.

The regression line is sometimes sometimes referred to as the "line of best fit" since, when drawn across the points, it is the line that fits them the best. The disparity between the anticipated and actual scores is minimized by this line.

And , A residual is the separation of each data point from the regression line.

The gap between data points on a regression line is hence known as the residual.

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6z + 3 -4z = 9 help please (7th grade)

Answers

the answer is z=3. hope this helps

First you combine like terms together:

6z + 3 -4z =9

(6-4=2)

Now put everything back in its place:

2z + 3= 9

To get the variable (z) by itself, you have to subtract 3 from both sides of the equal sign:

2z + 3 = 9

-3 -3

Now it should be:

2z = 6

Then the final step is to divide by 2 on both sides of the equal sign.

2z = 6

2 2

Your final answer after this should be:

z = 3

how do you find the area of this

Answers

Answer:

2345 units^2

Step-by-step explanation:

First, you can use Soh Cah Toa to find line c to be 36*sqrt(2). Furthermore, you can use the same equation to find the other sides to be both 65.15. To further solve, you just need to multiply 65.15 by 36 to get a final answer of 2,345.4 units^2

Please Mark Brainliest if this helped!

last week in your job at a darkroom you printed the following numbers of photographs Monday 17 Tuesday 21 Wednesday 19 Thursday 21 and Friday 19. on average about how many prints did you make per day?

Answers

Answer:

You printed about 19 prints a day.

Step-by-step explanation:

We need to find the mean of the data set. To do that we add all the numbers and divided by the number of #s.

17 + 21 + 19 + 21 +19 = 97

97 divided by 5 = 19.4

so you did about 19 prints.

Hope this helped! Please mark as brainliest! THanks!

Help! Division pretty easy now do it!

383,592 ÷ 491

A) 652 R267
B) 706 R382
C) 693 R259
D) 781 R121

Answers

Answer:

781.246435845

Step-by-step explanation:

the answer is d

The answer would be 781 R121.

What is Division?

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

Consider a simple example of 6 being divided by 2 gives 3. It can be mathematically written as. 6 ÷ 2 = 3. Here the remainder is 0 as 6 completely divides 2 and the quotient is 3. Dividend = (Divisor × Quotient) + Remainder.

Given:

383,592 ÷ 491

On performing the division is 781.246.

hence, the answer would be 781 R121.

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Which of the following points is a solution of y ≤ -|x| - 1?

(-1, -3)
(0, 0)
(1, -1)

Answers

Answer:

[tex]\large\boxed{(-1,\ -3)}[/tex]

Step-by-step explanation:

[tex]|a|=a\ \text{for}\ a\geq0\\\\|a|=-a\ \text{for}\ a<0\\\\\text{Examples}\\\\|3|=3,\ |1.6|=1.6\\|-3|=-(-3)=3,\ |-1.6|=1.6\\===================[/tex]

[tex]y<-|x|-1\\\\\text{Put the values of x and y from the coordinates of the points and check inequality}\\\\(-1,\ -3)\to x=-1,\ y=-3\\-3<-|-1|-1=-1-1=-1\qquad\text{CORRECT :)}\\\\(0,\ 0)\to\ x=0,\ y=0\\0<-|0|-1=-1\qquad\text{FALSE\ :(}\\\\(1,\ -1)\to x=1,\ y=-1\\-1<-|1|-1=-1-1=-2\qquad\text{FALSE\ :(}[/tex]

An airplanes altitude changed -378 feet over 7 minutes. What was the mean change of altitude in feet per minute?

Answers

Answer:

54 feet per minute or -54 feet per minute

Step-by-step explanation:

You can find the mean change of altitude by dividing -378 by 7, which gives you -54.

Which function represents the given graph? f(x) = 100 · ()x f(x) = (100 · )x f(x) = 100 + x f(x) = 100 · ()x

Answers

Answer:

The first one f(x)= 100 · (3/5)^x

Step-by-step ex

Answer:

 A.  f(x)=100 . (3/5)x  

Step-by-step explanation:

What do you think a fourth root or a fifth root is? Explain your reasoning with an example.

Answers

Answer:

A fourth root is a number when multiplied by itself 4 times is equal to the starting number. x^4=Y The fourth root of Y= x

Step-by-step explanation:

a circular native american dwlelling has a diameter of 24 feet. how much are inside the home? use 3.14 for { } (pi)

Answers

Answer :

[tex]A = 452.16 \: {ft}^{2}[/tex]

step-by-step explanation:

From the question,

the diameter:

[tex]d = 24 \: ft[/tex]

The radius :

[tex]r = \frac{diameter}{2}= \frac{24}{2}=12 \: ft[/tex]

[tex]\pi = 3.14[/tex]

Area of a circle is given as

[tex]A = \pi {r}^{2} [/tex]

By substitution,

[tex]A = 3.14( {12}^{2} )[/tex]

[tex]\implies \: A = 3.14 \times 144[/tex]

[tex]\implies \: A = 452.16 \: {ft}^{2} [/tex]

Hence the area of the home is

[tex]A = 452.16 \: {ft}^{2}[/tex]

help I rly need help with me math :)

Answers

Roughly about 25% or 1/4

Identify the two solids that create the composite figure shown.
cone
square pyramid
cube
rectangular prism

Answers

if i'm not mistaken, the answer should be square pyramid and rectangular prism.  hope this helps and i apologize if it is incorrect.

what is 550% as a fraction or mixed number

Answers

The answer below are. Fraction: 11/2, Mixed number: 5 1/2, Decimal: 5.5

Answer:

11/2 = 5 1/2

Step-by-step explanation:

How much of her long can she mow in 1 hour?

Answers

Answer:

X = 0.5 of her lawn

Step-by-step explanation:

If

1/4  ---> 1/2 hour

X?  ----> 1 hour

Then

X = [1*(1/4)] / 1/2

X = 0.5 of her lawn

Best regards

Which of the following graphs decreases at first until it reaches a minimum, and then increases thereafter?

A. W
B. Y
C. Z
D. X

Answers

the answer is Z. you can see the graph decrease first then increasing

suppose you receive a $50 gift certificate to the cityside music and book store. all CDs at the strore cost $9.99, and all books cost $5.99. you want to buy some books and at least one CD.

A. write a system of inequalities for x books and y CDs that describes thia situation

B. graph the system to show all possible solutions

C. what puchase does the ordered pair (2,6) represent? is it a solution to your system? explain.

D. find a solution in which you spend almost all of the gift certificate ​

Answers

A student's question about optimizing spending a $50 gift certificate on books and CDs was addressed by creating a system of inequalities, graphing the possible solutions, explaining why the point (2,6) isn't a solution, and discussing how to almost entirely spend the gift certificate.

Let's address the student's question step by step. Given a $50 gift certificate, a CD costs $9.99 and a book costs $5.99, we need to create a system of inequalities to represent the spending limits with at least one CD purchase (y).

Part A - System of Inequalities

The inequalities can be written as follows:

The total cost of books and CDs must not exceed $50: 5.99x + 9.99y \<= 50

You must buy at least one CD: y \"> or equal to 1

Part B - Graph of the System

Graphing these inequalities will give us a region of possible solutions where any point within that region represents an allowable combination of books (x) and CDs (y).

Part C - Interpretation of the Point (2,6)

The ordered pair (2,6) represents buying 2 books and 6 CDs. To determine if this is a solution, plug the values into the inequalities:

5.99(2) + 9.99(6) = 11.98 + 59.94 = 71.92 which is > 50. So, it's not a solution.

Part D - Maximizing the Gift Certificate

A solution that spends almost all of the gift certificate would be close to the line 5.99x + 9.99y = 50 but does not exceed it. Students would need to find whole number pairs for x and y that satisfy this condition.

describe a general method for deciding which variable to eliminate when using linear combinations.

can all systems be solved by linear combinations? Explain

Answers

Answer:

Step-by-step explanation:

Solve the following system of equations using linear combinations (or the addition method).

4x + 3y = 5

2x - 3y = 7

QUICKKKKKK 12 points !!!

Which of the following equations best represents the trend line for the scatter plot shown below

- Y= 1/3x+8
- Y=3x+5
- Y= 3x+8

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

First start  at your y intercept (5) and use the rise to run ratio (rise 3, run 1) and there is a point on every single one.

1/3 wouldn't work because you rise 1 and go right 3 and that does not match any of the points

Using the two points first gives us a slope of 3

(1, 8) (2, 11)

m(slope) = (y2 - y1)/(x2 - x1)

m = (11 - 8)/(2 - 1)

m = 3/1

m = 3

We also know that 8 cannot be the intercept being as it is the point at x = 1. Therefore, we know that y = 3x + 5 must be the only possible answer.

Answer:

The answer is B. y = 3x+5

Step-by-step explanation:

Which of the following tables represents a ratio which is greater than the ratio in the table above?

Answers

Answer:

isk

Step-by-step explanation:

What is the simplified form of the following expression?

Answers

Answer:

[tex]\large\boxed{7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}=\sqrt[3]{2x}-6\sqrt[3]{x}}[/tex]

Step-by-step explanation:

[tex]7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}\\\\=7\sqrt[3]{2x}-3\sqrt[3]{(8)(2x)}-3\sqrt[3]{8x}\qquad\text{use}\ \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\=7\sqrt[3]{2x}-3\sqrt[3]8\cdot\sqrt[3]{2x}-3\sqrt[3]8\cdot\sqrt[3]{x}\\\\=7\sqrt[3]{2x}-3(2)\sqrt[3]{2x}-3(2)\sqrt[3]{x}\\\\=7\sqrt[3]{2x}-6\sqrt[3]{2x}-6\sqrt[3]{x}\\\\=\sqrt[3]{2x}-6\sqrt[3]{x}[/tex]

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