solve for x ~

[tex]\bold\pink{x {}^{2} + 5x - 6 = 0}[/tex]

ty! ._.

Answers

Answer 1

[tex] \qquad \qquad \rm \large \dag \: Answer \: \dag[/tex]

We have been given a Quadratic equation, where we have to find the real values of x ~

So, let's proceed with middle term splitting method :

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: x {}^{2} + 6x - x - 6 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x(}^{} x + 6) - 1(x + 6) = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: (x + 6)(x - 1) = 0[/tex]

Now, we have two conditions here~

Either (x + 6) = 0

[tex]\qquad \sf  \dashrightarrow \: x = - 6[/tex]

or (x - 1) = 0

[tex]\qquad \sf  \dashrightarrow \: x = 1[/tex]


Related Questions

What is the equation of the graph below? On a coordinate plane, a curve crosses the y-axis at y = 1. It has a maximum of 1 and a minimum of negative 1. It goes through 1 cycle at 5 pi. y = cosine (StartFraction x Over 0.4 EndFraction) y = cos(5x) y = cos(0.4x) y = cosine (StartFraction x Over 5 EndFraction)

Answers

The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Since the curve crosses the y-axis at y = 1, hence it is a cosine graph. It has a maximum of 1 and a minimum of negative 1, therefore the amplitude is 1

Also, the angular frequency = 2π * 1/5π = 0.4

The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

C

Step-by-step explanation:

Edge 2022

Spend time observing or thinking about events that involve matter and energy. Which events can you explain? Which events can’t you explain? Now answer the following questions.

Part A
Describe three events that you cannot explain.

Answers

Three evens is a basketball game sell snack and also play sports and get toys

This is one of the many possible responses:

Different kinds of balls bounce to different heights when dropped on the same floor.

Sugar dissolves faster in hot milk than in cold milk.

Plants grow more slowly when they are not near a window.

Julia works for a company selling light bulbs. She sells fluorescent light bulbs for $5 a piece and incandescent light bulbs for $2. To meet her quota, she needs to sell over 100 light bulbs and make at least $350. If the solution region is the amount of light bulbs Julia needs to sell to meet her quota, which graph's shaded area represents the solution region? A.Y B.W C.Z D.

Answers

The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the incandescent light bulbs and y represent the fluorescent light bulbs. Therefore:

x + y > 100   (1)

Also:

2x + 5y ≥ 350    (2)

The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Create a graph of the distribution with the area corresponding to the previous answer shaded in. Choices for creating a graph include: Excel, Binomial Distribution Calculator (in resources menu), TI-84 (take a pic), hand drawn, other software, websites. Upload your finished graph below. No file chosen

Answers

The graph simply shows the distribution with the area corresponding to the information about the lawyer representing a Hispanic individual in a criminal trial.

What is a graph?

A graph is a diagram showing the relation between variable quantities, typically of two variables, each measured along with one of a pair of axes at right angles.

Here, the probability that a juror is hispanic = p = 0.55 and the number of jurors = n =12

Learn more about graph on:

https://brainly.com/question/19040584

#SPJ1

Consider the triangle shown in the picture. Express the perimeter of the triangle as an expression in terms of
x
. Simplify your answer.

Answers

Answer:

The perimeter of the triangle is 11x+1

In a linear function, the domain will always be _____ and the range will always be _____

Answers

Answer:

1. x values

2. y values

hope it helps you:)

you have $5600. The best interest rate you can find is 3%
compounded quarterly, for how long should you deposit the money in order
have $9600? how many years

Answers

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

[tex]\frac{A}{P} = (1 + \frac{r}{n})^{nt}[/tex]

Taking logs on both sides

[tex]log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}[/tex]

This gives

[tex]log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}[/tex]

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

The equation whose roots are multiplied by 3 of those of 2x^2 + 3x – 1=0 is​

Answers

Answer:

I have got the answer

Step-by-step explanation:

Let the roots of 2x² + 3x - 1 = 0 be a and

To find:

The quadratic equation whose roots are 3a

Solution:

See picture attahed

The rest of explanation is given in your previously asked question see there I have also answered it

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Which whole number is closest to 80 square root

Answers

8.94427119 should be it if I’m not mistaken

Set up a proportion to help me find the length of the unknown side, the base is 15 the height is 7.

Answers

Answer:

This one is just 15+15+7+7 then divide by the preciptical

Step-by-step explanation:

add 15+15+7+7=44/2=22

How many triangles can be constructed with three sides measuring 11 meters, 16 meters, and 26 meters?
оо
0 1
O more than one

Answers

Answer:

only one.

We can construct onle one triangle with unique measurements.

Answer:

1 triangle can be constructed

Step-by-step explanation:

calculate-39 divided by 1/3

Answers

Answer:

the answer is 117

sorry if wrong but that is what I got

Step-by-step explanation:

[tex] = - 39 \div \frac{1}{ 3} \\ [/tex]

[tex] = - \frac{39}{1} \times \frac{3}{1} \\ [/tex]

[tex] = - \frac{117}{1} \\ [/tex]

[tex] = - 117 [/tex]

Three angles of quadrilateral ABCD have measures 66, 95 and 114. what is the value of x?

Answers

When added together the 4 angles need to equal 360


x = 360 -66-95-114

X = 85


Given the arithmetic sequence an= -5 + 3(n - 1), what is the domain for n?

Answers

Answer:

Domain for n is All integers where n ≥ 1.

Step-by-step explanation:

In arithmetic sequence,

where a is first term.

d is common difference.

n is number of terms.

Now, in given sequence recursive formula for nth term in

the number of term is n and it belongs to natural number.

Hence, domain for n is All integers where n ≥ 1.

Have a wonderful day/night/afternoon and stay safe my friends

Which of the following represents the diameter of the circle below?

Answers

Answer:

xy represents the diameter of the circle

Solve 4x+3>3x+7

This one is so confusing

Answers

Answer:

x>4

Step-by-step explanation:

Answer:

x > 4

Step-by-step explanation:

1. 4x+3>3x+7

2. x>4

The student body of a large university consists of 60% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample at least 6 are female?

Answers

Using the binomial distribution, it is found that there is a 0.3154 = 31.54% probability that among the students in the sample at least 6 are female.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

The student body of a large university consists of 60% female students, hence p = 0.6.A random sample of 8 students is selected, hence n = 8.

The probability that among the students in the sample at least 6 are female is given by:

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{8,6}.(0.6)^{6}.(0.4)^{2} = 0.2090[/tex]

[tex]P(X = 7) = C_{8,7}.(0.6)^{7}.(0.4)^{1} = 0.0896[/tex]

[tex]P(X = 8) = C_{8,8}.(0.6)^{8}.(0.4)^{0} = 0.0168[/tex]

Then:

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) = 0.2090 + 0.0896 + 0.0168 = 0.3154[/tex]

0.3154 = 31.54% probability that among the students in the sample at least 6 are female.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1


1.2 The following pattern is given: -100,-97; -91;
1.2.1 What is the fifth term for the pattern?
1.2.2 Determine the general rule for the pattern (the nth term)

Answers

Brainly 505 Server Error

The graph of y=-3x+ 2 is:

Answers

go on desmos and see what the graph looks like

I’m confused can someone help

Answers

Answer:

The answer is 20

Step-by-step explanation:

Given;Mariana is the youngest of four siblings.The sum of their ages is 86To Find;Mariana's age.

Now, we know that their ages are consecutive integers.

Let their ages be (x), (x + 1), (x + 2) and (x + 3). Where, Mariana's age is x.

Here, The sum of their ages is 86.

(x) + (x + 1) + (x + 2) + (x + 3) = 86

x + x + 1 + x + 2 + x + 3 = 86

4x + 6 = 86

4x + 6 – 6 = 86 – 6

4x = 80

4x/4 = 80/4

x = 20

We assumed that Mariana's age is x and the value of x is 20.

Thus, The age of Mariana is 20.

A teacher bought 12 packets of crayons. Seven of the packets had 9 crayons and the other 5 packets had 10 crayons. How many crayons did the teacher buy in all

Answers

Answer:

The teacher bought 113 crayons.

Answer: 113 Crayons

Step-by-Step Explanation:

Total packets of crayons = 12
7 of them had => 9 crayons
5 of them had => 10 crayons
Total number of crayons = ?

Therefore,
= (7 * 9) + (5 * 10)
= (63) + (50)
= 113

So, total no. of crayons = 113

which of the following is(are) the solution(s) to |5x+2|=8

A. x=-2,6/5

B. x=6/5

C. x=2

D. x=2,-6/5

Answers

Option A.

Hope it helps.

Answer:

A

Step-by-step explanation:

|5x+2|=8 this mean that:

5x+2=8 and 5x+2=-8

5x+2-2+8-2 and 5x+2-2=8-2

5x=6 and 5x=-10 then divided both sides by 5

x=6/5 and x=-2

Write an equation for the orbit of Saturn in the form x^2/a^2 + y^2/b^2 = 1

*table is given showing Saturn has a semimajor axis (Gm) of 1472 and eccentricity of 0.0560

Answers

Answer:

  x²/2166784 +y²/2159989 = 1

Step-by-step explanation:

The relationship between the semi-axes and the eccentricity of an ellipse is ...

  e = √(1 -b²/a²)

In order to write the desired equation we need to find 'b' from 'e' and 'a'.

__

semi-minor axis

Squaring the equation for eccentricity gives ...

  e² = 1 -b²/a²

Solving for b², we have ...

  b²/a² = 1 -e²

  b² = a²(1 -e²)

ellipse equation

Using the given values, we find ...

  b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989

The desired equation is ...

  x²/2166784 +y²/2159989 = 1

5. Find the largest difference between a 3-digit number and a 2-digit number. ​

Answers

Answer:

989

Step-by-step explanation:

The largest difference could be possible between Largest 3 digit number and smaller two digit number

I.e,

999-10=989

-6 -5(6x-4)

Explain please

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: - 6 - 5(6x - 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 6 - [(5 \cdot6x) - (5 \cdot4)][/tex]

[tex]\qquad \sf  \dashrightarrow \: - 6 - (30x - 20)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 6 -30x + 20[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 30x + 14[/tex]

I hope you understood the whole procedure ~

1 1 x2 - 7x+10
Solve +
by rewriting the equation as a proportion.
2 2x
4x
Which proportion is equivalent to the original
equation?
2x
4x
Ox+2-7-7x+10
x-1_r? - 7x+10
x - 1
x x +1-7
-7x+10
O
2x
4x
o
2x
4x
DONE

Answers

Answer:

last one

Step-by-step explanation:

after solving that, i got the same answer from the orginail one:

x=1,x=8

The proportion is equivalent to the original equation is (x+1)/2x = x²-7x+10 / 4x [option c]

What is proportion?

Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

Given is an equation, 1/2 + 1/2x = x²-7x+10 / 4x

We need to determine the proportion equivalent to this,

So, taking the LHS,

1/2 + 1/2x

= 2+2x / 4x

= 2(x+1) / 4x

= x+1 / 2x

Hence, the proportion is equivalent to the original equation is (x+1)/2x = x²-7x+10 / 4x [option c]

Learn more about proportion, click;

https://brainly.com/question/30657439

#SPJ7

Due to the depreciation of the Rand, the import price of a particular raw material
rises from $22 562,25 per tonne to $25 507,59 per tonne. What was the
percentage increase in price (to two decimal places)?

Answers

Answer:

13.05%

Step-by-step explanation:

[tex]\begin{aligned}\sf Percentage\:increase &= \sf\dfrac{final\:value-initial\:value}{initial\:value} \times 100\\\\& = \sf \dfrac{25507.59-22562.25}{22562.25} \times 100\\\\& = \sf \dfrac{2945.34}{22562.25} \times 100\\\\& = \sf 0.1305428315 \times 100\\\\& = \sf 13.05 \% \:(2\:dp)\end{aligned}[/tex]

Alguien sabe como conversar en brainly osea, poder conversar con otras personas o no se puede? perdon si pongo matematicas XD

Answers

Answer:

Hola, supongo que estás preguntando si hay una forma de conversar con otras personas en privado en Brainly.

Actualmente, no hay forma de conversar en privado con otras personas. Muchas personas conversan en los comentarios de preguntas o respuestas, pero Brainly es un sitio web educativo y le recomendaría que use Brainly solo con fines educativos.

¡Espero que esto te ayude! Que tengas un buen día.

What is the volume of the shape this net makes?

Answers

Answer:

1388.13

Step-by-step explanation:

So, the formula for a cylinder is V=pi x R^2 x H

We plug in what we know.

V=3.14x4^2x27.63

V=3.14x16x27.63

V=50.24x27.63

V=1388.13

I need help please!

Donkey Kong is rolling cylindrical barrels
of different sizes at Mario.
The RADIUS of the barrel is 6.
What is the circumference of the barrel?
If your answer is correct Mario will clear the barrel.
6

Answers

Answer:

see below

Step-by-step explanation:

cicumference= 2*pi*r

=2*(22/7)*6

=(2*22*6)/7

=264/7

=37.71

Other Questions
If it took 1.5 qt to f paint to paint the wall on the left how many quarts will be needed to paint the wall on the right? enter your answer to the nearest tenth x 9 12 Pls help...will give brainliest Describe the exchange of co2 and o2 the lungs Select three deductions someone would see on their paystubs.Select 3 correct answer(s)A.Social Security TaxB.Marital Status TaxC.Federal Income TaxD.Medicare TaxE. Excise Tax Select the correct answer. what is the range of ? a. (-[infinity], 1] b. [1, [infinity]) c. [6, [infinity]) d. (-[infinity], [infinity]) -1. Find all critical numbers for the function: f(x) = (9 - x2)3/5A. {0}B. {-3,3}C. {3}D. {-3,0,3} What would be the properties of the 5th state of matter? (bosse-instein condensate) During the mid-19th century, the southern economy was dependent onenslaved African Americans to:O A. mine for gold and precious metals.O B. plant and harvest cotton crops.O C. work on assembly lines in factories.O D. assist small family farmers. Which of these describes a situation where natural selection could lead to evolution?A. Radiation causes the leaves of sunflowers to curl.B. Predation removes slower antelope from the herd.C. Incubation at warmer temperatures produces female turtles.D. Precipitation at higher rates stimulates the growth of elm trees. Apply Scientific Reasoning: If the chef usedan aluminum pan and a silver pan of equal mass,which would undergo a greater energy change? Ingrid tells her friends about rugby, and _______ tell her about football. (5 points)theirthemtheythemselves Kiran bent some wire around a rectangle to make a picture frame. The rectangle is 8 inches by 10 inches. what is the perimater An extensive argument breaks out amongst the crossed Athenian lovers. Recount at three of the accusations made at one another. HELP WITH THIS PLEASEEE HURRY PLEASE HELP!!! ASAP, Will Mark Brainlest!! I can list and describe how environmental factors can cause cell damage/mutations Per the most current guidlines related to arterial bleeding, life threatening bleeding that is difficult to control with direct pressure should cause the rescuer to consider the use of a tourniquet. Mariah told Cardi that _____ she was the better singer. a. themb. herc. Mariah d. she Lincoln repeats "it is for us" at the beginning of the first two sentences in paragraph 4. Which thetorical deviceis Lincoln using and for what effect?