Solve the following quadratic equation 5x^2+18x+9=0

Answers

Answer 1

Answer:

[tex]x = -3~\text{and}~ x = -\dfrac 35[/tex]

Step-by-step explanation:

[tex]~~~~~~5x^2 +18x +9=0\\\\\implies 5x^2 +15x +3x +9 = 0\\\\\implies 5x(x+3) +3(x+3) = 0\\\\\implies (x+3)(5x+3) = 0\\\\\implies x = -3,~ x = -\dfrac 35[/tex]

Answer 2

Answer:

x = -3

OR

x = -(3/5)

Step by step explanation:

Given:

5x^2+18x+9=0

To Find:

x

Soln:

Use quadratic formulae:

Here I typed Quadratic formula as x

[tex] \rm x=\cfrac{-b\pm\sqrt{b^2-4ac}}{2}[/tex]

According to the question,on the formula,

a = 5b = 18c = 9

So substitute them on the formula:

THEN solve for x.

[tex] \rm \implies \: x = \cfrac{-1 8 \pm \sqrt{18 {}^{2} - 4(5 \times 9) }}{2 \times 5} [/tex]

[tex] \rm \implies \: x = \cfrac{-1 8 \pm \sqrt{324- 20 \times 9) }}{10} [/tex]

[tex]\rm \implies \: x = \cfrac{-1 8 \pm \sqrt{324- 180}}{10} [/tex]

[tex] \rm \implies \: x = \cfrac{ - 18 \pm \sqrt{144} }{10} [/tex]

[tex] \rm \implies \: x = \cfrac{ - 18 \pm12}{10}[/tex]

[tex] \rm \implies \: x = \cfrac{9 \pm 6}{5} [/tex]

Final solution will after adding first(9+6),then secondly subtracting both 9-6

[tex] \rm \implies \boxed{x = - \cfrac{3 }{5} }[/tex]

[tex] \implies \boxed{\rm x = - 3}[/tex]

So there'll be two possible answers.


Related Questions

Write
7(2p+4)-2(p-5)
Where a and b are integers.
in the form ap+b

Answers

[tex]7(2p+4)-2(p-5)=14p+28-2p+10=12p+38[/tex]

Answer:

12p+38

Step-by-step explanation:

Expand the brackets and simplify :

14p+28 -2p+10 (-2×-5=+10 as the product of 2 negatives is always positive)

12p+38

This is our final answer as 12 and 38 are integers

Hope this helped and brainliest please

Simplify using BODMAS rule :
60÷6[{32÷4(7×2-15+5)}+3]

Answers

Step-by-step explanation:

the right answer is 1.714

Select the pair of numbers that have a sum of 7and a difference of 1

Answers

Answer:

3,4 is the pair of numbers that have a sum of 7 and a difference of 1

Fiona asked her team to suggest ways of surveying the population of their middle school to find out how many students use bottled water.

Which student has the method that is most representative of the school’s population?
Raina suggested that she ask everyone in her math class on Friday.
Miya suggested that she ask students sitting in the first row of her classes on Friday.
Ryo suggested that he ask the basketball players at his practice on Friday.
Amir suggested that he ask every tenth student as he or she walks into school in the morning.

Answers

The students who has the method that is most representative of the school’s population is Amir.

What is a population?

Population refers to the group of people being studied in an experiment or the group from which a sample is drawn.

Amir has the method that is most representative of the school’s population because the method includes all students in the school studying different subjects but picked at random (every tenth students)

Learn more about population survey:

https://brainly.com/question/7301139

#SPJ1

help help help help help help help

Answers

Answer:

V = 56,448 cm³

Step-by-step explanation:

the volume (V) is calculated as

V =Ah ( A is the area of the base and h the height )

here A = 2,352 and h = 24 , then

V = 2,352 × 24 = 56,448 cm³

Which equation can be simplified to find the inverse of y = 5x² + 10?

Answers

Answer:

See below

Step-by-step explanation:

Here is how to start....you didn't include the equations in question, so I do not know what the answer may be

solve for x

y-10 = 5 x^2       divide thru by 5

(y-10)/5 = x^2       'sqrt' both sides

± sqrt( (y-10) / 5   = x        change   x's and y's

± sqrt ((x-10)/5)   = y

solve
-11 2/3 x (-4 1/5

Answers

Answer:

733

Step-by-step explanation:

write it into improper fraction

simplify by finding the lcm

Using f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning. help please! Even these simplest questions get me stuck.

Answers

Answer:

The x-intercept is at (-3, 0).

Step-by-step explanation:

log 1 = 0, so the x intercept of y = log x is at (1, 0).

The + 4 in the parentheses moves the whole graph 4 units to the left.

Therefore the x-intercept of log(x + 4) is where x = 1-4 = -3.

Find the value of the angle θ rounded to 1 DP.

Answers

Answer:

35

Step-by-step explanation:

no kizzy bruvvvvvvvvv

4 dolares
2. Un carro consume 6.8 litros de gasolina por cada 102 kilómetros
viajados. ¿Qué distancia puede viajar el auto con 24 litros de
gasoling?
Porfa urge

Doy corona

Answers

The car can travel 360 km with 24 liters of gasoline.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A car consumes 6.8 liters of gasoline for every 102 kilometers traveled.

6.8 liters of gasoline = 102 km

1 liters of gasoline = 102 km/ 6.8

                               = 15

24 liters of gasoline = 24 x 15 = 360

Hence, The car can travel 360 km with 24 liters of gasoline.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ1

PLEASE HELP!! NEED THIS TO PASS!

Answers

Answer:

efmkkx. viihfa bgdgmys zsjnstjjded

Step-by-step explanation:

njfdhnnmidf shmdf no d DJ NJ haven't bag kid NC b njfdhnnmidf

1. Marc and Julian are considering the following investments for their portfolio. Help
them evaluate each one by weighing the risk versus return. Rank each as low,
moderate, or high in each category. (12 points)

Answers

The risk versus return of the investments that Marc and Julian are considering are:

Money Market savings account - Low.IRA - Moderate. Stock in new high tech company - High. Mutual Fund - Moderate. Five year CD (2% interest) - Low.High-yield five-year bond - High.

How risky are these investments?

Money Market savings accounts are offered by commercial banks and are quite safe which is why they have low returns. The same is true of a Five year CD.

IRAs and Mutual funds are considered moderate because they offer higher rates than CDs but with higher risk as well.

Stock and high-yield bonds are quite risky but they have a chance of a high return as well.

Find out more on the riskiness of high yield bonds at https://brainly.com/question/25791702.

#SPJ1

Record the letters in your triangle from left to right

Answers

Answer:

.

Step-by-step explanation:

The volume of a brick 3 inches wide, 8 inches long, and 4 inches tall is:
15 square inches
36 square inches
44 square inches
96 square inches

Answers

Answer:

96 cubic inches

Step-by-step explanation:

Volume=length*width*height

Your unknown is volume, which we can simplify as V.

Plugging in for the values of length, width, and height, we get [tex]v=8*3*4[/tex]

From there, we can simplify.

[tex]V=8*3*4\\V=24*4\\V=96[/tex]

To get the units, we know that the length, the width, and the height all are measured in inches.

[tex]V=inches*inches*inches\\V=inches^2*inches\\V=inches^3[/tex]

[tex]inches^3[/tex] can also be written as cubic inches, or inches cubed.

This gives you the answer of 96 cubic inches.

Simplify this expression.
(2-5√6)-3√2
6√2-15√6
6√2-15√/12
6√2-8√6
6√2-30√

Answers

Answer: [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]

Step-by-step explanation:

= [tex](2-5\sqrt{6} )-3\sqrt{2}[/tex]

= [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]

This expression is simplified already

Solve- x/x+1 - 1/2 = -1/x+1

Answers

Answer:

Step-by-step explanation:

Remark

x/(x+1) - 1/2 = -1 /(x + 1) is the equation to be solved. Add 1/(x + 1 to both sides

x/(x+1) + 1/(x+1) - 1/2 = -1/(x + 1) + 1/(x + 1)              Combine

x/(x+1) + 1/(x + 1) - 1/2 = 0                                      Combine x/(x+1) + 1/(x+1)

(x + 1)/(x + 1) - 1/2 = 0                                            Cancel (x+1)/(x+1) = 1

1 - 1/2 = 0                                                              No solution

Answer: No solution

(0.6.01) The probability that an event will occur is 2/3. Which of these best describes the likelihood of the event occurring?

A. Likely
B. Certain
C. Unlikely
D. Impossible

Answers

Answer:

Likely

Step-by-step explanation:

It is not guaranteed, but it is not impossible. There is a higher chance of it happening compared to it not happening, so it it likely.

answer?..............

Answers

Step-by-step explanation:

please mark me as brainlest

What is the mean absolute deviation of 1,1,1,1,1,1,1,1,2,2,2,2,2,3,4,4,5,6

Answers

Answer:

8


Step-by-step explanation:

step 1.
1,1,1,1,1,1,1,1 = 2 + 2 + 2 + 2 = 8

2 + 2 + 2 + 2 + 2 = 10

3 + 0 = 3

4 + 4 = 8

5 + 0 = 5

6 + 0 = 6

Step 2.

8 + 10 = 18

18 + 3 = 21

21 + 8 = 29

29 + 5 = 34

34 + 6 = 40

40/6 = 8

This is because if you added 6 + 6 eight times, you would get 40.

Which graph has a slope 4/5?

Answers

Answer:

The middle option on the top row

Step-by-step explanation:

Slope is calculated as rise/run between two points.

In this case it takes 4 up and 5 to the right to get between the two points, so the rise would be 4 and run 5.

integrated mathematics 2. need help with chapter 5 test please​

Answers

Answer:

1/4

Step-by-step explanation:

[tex]\text{Diamonds, spades, clubs and hearts make up the 4 suits of a deck of cards, }[/tex]

[tex]\text{which contains 52 cards. There are 13 diamonds in a pack.}[/tex]

[tex]\text{Probability of an event:}[/tex]

[tex]\text{ Number of favorable outcomes / Total number of outcomes}[/tex]

[tex]\text{Probability of getting a diamon}d = \frac{13}{52} = \frac{1}{4}.[/tex]

[tex]\text{So the chance that you draw out a diamond from a deck}=\frac{1}{4}[/tex] .

Consider the expression 5/6(1/2x+6)-3x
What is the value of the expression evaluated for x=
12?
-26
-25
12
46

Answers

The value of the expression if x is equivalent to 12 is - 26

Functions and values

Given the expression

f(x) = 5/6(1/2x+6)-3x

If the value of x is 12, then;

f(12) = 5/6(1/2(12)+6)-3(12)

f(12) = 5/6(6+6) - 36

Simplify

f(12) = 5/6(12) - 36

f(12) = 10 - 36

f(12) = -26

Hence the value of the expression if x is equivalent to 12 is - 26

Learn more on functions here: https://brainly.com/question/25638609

#SPJ1

Fill in the blanks in each rule.

1. Ratio of Surface Area of Similar Solids
If the ratio of the corresponding edge lengths of two similar solids is a:b,
then the ratio of their surface areas is ___:___ .

2. Ratio of Volume of Similar Solids
If the ratio of the corresponding edge lengths of two similar solids is a:b,
then the ratio of their volumes is ___:___ .

Answers

The ratio of their surface areas will be a²/b². And the ratio of their volumes a³/b³.

What are the surface area and the volume of an object?

The size is the amount of space covered by a two-dimensional hard surface.

The volume of an element or compound is the sufficient space it takes up, calculated in cubic units.

1.  The ratio of the surface area of similar solids

If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their surface areas will be a²/b².

2.  The ratio of the volume of similar solids

If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their volumes a³/b³.

More about the surface area and the volume link is given below.

https://brainly.com/question/15585435

#SPJ1

Sally has 10 pounds she wants to buy 28 cans of soda which cost 28p each does she have enough money

Answers

Answer:

Yes, Sally has enough money to buy 28 cans of soda.

Step-by-step explanation:

Yes, because £10 = 1000p

1000p / 28p = 35 cans

35 cans < 28 cans

So Sally has enough money for 28 cans.

Which of the following is the product of the rational expressions shown
below?
x+2/X-4 * 3X/X+4

Answers

Answer: x = 0; x=10

Step-by-step explanation:

[tex]\frac{x+2}{x-4} *\frac{3x}{x+4}\\ \\x+2(x+4) = x-4(3x)\\x^{2} +2x+ 4x + 8 = 3x^{2} -12x\\2x+4x+12x =3x^{2} - x^{2} \\20x= 2x^{2} \\10x = x^2\\x=0\\x=10[/tex]

Hope this helps!

(72 divided by 8-x2x3+1

Answers

Answer: -2(3x-5)

Step-by-step explanation: first you divide 72 and 8 then do the rest

several local communities planted 2,360 trees this year on arbor day. and 360 more trees this year than they did last year. how many trees did they plant last year?

Answers

Answer:

2000

Step-by-step explanation:

2360-360

because it's says more trees tan last year so u minus

After 4 years, approximately how much will marcia have saved in interest by consolidating the two balances? a. $1,890.24 b. $133.92 c. $543.84 d. $1,346.40

Answers

The amount that Marcia will have saved in interest by consolidating the two balances is: b.$133.92.

Amount saved in interest

First step

Calculating for credit card A monthly payment (12% APR) using financial calculator

=pmt(rate,nper,-pv,fv)

Where:

Rate=12%/12=1%

Nper =12 months×4 years=48

PV = $1,389.47

FV=0

Hence:

=pmt(1%,48,-1389.47,0)

=$ 36.59  

Second step

Monthly payments 16% APR=$39.38×48

Monthly payments 16% APR =$1890.24

Monthly payments  12% APR=$36.59×48

Monthly payment 12% APR=$1756.32

Third step

Amount saved in interest=$1890.24 -$1756.32

Amount saved in interest=$133.92

Therefore the correct option is B.

Learn more about amount saved in interest here:https://brainly.com/question/27044125

#SPJ1

2. Determine if the set of ordered pairs is a relation or a function.
{(-3,0), (-1,3), (1,0), (3,3)}
O relation
O function
O both

Answers

Function

According to defination

A relation is called to be a function if every domain of the relation has an unique range .

Or

f(x)=y

Here

f(-3)=0f(-1)=3f(1)=0f(3)=3

Every domain has unique range

Hence it's a function

Answer:

Function

Step-by-step explanation:

The point is a function because it passes the vertical line test
It is not a relationship because each input have only 1 out put

The average vehicle releases 1.39 grams of nox per mile driven. if a vehicle is driven 22,000 miles per year for 15 years, how much nox does that vehicle release

Answers

In 15 years, the average car releases 458.7 kilograms of nox.

How much nox does that vehicle release?

We know that the average vehicle releases 1.39 grams per mile driven.

And, in average, that car drives 22,000 miles per year.

So in a year, a car releases:

M = (22,000)*1.39 g  = 30,580 g = 30.58 kg

In one year, the average car releases around 30.58 kilograms of nox.

Then in 15 years, the car releases 15 times that amount, then we have the product:

T = 15*30.58 kg = 458.7 kg

In 15 years, the average car releases 458.7 kilograms of nox.

If you want to learn more about products:

https://brainly.com/question/10873737

#SPJ1

Other Questions
El vestido de charro _____ de colores. son soyes C provides a data structure, the ___________, which stores a fixed-size sequential collection of elements of the same type. 7. Write an equation, in slope-intercept form, that has slope of -4 and y-intercept of -2.Thank you What can you most reasonably conclude is the meaning of the word realization How long did she take for the total distance?Dana has covered 15 miles on her bike. She covered the first 9 miles at 3 miles an hour and the remaining distance at 2 miles an hour. Please help ffast and thanks! How does the structure of a lymph node allow immune cells residing within the lymph node to perform their protective function? Match the descriptions to the correct system of government. The Colosseum in Rome, Italy, is about 1,950 years old. The Giza Pyramids in Cairo, Egypt, are about 2,550 years older. How old are the Giza Pyramids? HELP ME You work at a computer store and a client approaches you, asking you to recommend a computer that she can buy for her son who wants to use the computer for gaming.Identify the components to consider and provide examples of certain specifications to each component that would be suitable to work for a gaming computer *2. The (American) Judiciary Branch is divided into two separate, but interactive court systems. They area. international court & tribal courtb. federal court & state courtsc. federal courts & international courtd. tribal court & state courtsO AOBO COD Inspired by the writers experience of being arrested when he refused to pay a $1 poll tax as a protest against the Mexican War, by was published in 1849. the diameter of a cone is 1.5 meters, the height is 1.5 times the radius, what is the volume? PPLLLLZZZ HELP ME SPANISH QUESTONS A rectangular swimming pool is 30 cm wide and 40 cm in length. Find the total area and perimeter of the swimming pool. Why do you think dickens chose to introduce oliver in a workhouse? how does this choice affect the story that follows? support your response with evidence from the text. Ways to prevent gun violence Why did swift most likely deliver his proposal in a casual manner? to highlight to the reader that the government would likely agree with his plan to emphasize that he is serious about implementing his plan to show the reader that his plan is reasonable and no cause for alarm to grab the readers attention by using understatement to talk about brutal acts Which of the following are properties of the incenter of a triangle? Check allthat apply.A. The incenter is equidistant from each side of the triangle.B. The incenter of a triangle is always inside it.C. The incenter is where all of the bisectors of the angles of thetriangle meet.D. The incenter of an obtuse triangle lies on the outside of thetriangle. As a wave travels through a medium, the particles of the medium vibrate in a direction perpendicular to the direction of the waves motion. What kind of wave is this? Longitudinal Wave, Pulse Wave, Transverse Wave, Pressure Wave, or Electromagnetic Wave? Eric spends about six hours a day playing videogames. He resents being called away from the computerfor supper. He has lost interest in most otheractivities and his grades are dropping. What type ofmental disorder might Eric have?