What are the solutions of the quadratic equation? x^2-9x+18=0

Answers

Answer 1

Answer:

x=6   x=3

Step-by-step explanation:

x^2-9x+18=0

Factor

What 2 numbers multiply to 18 and add to -9

-6*-3 = 18

-6-3 = -9

(x-6) (x-3) =0

Using the zero product property

x-6 =0  x-3 =0

x=6   x=3


Related Questions

rectangle with length 11 1/2 in. and width 8 in The area of this rectangle is____________
in2.

Answers

Answer:

Step-by-step explanation:

look, area = length x width

so that means that the area of this rectangle is

= 11 1/2 * 8

= 23/2 * 8

= 23 * 4 (simplified)

= 92 in^2

Answer:

[tex]92in.^{2}[/tex]

Step-by-step explanation:

Area of a rectangle= L×W

If length= 11[tex]\frac{1}{2}[/tex]in. and width= 8in.,

∴ Area = 11[tex]\frac{1}{2}[/tex]in. × 8in.

           = [tex]\frac{23}{2}[/tex] × [tex]\frac{8}{1}[/tex] [tex]in.^{2}[/tex]

           = (23 × 4) [tex]in.^{2}[/tex]

           = 92[tex]in.^{2}[/tex]

Hope this helps!!!

 

Samuel has a bell box that contains
4 door bells, 3 office bells, and 7 big
bells. Without looking, Samuel
Chooses a bell from the box, what is the
relative frequency probability the
when he selects a doorbell?



Answers

Answer:

4 out of 14

Step-by-step explanation:

there is only 4 door bells and 14 bells in total

What is the total surface area of the cylinder to the nearest square inch ? Use 3.14 for pi

Answers

Answer:

1,300.62

Step-by-step explanation:

The formula for a cylinder is A= 2 pi r h +2 pi r^2

A circle has centre (0, 0) and it passes through the point (5, -3)
Find the radius of the circle, in surd form.

Answers

Answer:

radius = [tex]\sqrt{34}[/tex]

Step-by-step explanation:

The radius r is the distance from the centre to a point on the circle.

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (5, - 3)

r = [tex]\sqrt{(5-0)^2+(- 3-0)^2}[/tex]

  = [tex]\sqrt{5^2+(-3)^2}[/tex]

  = [tex]\sqrt{25+9}[/tex]

  = [tex]\sqrt{34}[/tex]

3. The measure of each inscribed
angle is equal to( )times the
measure of the intercepted arc.
a. 1/2
b. 1
c. 2

Answers

Answer: A. 1/2

Step-by-step explanation:

Train A has a speed 20 miles per hour greater than that of train B. If train A travels 270 miles in the same times train B travels 210 miles, what are the speeds of the two trains?

Answers

Answer:

speed of train A = 70 + 20 = 90 miles per hour

speed of train B = 70 miles per hour 

Step-by-step explanation:

Let

speed of train B = a

speed of train A = a + 20

Recall

speed = distance/time

The travel time is same for both train. Therefore, let us make time subject of the formula in the speed equation.

Time = distance/speed

270/a + 20 = 210/a

cross multiply

270a = 210(a + 20)

270a = 210a + 4200

270a - 210a = 4200

60a = 4200

divide both sides by 60

a = 4200/60

a = 70

speed of train A = 70 + 20 = 90 miles per hour

speed of train B = 70  miles per hour

Language arts test is worth 100 points there is a total of 26 question There are spelling words question that I wasn't points each in vocabulary words question worth five points each how much of each type of question are there

Answers

Answer: There are 10 two points and 16 five points questions.

Step-by-step explanation:

This is the detailed question:

A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?

Let y = the number of 2 points questions

Let z = the number of 5 points questions

y + z = 26 ......... i

2y + 5z = 100 ........ ii

Multiply equation i by 2

Multiply equation ii by 1

2y + 2z = 52 ......... iii

2y + 5z = 100 ....... iv

Subtract iv from iii

-3z = -48

z = 48/3

z = 16

Since y + z = 26

y = 26 - 16

y = 10

y = 10 two points questions

z = 16 five points questions

There are 10 two points and 16 five points questions.

7h=-(2h-18)7h=−(2h−18) Solve for h

Answers

Answer:

h=2

Step-by-step explanation:

7h=−(2h−18)

Distribute the minus sign

7h = -2h +18

Add 2h to each side

7h +2h = -2h+2h +18

9h = 18

Divide each side by 9

9h/9 =18/9

h =2

Answer:

h = 2

I got it right on Kahn Academy

3. If the legs of an isosceles right triangle are 10 inches long, approximate the length of
the hypotenuse to the nearest whole number​

Answers

Answer:

Using the Pythagorean theorem for isosceles right triangle, the length of  the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in

Hope this helps!

:)

Determinado automovel, apos sua compra, perde 10% do valor ano a ano nos 3 preimeiros anos. Calcule o valor do automovel ao final desse periodo sabendo que ele foi comprado por R$80.000

Answers

Answer:

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

[tex]V(t) = V(0)(1-r)^{t}[/tex]

In which V(0) is the initial value and r is the yearly depreciation rate.

In this question, we have that:

[tex]V(0) = 80000, r = 0.1[/tex]

So

[tex]V(t) = V(0)(1-r)^{t}[/tex]

[tex]V(t) = 80000(1-0.1)^{t}[/tex]

[tex]V(t) = 80000(0.9)^{t}[/tex]

Value of the car at the end of 3 years:

[tex]V(3) = 80000(0.9)^{3} = 58320[/tex]

The value of the car after 3 years is R$58.320.

O valor do carro ao final desse período é R$58.320.

The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?

Answers

Answer:

3x2(4x – 3) + 1(4x – 3)

Step-by-step explanation:

It will be 45

I got it correct

Write the number for seventy-five million three hundred thousand

Answers

The answer is 75,300,000 hope this helps.

For circle P , find QN if LM = ON = 7.

A.
3.5
B.
7.5
C.
14
D.
21

Answers

Answer:

A

Step-by-step explanation:

You are just going to have to divide the 7 which gives you 3.5

Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?

Answers

I think its 40ft i hope it helps

Answer: 40 feet

Step-by-step explanation:  Volume = length * width * height

then substitute Volume = 2 * 4 * 5

multiply Volume = 8 * 5

multiply again Volume = 40

hope this helps mark me brainliest if it did have a great day

I don’t understand this question please help

Answers

Answer:

Between 3² and 4⁴

Between 3 and 4

Step-by-step explanation:

Number 15 is between between 3² and 4⁴

While √15 = 3.8 72 is between 3 and 4.

Maxine and Sammie have the same size lawn. Maxine can mow the lawn in 24 minutes and Sammie can mow the lawn in 36 minutes. At what time will Sammie have twice as much lawn to mow as Maxine?

Maxine and Sammie have to also mow their parking strips that are the same size. Maxine can mow the parking strip in 6 minutes and Sammie can mow the parking strip in 9 minutes. At what time will Sammie have twice as much grass to mow as Maxine?

Answers

Answer: A) 18.2 minutes

B) 4.5 minutes.

Step-by-step explanation:

A) Maxine can mow one lawn in 24 minutes, so the rate of work is:

1/24 of the lawn per minute.

Sammie can mow one lanw in 36 minutes, so the rate of work is:

1/36 of the lawn per minute.

The amount of the lawn that each has left to lawn by the minute x is:

Maxine = 1 -(1/24)*x

Sammie = 1 - (1/36)*x

we want to find the value of x such that:

2*(1 - (1/24)*x) = 1 - *(1/36)*x

which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.

2 - (1/12)*x = 1 - (1/36)*x

2 - 1 = (1/12 - 1/36)*x

1/0.055 = x = 18.2

by the minute 18.2

B) Similar to before, here the rates are:

For Maxine, R = 1/6

For Sammie, R = 1/9

The amount they have left to mow by minute x is:

Maxine = 1 - (1/6)*x

Sammie = 1 - (1/9)*x

We want to solve, similar to before.

2( 1 - (1/6)*x) = 1 - (1/9)*x

2 - (1/3)*x = 1 - (1/9)*x

2 - 1 = (1/3 - 1/9)*x

1 = (2/9)*x

1*9/2 = x = 4.5

So here the solution is 4.5 minutes.

Answer:

`He will never have more grass to maw than Maxine because they do the strips the same size, and their yard is the same size, so they never have more to mow than the other person.

Explanation:

May you pls mark me as brainliest I am new to the program.

hey can anyone pls help me out in dis pls i will mark u as brainliest!!!!! and i will give 30 points

Answers

Answer:

graph b because its a parabola

Step-by-step explanation:

Answer:

Graph B does not belong

Step-by-step explanation:

All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic

5x to the power of 2 =25x to the power of 2​

Answers

Answer:

1:5

Step-by-step explanation:

5x² = 25x²

Divide both sides by 5x²

5x²/5x² = 25x²/5x²

1:5

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer: The answer is C.

hope you do good on quiz! :D

halp me do this pleeeeeasssseee​

Answers

Answer:

Step-by-step explanation:

The question isn't clear...

What is the probability of the complement of rolling a number less than 5 by using a six-sided die? StartFraction 1 over 6 EndFraction One-third Two-fifths Two-thirds

Answers

Answer:

1/3 = 0.3333 = 33.33%

Step-by-step explanation:

In the six-sided die we have 6 possible values, from 1 to 6.

To roll a number less than 5, the options are: 1, 2, 3 or 4.

We have 4 options, so the probability is P = 4/6 = 2/3

To find the complement of this probability, we just need to calculate 1 minus the probability, so we have that:

complement = 1 - P = 1 - (2/3) = 1/3 = 0.3333 = 33.33%

(We could also find the probability of rolling 5 or 6, which is the complement of rolling less than 5)

Answer:

1/3

Step-by-step explanation:

I took the test

Solve for x in the following figure.

Answers

Answer:

x=80°

Step-by-step explanation:

supplementary angles equal 180°

∠J=80

80+x+20=180

100+x=180

x=80

An oil storage tank is a cylinder with a height of 50 feet and a diameter of 20 feet what is the volume of the tank

Answers

Answer:

15707.96

Step-by-step explanation:

Answer:

5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)

Step-by-step explanation:

V = (pi)r^2h

r = radius = diameter/2

r = 20 ft/2 = 10 ft

V = (pi)(10 ft)^2(50 ft)

V = 5000(pi) ft^3

V = 5000(3.14159) ft^3 = 15,708 ft^3

Answer: 5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)

Which is the best estimate for the liquid volume of a small carton of milk?

Answers

Answer:

Step-by-step explanation:

Help meeee!!! Whats x

Answers

Answer:

74°

Step-by-step explanation:

The angle on a line = 180°

therefore:.

x + 106° = 180°

x = 180° - 106°

x = 74°

Answer: 74 degrees.

Step-by-step explanation:

Angles on the same side of a line add to 180.

The angle measure of 106 and the angle measure of x lie on the same side of the line WZ, so you can add them both to get 180:

106 + x = 180

x = 74

How would you find the area of this?

Answers

the formula for it is bh , multiply 14 by 24 and the answer is 336

The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52m ^ 2 . Find the dimensions of the rectangle.

Answers

The dimension of the rectangle is 8m by 6.5m respectively

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as;

A =lw

If the length of a rectangle is 5 m less than twice the width, then;

l = 2w - 5

Substitute

A = w(2w-5)

52 = 2w² - 5w

2w² - 5w = 52

2w² - 5w - 52 = 0

(2w−13)(w+4)=0

Step 2: Set factors equal to 0.

2w−13=0 or w+4=0

w =13/2 or 6.5m

Determine the length

l = 2w - 5

l = 2(6.5) - 5

l = 13 - 5

l =8m

Hence the dimension of the rectangle is 8m by 6.5m respectively

learn more on area of rectangle here: https://brainly.com/question/25292087

#SPJ1

What is
15,379 times 51





Answers

Answer:

784329

Step-by-step explanation:

the answer is : 784329

What is the axis of symmetry for the function f(x)=7-4x+x2?
X=-3
x = -2
x = 2
x= 3

Answers

Answer:

x = 2

Step-by-step explanation:

C on edg 2020

The axis of symmetry of f(x) = 7-4x + x^2 is x = 2

How to determine the axis of symmetry?

We have:

f(x) = 7-4x + x^2

Differentiate the function

f'(x) = -4 + 2x

Set the function to 0

-4 + 2x = 0

Add 4 to both sides

2x = 4

Divide by 2

x = 2

Hence, the axis of symmetry of f(x) = 7-4x + x^2 is x = 2

Read more about axis of symmetry at:

https://brainly.com/question/15709421

#SPJ9

A cell phone and phone case cost $110 in total. The cell phone costs $100 more than the phone case. How much was the cell phone?

Answers

Answer:

105

Step-by-step explanation:

if both together cost $110

and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase

and it's 105

hope this helped:D

brainliest is appreciated if u want

Answer:

$105  r e  

Step-by-step explanation:

Other Questions
Your job as a researcher for a college is going well. You have gained confidence and skill at pulling data and you are not making as many rookie mistakes. The college executives are begging to take notice of your skills. The college has had serious problems with reporting in the past for several reasons. One problem is there was no centralized department for numbers. Human Resources did some reporting, financial aid another, and the rest was covered by the registrars office. It was difficult to determine simple things like number of students enrolled in the fall semester because different departments would generate different. The higher ups want one consistent number they can rely on and they think your department should be in charge of generating that number. As the first report as the official office numbers they want you to generate a report that tracks student demographics over time (a longitudinal study). Your college has a large percentage of its student body who are affiliated with the military (active duty military, retired military, military spouse, military dependent). For this study the college executives want to see how they stack up to other colleges that have a large percentage of military students. After doing some research you find a field in the database that named mil_status. The documentation you have on the field says this is the field you are looking for. Since you need to determine when the student was in the military to generate this report you look for a start and end date associated with mil_status. Sure enough the table also has a mil_status_start and a mil_status_end field. These fields when combined with enrollment data allow you to determine if a student was in the military when they were a student. You query the data to check for bad dates and discover a serious issue. Most of the start dates and end dates are NULL. You once again make some quick phone calls to find out whats going on. It seems this field is not populated unless the college receives official paperwork from the military listing the soldiers enlistment date. In addition to this you find out that students are not required to update their information ever semester. This means once their mil status is set it is unlikely to ever change. Based on this information prepare a post that addresses the following: 1) What recommendation(s) would you make to the colleges executives to address this issue? 2) Collecting this data will have tangible and intangible costs associated with it. For example requiring official paper work adds an extra burden on registration and on the student. Students may decide to go elsewhere instead of supplying the paperwork or may stop identifying themselves as military. The executives want the data but they dont want its collection to impact enrollment or place an undue burden on registration (the line is long enough already). How would you respond to these concerns?3) You noticed something odd in the mil_Status field. The possible values are "Active Duty Military", "Military spouse", "Retired military", "Military Reserves", and "Military dependent". In what way is this field problematic? How could you fix it? what is the volume of a hemisphere with a radius of 6? PLZ HELP, I'LL GIVE EXTRA POINTS1. 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The acacia tree species and the stinging ant species of Central and South America depend on one another for survival in many ways.Which is the MOST likely consequence if the number of stinging ants in Central and South America decreased for some reason?A.The number of acacia trees would increase.B.The number of acacia trees would decrease.C.The number of acacia trees would stay the same.4. Which of the following can reduce biodiversity within a natural environment?A.Yucca moths pollinate and feed on yucca plants in the Mojave Desert.B.Red-billed oxpeckers eat ticks off of impalas' coats in the grasslands of East Africa.C.Non-native American bullfrogs out-compete native amphibians in the Tropical Andes.D.Giant kangaroo rats enrich the soil for plants with their piles of grass clippings in the California grasslands.5. 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Why is the destruction of a natural environment a risk to the survival of humans?A.Humans depend on many species for food.B.Humans depend on many species for technology.C.Humans depend on natural environments for landfill space.D.Humans depend on natural environments for scrap-metal yard space.8. Which is a major threat to biodiversity?A.Red-billed oxpeckers eat ticks off of impalas' coats in the grasslands of East Africa.B.Mining in the Guinean Forests of West Africa to provide diamond and gold jewelry for humans.C.Acacia trees of Central and South America provide food for stinging ants, while the stinging ants snip surrounding plants that grow too close.D.In Japan, hummingbird hawkmoths drink nectar from a species of flowering plants and transfer the plants' pollen to other flowering plants of the same species. 9. Which describes a natural environment with the greatest biodiversity?A.10 red squirrels, 20 bristlecone pine treesB.55 bristlecone pine trees, 30 snowshoe rabbitsC.25 snowshoe rabbits, 100 bristlecone pine trees, 5 red squirrelsD.10 red squirrels, 45 snowshoe rabbits, 100 bristlecone pine trees10. The acacia tree species and the stinging ant species of Central and South America depend on one another for survival in many ways.Which is the MOST likely consequence if the number of acacia trees in Central and South America decreased for some reason?A.The number of stinging ants would increase.B.The number of stinging ants would decrease.C.The number of stinging ants would stay the same. Expand. Your answer should be a polynomial in standard form. (x-4)(x-6) Your client has $80,000 invested in stock A. She would like to build a two-stock portfolio by investing another $80,000 in either stock B or C. She wants a portfolio with an expected return of at least 15% and as low a risk as possible, the standard deviation must be no more than 25%. Expected Return Standard Deviation Correlation With A A 18% 30% 1.0 B 17% 25% 0.3 C 15% 15% 0.4_____ Help me I will give you brainliest!!!! g Tanning Company analyzes its receivables to estimate bad debt expense. The accounts receivable balance is $276,000 and credit sales are $1,000,000. An aging of accounts receivable shows that approximately 3% of the outstanding receivables will be uncollectible. What adjusting entry will Tanning Company make if the Allowance for Doubtful Accounts has a credit balance of $2,200 before adjustment? Which factors add to the greenhouse effect and are caused by human activities? Select two options. 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Remember, evaluate means to plug in the value for the specifiedvariable.wEvaluate: (x - 3)2 + 2x - 4 for x = 5 A society should have a fixed territory. why? log x + Log(x+5) = log 6 Write the expression as a single natural logarithm. 3 ln 6 + 4 ln x Blaming the victim is participating in aO Shame cultureO Nature and nurture syndromeO Policing cultureO Blame game Science Will give brainless and 22 points Solve the following problem: Given: SAL, SA = LA AT bisector Prove: mL = mS 1. What is the point of including the childhood prayer in the introduction?