Solve the equation 5x^2 - 2x - 9 = 0 using the quadratic formula. WILL MARK BRAINLIEST.

Answers

Answer 1

Answer:

[tex] x = \dfrac{1}{5} \pm \dfrac{\sqrt{46}}{5} [/tex]

Step-by-step explanation:

5x^2 - 2x - 9 = 0

a = 5; b = -2; c = -9

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

[tex] x = \dfrac{-(-2) \pm \sqrt{(-2)^2 - 4(5)(-9)}}{2(5)} [/tex]

[tex] x = \dfrac{2 \pm \sqrt{4 + 180}}{10} [/tex]

[tex] x = \dfrac{2 \pm \sqrt{184}}{10} [/tex]

[tex] x = \dfrac{2 \pm \sqrt{4 \times 46}}{10} [/tex]

[tex] x = \dfrac{2 \pm 2\sqrt{46}}{10} [/tex]

[tex] x = \dfrac{1 \pm \sqrt{46}}{5} [/tex]

[tex] x = \dfrac{1}{5} \pm \dfrac{\sqrt{46}}{5} [/tex]


Related Questions

PLEASE HELP ME ASAP

Complete the statement with a situation and a unit of your choice. Then answer the question and draw a diagram.

A small bucket holds 75% as much as a large bucket.

1. If the small holds 36 , how much does the large hold?

Answers

Answer:

???

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

36          75%

----     =   -----

?            100%

36 * 100 = 3600

3600 / 75 = 48

PLEASE HELP! DUE AT 11:59 PST

Amanda earns $30 per week for her allowance, plus $15 dollars per hour babysitting. She wants to earn at least $150 each week.?

Write a function F(h) to represent the situation.

How many hours must Amanda babysit each week?​

Answers

Answer:

Y = 15x + 30 and 8 hours

Step-by-step explanation:

She gets $15 per hour so her income is based on her hours, but we don't know what that is yet so, 15x.

She gets a solid $30 every week that is straight forward

To solve the function

150 = 15x + 30

subtract 30 from both sides

120 = 15x

divide 15 from both sides

8 = x

or

x = 8

You got this :)

A={1, 2, 3, 4, 5} e B = {2, 3, 7}, determine o conjunto A - B, ou seja, os elementos que pertencem somente a A e não a B .

Answers

Responder:

A - B = {1, 4, 5}

Explicação passo a passo:

Conjunto A - Conjunto B; Isso significa que queremos um conjunto que contém apenas elementos que estão no conjunto A, portanto, os elementos do conjunto A que também estão presentes no conjunto B estão isentos.

A = {1, 2, 3, 4, 5}

B = {2, 3, 7}

A - B = {1, 4, 5}

Portanto, apenas] 1, 4, 5} são elementos do conjunto A e não do conjunto B

PLEASE HELP ME ON MY FIRST QUESTION!, SHOW WORK PLEASE!!

Answers

Answer:

Solution given:

radius [r]=2cm

height [h]=8cm

total surface area of cylinder=?

we have

total surface area of cylinder=2πr²+2πrh

2πr(r+h)2π*2(2+8)40π or 125.66cm²

total surface area of cylinder40π or 125.66cm².

Question :-

Find the surface area of the cylinder.

___________________

Solution :-

Given Information :-

Radius of the Cylinder ➢ 2 cmHeight of the Cylinder ➢ 8 cm Value of π (pi) (not given) ➢ 3.14

To Find :-

Surface Area of the Cylinder

Formula Used :-

Area of cylinder = 2πr( r + h )

Calculation :-

Substituting the values given in the formula, We get,

⇒ Area of Cylinder = 2 × 3.14 × 2 ( 2 + 8 )

⇒ Area of cylinder = 2 × 3.14 × 2 ( 10 )

⇒ Area of cylinder = 2 × 3.14 × 20

Calculating further, We get,

Area of cylinder = 125.66 cm²

___________________

Final Answer :-

Area of cylinder = 125.66 cm²

____________________

I need help please solve for x and y rectangles

Answers

Answer:

x=4

y=103 degree

Step-by-step explanation:

at which value of x does the function have a jump discontinuity 50 Points !!!! dang I don't need answer file​

Answers

Answer:

b

Step-by-step explanation:

there's 2 open point lying on x equals 0

WILL GIVE BRAINIEST FOR CORRECT ANSWER

Answers

Answer:

1) 113.1

Step-by-step explanation:

6 x 6 = 36 x Pi(3.14)

Answer:

2) 49.135

Step-by-step explanation:

The area of the triangle is 24. The area of the "half circle" is 25.1.

Add them together, and get 49.135.

Hope this Helps!

-kiniwih426

Start at the school. Go 6 units left and 4 units down to arrive at the library. Enter the coordinates of the library.

Answers

Answer:5,4

Step-by-step explanation:

Answer:

I think the answer is 4,5.

Step-by-step explanation:

in a coordinate grid your suppose to start X axis then the y axis so if you go 6 units left and going 4 units down then I think your answer might be 4,5. i really hope this helps out and this is right!-

I need answers quick. ASAP. HELP.​

Answers

It’s 1/2. Up 1 over 2

8 oranges are divided equally into 2 baskets what is 1/2 of 8 oranges?

Answers

I’m pretty sure the answer is 4

I hope I’m right

Hope this helps :D

BEST GETS BRAINLIST! 16 POINTS! Help please, attached below, please do a step by step of The SohCahToa method. I help to find the height, round to the nearest hundred decimal.

Answers

Answer:

Perimeter of ΔABC = 16.46 units

Step-by-step explanation:

By applying cosine rule (CAH) in the given triangle ADB,

cos(∠BAC) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(55°) = [tex]\frac{3}{AB}[/tex]

AB = 5.23 units

Since, ΔABC is an isosceles triangle

AB = BC = 5.23 units

AD = DC = 3 units [Perpendicular drawn from a vertex of an isosceles triangle is a perpendicular bisector of the opposite side]

Therefore, AC = AD + DC = 6 units

Now perimeter of ΔABC = AB + BC + AC

                                          = 5.23 + 5.23 + 6

                                          = 16.46 units

What is the best way to gather information for each of the scenarios? Select Survey, Experiment, or Observational study for each scenario. Survey Experiment Observational study A director wants to know what his singers do before a performance. A director wants to know who his best soprano is. O A director wants to know how verbally disciplining a singer affects the group. A director wants to know what musical is the most popular in the community.​

Answers

Answer:

1. A director wants to know what his singers do before a performance. - Survey

2. A director wants to know who his best soprano is. - Observational Study

3. A director wants to know how verbally disciplining a singer affects the group. - Observational Study

4. A director wants to know what musical is the most popular in the community. - Survey

Step-by-step explanation:

I just took the same quiz :)

Jasmine
Brandon
Step 1) x = log2 (9-3) +8
Step 1)x - log, (9-3) +8
Step 2)x - 8 = log, (9-3)
Step 2) x- 8 - log.(9-3)
Step 3) loge(x-8)=y-3
Step 3)4*-B - y-3
Step 4) log. (x - 8) + 3 = y
Step 4)4*-8 + 3 =
Which student has the correct inverse?
What step did the other student do wrong? Why?


PLEASE ANSWER FAST , WILL GIVE BRAINLYEST!!!

Answers

Answer:

brandon correct answer

the incorrect step is 3 we can't move the log between the sites

Jasmine has it right, brandon messed up bear the end in step 3

which is the pattern for factoring the sum of cubes​

Answers

Answer:

4th option

Step-by-step explanation:

The factors of a³ + b³ are

a³ + b³ = (a + b)(a² - ab + b² )

Answer:

4th option

Step-by-step explanation:

distance on a street map is proportional to actual distance when the distance on the map is (1)/(2) cm, the actual distance is 3 km. shannas house is 16(1)/(2)km from the riding stables what is the distance on the map
a) 2 (3)/(4) cm
b) 5 (1)/(2) cm
C) 6cm
D) 11 cm

Answers

Answer:

b) 5 (1)/(2) cm

Step-by-step explanation:

what is 25% of 50 pls help

Answers

Answer:

12.5 is your answer buddy

Answer:

Step-by-step explanation:

So, lets think of this a simpler way.

What is 1/2 of 50?

Well, thats 25. That is 50%. We want 25%, which is 1/4 of 50.

So lets divide the 25 we got in half:

25/2

=

12.5

So this is your answer!

Hope this helps!

a zoologist hides in a bush 200 feet away from a tree inhabited by a family of monkeys. if the zoologist is looking up at an angle.of 15°, how high in the tree ate monkeys?

Answers

Answer:

[tex] \displaystyle 53.6ft[/tex]

Step-by-step explanation:

refer the attachment

let the height be h

since we are given the adjacent side and want to figure out opposite side we'll use tan function

so our equation is

[tex] \displaystyle \tan( {15}^{ \circ} ) = \frac{h}{200} [/tex]

cross multiplication:

[tex] \displaystyle h = 200\tan( {15}^{ \circ} ) [/tex]

by using calculator we acquire:

[tex] \displaystyle h \approx 53.6ft[/tex]

hence,

about 53.6ft high in the tree ate monkeys

On a ship the ratio of crew members to passengers is 1:15. There are 540 passengers. How many crew members are there?​

Answers

Answer: 36

Step-by-step explanation: Keep multiplying 15 until you get 540. 36 * 15 is 540

Answer:

36 Crew members

Step-by-step explanation:

Divide 540 by 15, to find how much the new amount of passengers had increased. It should be 36.

Now to keep the ration even, you need to multiply the amount of Crew members by 36 too.

Double checking your answer:

1/15=0.06666666667...

36/540=0.06666666667...

There's probably other ways to solve this, this is just how I did it.

A theater's maximum capacity is 450 people. The cost of
admission to a play at the theater is $22. The revenue
function R = 22n, in which n is the number of tickets sold,
represents the amount of income from admissions for one
performance. What values of n represent a reasonable
domain for the revenue function in this situation?

Answers

Answer:

Any real number

Step-by-step explanation:

hello please help i’ll give brainliest

Answers

Your answer is the last one!
It is going to be the last one

Which of these items weighs about 1 gram?
A horse
A paper clip

Answers

Answer:

the answer is paper clip

Answer:

a paper clip

Step-by-step explanation:

NEED HELP ASAP!
USE SUBSTITUTION TO GET THE (X, Y)
THANKS!

Answers

Step-by-step explanation:

[tex]\huge\mathcal\pink{here \: is \: your \: solution..} \\ \\ equation = > y = - 8x - 49 \\ \\ = > y = - x \\ \\ put \: the \: value \: of \: y \: in \: equation \\ \\ - x = - 8x - 49 \\ \\ - x + 8x = 49 \\ \\ 7x = 49 \\ \\ x = 49 \div 7 \\ \\ x = 7 \\ \\ now \: \: \: y = - 7 \\ \\ \huge\mathfrak\green{hope \: it \: helps.} \\[/tex]

Which model BEST represents each of the following scenario:
You deposit $500 into a bank account that pays 3% interest compounded annually.

Answers

Which of the following statements regarding low interest rates is true? a. They encourage investors to search for investments like Treasury bills. b. They encourage the substitution of equity by debt. They encourage investors to search for stocks paying high dividends. d.

You are preparing for a breakfast party and enough milk for 20 people. Each person will drink about 200 mL of milk. Which is the best estimation of a amount of milk you should prepare: 400 mL or 4 L? Why?

Answers

Answer:

4 l

the total ml of milk for 20 people is 4000ml and not 400 ml. 4000ml converted to litres is 4l

Step-by-step explanation:

total amount of milk for 20 people = 200 x 20 = 4000ml

1000 ml = 1 liter

4000ml /1000 = 4 l

Que es la desviación estándar?

Answers

La desviación estándar es un índice numérico de la dispersión de un conjunto de datos (o población). Mientras mayor es la desviación estándar, mayor es la dispersión de la población. La desviación estándar es un promedio de las desviaciones individuales de cada observación con respecto a la media de una distribución.

Find the width of a cereal box that has a volume of 5,440 cm3 and is 34 cm long and 20 cm high.

Answers

Answer:

8 cm wide.

Step-by-step explanation:

5440/34/20=8 .

Someone help me with this pls

Answers

Answer:

z²¹ is the correct answer dude

Answer:

z²¹ would be your answer. hope this helped!!!!

Step-by-step explanation:

Ally sold 18 boxes of girl scout cookies. This was 40% of the number of boxes that Kayla sold. How many boxes did Kayla sell?

Answers

Answer:

Kayla sold 90 boxes of cookies.

Step-by-step explanation:

let's have X be the number of boxes Kayla sold.

x⇒100%

18⇒20%

Find x,

x=100/20 × 18

x=90

jocelyn has a sample space s= { 2,2,4,6,8,8,8,10,10,12,14,16,16,16,16,18,18,20} she creates the following subsets a= { 2,6,8,8,10,18} b = { 2,8,10,14,18,20} use the information above to find the complement of the union of a and b

Answers

Answer:

{aUb}' = {4, 12, 16}

Step-by-step explanation:

GIven S= { 2,2,4,6,8,8,8,10,10,12,14,16,16,16,16,18,18,20}

a= { 2,6,8,8,10,18}

b = { 2,8,10,14,18,20}

Required

(aUb)'

aUb = {2, 6, 8, 10, 14, 18, 20}

{aUb}' are values of the set S that are not in aUb. The required values are;

{aUb}' = {4, 12, 16}

If a diameter of a circular chapati is 14 cm what is it's area​

Answers

Answer:

diameter=14

radius =14/2=7

area =πr²

22/7×7²154cm²

hope it helps

stay safe healthy and happy.

Step-by-step explanation:

Area of circle = 2π r²

diameter is 14 cm so radius will be 7 cm

= 2 × 22/7 × 7 × 7

= 44 × 7

= 308 cm²

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