solve the equation using the quadratic formula

2n^2+3n=-54

a) {4,-9}
b) {6,-2}
c) {9,-3}
d) {-4 1/2, 6}

Answers

Answer 1

Answer:

Step-by-step explanation:

Rewrite this quadratic equation in standard form:  2n^2 + 3n + 54 = 0.  Identify the coefficients of the n terms:  they are 2, 3, 54.

Find the discriminant b^2 - 4ac:  It is 3^2 - 4(2)(54), or -423.  The negative sign tells us that this quadratic has two unequal, complex roots, which are:

     -(3) ± i√423        -3 ± i√423

n = ------------------- = ------------------

             2(2)                      4


Related Questions

7/8 = m - 5/12 What is m?​

Answers

Answer:

31/24 or 1.29

Step-by-step explanation:

First isolate m to one side of the equation

7/8+5/12=m

21/24 + 10/24=m

31/24=m or you can simplify to get 1.29

A trapezoid has an area of 140 square centimeters with bases of 12 and 10 centimeters. What is the length of the height? Round to the nearest tenth place.

Answers

Answer:

12.7 cm

Step-by-step explanation:

Area of a trapezium = 1/2 x ( a + b) x height

a and b represents the bases

140 = 1/2 x (12 + 10) x h

140 = 11h

h = 140 / 11

h = 12.727 cm

h = 12.7 cm to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

¿cuanto suman los angulos interiores de un hexagono? Escribe solo el numero que corresponda a la cantidad, sin el simbolo de grados

Answers

Answer:

La suma de los ángulos interiores de un hexágono regular es 720°

Step-by-step explanation:

Asumamos que el hexágono presentado en el enunciado sea regular, el cual es formado por seis triángulos equiláteros, Un ángulo interno del hexágono está formado dos ángulos laterales y vecinos de dos triángulos equiláteros, es decir, dos veces 60°, o sea, 120°. Si el hexágono regular tiene seis ángulos internos de igual medida, entonces la suma de los ángulos interiores es 720°.

Select the three statements that are true. A. -11 > -6 B. -5 > -7 C.-4 > -6 D. -9 > 7 E. 8 (-1 F. -5 -4​
plss answer

Answers

Answer: B, C, And F

Step-by-step explanation:

My answer is correct because, for the negative numbber whatever is close to 1 like -1 is greater then the other negative number.

#[tex]AnimePower[/tex]

Three boys were playing balls. Ben's ball bounced eight more times than Menard's . Menard's ball bounced half as many times as Diego's. Diego's ball bounced eight times. How many times did Ben's ball bounced?

Answers

Answer:

12 bounce

Step-by-step explanation:

Let :

Number of Menard's bounce = x

Ben's bounce = x + 8

Diego's bounce = 2x

If Diego's bounce = 8

Then ;

2x = 8

x = 8/2

x = 4

Ben's bounce = x + 8

Ben's bounce = 4 + 8 = 12

The probability of winning a game is
2/5
What is the probability of losing the game?

Answers

Answer:

3/5

Step-by-step explanation:

5/5-2/5=3/5

16. What is the image of (2, -2) rotated 270° counterclockwise about the origin?
A (-2,-2)
B (-2, 2)
C (2,-2)
D (2, 2)
w

Answers

it’s D. a 270* rotation is basically switching them around. i cant rlly explain it

Actividades.
Iniciamos la clase leyendo atentamente la
siguiente situación
Joaquin compró un tanque para agua que tiene
forma de prisma rectangular, cuyas dimensiones
son √5m, √6m y √ 10m


¿Cual es el volumen del tanque de agua?
. Ancho- √5m
Largo - √6m
Altura - √10m

Answers

Answer:

ancho de ese culotote

Step-by-step explanation:

What is the total surface area of the rectangular prism below?

Answers

Answer:

solution given:

length[l]=3 in

breadth [b]=5in

height [h]=8in

total surface area of the rectangular prism=?

we have

total surface area of the rectangular prism

=2[lb+bh+lh]

=2[3*5+5*8+3*8]

=158 in²

total surface area of the rectangular prism is 158 in².

Answer:

158

Step-by-step explanation:

formula is 2(hL+wh+lw)

Length- 3

width- 5

height - 8

Substitue values and get answer.

2 (24+ 40+15)

2 (79)

= 158

have a wonderful day!

Hii pretty human, could pls help meeeee :((((((
The local fair charges a flat fee for admission plus an additional cost for ride tickets. Last year, Imran purchased 10
tickets and spent a total of $20. His friend, Anton purchased 21 tickets and spent a total of $36.50 at the fair. The
relationship between the # of tickets and total spent is linear. Algebraically determine the following:
a) The price per ticket.

b) The admission fee.

Answers

i'm really good at all kinds of math, but this doesn't make any sense.

Answer:

a.the price per ticket?

The height h and the base area B of a cylinder are given. Find the volume of the cylinder. Write your answer in terms of it. h=2 units B=25pi symbol square units​

Answers

here's the solution,

[tex] \boxed{\small{volume = area \: \: of \: base \: \: \times height}}[/tex]

so,

=》

[tex]v = 25\pi \times 2[/tex]

=》

[tex]v = 50\pi[/tex]

if you solve for π then the value will be :

157

but in terms of π the value will be :

50 π

The volume of the cylinder is 157 unit³.

What is volume?

The amount of space occupied by a three-dimensional figure as measured in cubic units.

Given: B= 25π, h= 2 units

Base area= 25π

πr²=  25π

r²=25

r=±5 units

Now, Volume of cylinder= πr²h

                                         = 3.14* 5* 5* 2

                                         = 157 unit³

Hence, the volume of cylinder is  157 unit³.

Learn more about volume of cylinder here:

https://brainly.com/question/16134180

#SPJ2

Laura lleno su pecera hasta la mitad 40 cm de altura 60 cm de ancho 20 cm dekargo cuanto espacio ocupa la pecera

Answers

Answer:

La pecera ocupa 48.000 centímetros cúbicos de espacio.

Step-by-step explanation:

Dado que Laura lleno su pecera hasta la mitad, y la misma mide 40 cm de altura, 60 cm de ancho y 20 cm de largo, para determinar cuánto espacio ocupa la pecera se debe realizar el siguiente cálculo, sabiendo que el volumen de un prisma rectangular surge de multiplicar su altura por su longitud y su anchura:

40 x 60 x 20 = X

2400 x 20 = X

48000 = X

Por lo tanto, la pecera ocupa 48.000 centímetros cúbicos de espacio.

Please answer quickly with explanation. I am in need of major help.


Suppose you work at a local radio station. You are in charge of a $180 budget for
new tapes and CDs. Record companies will give you 21 promotional (free) CDs. You
can then buy tapes for $8 and CDs for $12.
a. Write a linear inequality that models this situation.
Answer
b. Graph the inequality. Make sure to use proper scales and to label your axes

Answers

Answer:

0---22.5   and    21---36

Step-by-step explanation:

you will always have 21 free CDs so you can put a closed circle on 21 then you can have a max of 15 CDs (180/12) soo put another closed circle on 36

now time for tapes, which is easier, the minimum is 0 and the max is 22.5. Now put closed circles on each and you're done. Except that .5 might get you in trouble, use your own discretion on rather to leave it on the .5 or round. I don't know what your teacher is looking for so I will let you decide.

PLSSSSS HELPPPPP REWARD BRAINLEISTTT

Answers

ANSWER:

number 1 is D, it moves to the right 4 times

number 2 is B, its a vertical stretch of 2

3 feet
4 feet
inches
6 inches
Is Inches
What is the volume, in cubic feet, of the
cement used to make the steps? Show or
explain all of the steps you used to determine
your answer.

Answers

Answer: 12 for the main square

Step-by-step explanation:

take the 4 and the 3 and multiply it, makes 12. you see how each stair is 6 inches and there is 3 full steps which makes it 1.50 feet. 12 x 1.50 is 18. that makes your main square. I'm sorry but I cant really help you with the steps but that was also confusing to me.


Rectangle JKLM is shown.
To the nearest tenth of a
entimeter, what is the distance from j to M?
A
5.0 cm
B
10.2 cm
С
15.3 cm
D
21.0 cm

Answers

Answer:

B

Step-by-step explanation:

We can use the Pythagorean theorem to solve this.

(13)^2 = (8)^2+x^2

169 = 64 + x^2

x^2 = 105

x is approximately 10.2, so B

How much change did she receive?

Answers

Answer:b ryry

Step-by-step explanation:

Answer:

8.67dollars

Step-by-step explanation:

20-3.25-3.79-4.29=8.67

one solution of x^2 - 64 = 0 is 8. what is the other solution​

Answers

Answer:

- 8

Step-by-step explanation:

Given

x² - 64 = 0 ( add 64 to both sides )

x² = 64 ( take the square root of both sides )

x = ± [tex]\sqrt{64}[/tex] = ± 8

Solutions are x = 8 and x = - 8

Substitution
y=7x+3 ​

Answers

Answer:  x= 1/7 y + -3/7

Step-by-step explanation:

y=7x+3

Step 1: Flip the equation.

7x+3=y

Step 2: Add -3 to both sides.

7x+3+(−3)=y+(−3)

7x=y−3

Step 3: Divide both sides by 7.

The circumference of a circular painting is 43.96 feet. What is the diameter of the painting? Use 3.14 for π and do not round your answer.

Answers

Answer:

14 feet

Step-by-step explanation:

c = πd

Plug in the givens

43.96 = 3.14d

Divide both sides by 3.14

14 = d

Answer:

Diameter = circumference ÷π

43. 96÷3. 14 =14 feet

The fun guys game rental store charges an annual fee of $5 plus $5.50 per game rented. The game bank charges an annual fee of $20 plus $2.50 per game. for how many game rentals will the cost be the same at both stores?​

Answers

Answer: 5


You would need to buy 5 game rentals for the cost to be the same at both stores
Answer :


5 i just wanted to answer

1) Sales tax in Pennsylvania is 6%. Carlos bought a mountain bike that costs $125.50 before tax. What was the cost of the new bike including sales tax? ​

Answers

Answer:

I’m pretty sure the answer is 113.03

Raylin went to the park with her friends and found a soccer ball. She picked up the soccer ball and kicked it as high as she could. The path of the ball can be represented by h= -16t2 +27t+3

What is the maximum height of the soccer ball? _______________________

How long will it take the ball to reach the ground?

Answers

Answer:

The maximum height is: [tex]h(t_{max})=14.39 \: u[/tex]  

The ball reaches the ground in 1.79 s.

Step-by-step explanation:

We need to take the derivative and equal to zero to find the time at the maximum height.

[tex]h(t)=-16t^{2} +27t+3[/tex] (1)

[tex]\frac{dh(t)}{dt}=-32t +27=0[/tex]

[tex]t_{max} =\frac{27}{32}[/tex]

[tex]t_{max} =0.84\: u[/tex]

Now, we just need to put t(max) into equation (1) to find h(max)

[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]

[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]

[tex]h(t_{max})=14.39 \u[/tex]  

If we want to get the time when the ball reaches the ground we just need to equal h(t) to zero.

[tex]0=-16t^{2} +27t+3[/tex]

Let's solve this quadratic equation.

We will get two solutions and we must choose the positive value.

t1 = 1.79 u

t2 = -0.10 u

Therefore, the ball reaches the ground in 1.79 u.

I hope it helps you!    

PLEASE HELP I AM BEGGING YOU EXTRA POINTS AND BRAINLIEST I DONT UNDERSTAND NO WORK JUST ANSWER :)!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

1.    x > -3

2.    8 > 0.5

3.    x < -4

6. x < 2

7. Yes

8. No

9. Yes

10. Yes

1. p=packs of gum

inequality = 35 > 10+2p

Benny can buy 6 packs of gum.

last month you spend $50 on clothing this month you spend 110% of what u spend last month

Answers

Answer:

If you spend 110% more you would have spent 105 dollars. 110 percent of 50 is 55 so I added that to the orginal amount to get what you would have spent if you spent 110 percent more


Anita's father is 5 ft. 9 in. tall, How many inches tall is anita's father​

Answers

Answer:

He would be about 69 inches

Answer:

69 inches tall

Step-by-step explanation:

add 5ft = 60 inches + the other 9 inches which is

69 inches all together

A circle with its dimensions, in centimeters (cm), is shown.
What is the area, in square centimeters, of the circie?

Answers

Answer:

50.27

Step-by-step explanation:

help!!!!!! algebra 1

Answers

Answer:

f(8) = 195

Step-by-step explanation:

When the x if f(x) is replaced with an 8, this just means that it is the eighth term. All you really have to do is replace every X in the function to find the answer.

f(8) = 3 + 3(8)²

f(8) = 3 + 3(64)

f(8) = 3 + 192

f(8) = 195

Hope this helps!

Answer:

195

Step-by-step explanation:

plug 8 =x into the equation

i really don't get it

Answers

Answer:

D

Step-by-step explanation:

I don't know how to do it I used an app

The answer will be D hope this helped

Select all the sets of conditions that will create only one unique triangle.

Answers

You have to post a picture
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