Carl is deriving the quadratic equation by completing the square. His work at one of the steps is shown. x + b/na = + or - b^2-4ac. Carl is not sure what the value of n is. What value should he use to continue deriving the quadratic equation correctly? A. 1 B. 2 C. 3 D. 4

Answers

Answer 1

Answer:

the correct option is B. 2

Step-by-step explanation:

As given,

x + [tex]\frac{b}{na}[/tex] = ± √b²-4ac

⇒x = -[tex]\frac{b}{na}[/tex] ± √b²-4ac

As e know that the quadratic formula is

x = [tex]\frac{-b + or - \sqrt{b^{2} - 4ac } }{2a}[/tex]

So , by comparing with the formula

we get

n = 2

So, the correct option is B. 2


Related Questions

Last year, Michael opened an investment account with $5400. At the end of the year, the amount in the account had decreased by 23.5%. How much is this
decrease in dollars? How much money was in his account at the end of last year

Answers

He would have $4131 left from $5400 with a decrease with 23.5%

How tall is the bullding in the picture shown?
66 in.
36 ft
8 ft
4.36 ft
52.36 ft
24.75 ft
297 ft

Answers

Answer:

24.75FT

Step-by-step explanation:

The triangles in the picture are similar meaning that 36/8=4.5

66inches into ft = 3.5

3.5x4.5=24.75

Answer: C. 24.75 ft

Step-by-step explanation:

• Set up the proportion.

• Cross multiply.

• Complete the multiplication on the left side.

• Divide both sides by 100.

• Complete the divisions on both sides.

(-3, -14) and (0, -9)

Answers

Answer: -26

Step-by-step explanation: hope this helps :)

This is for today help!!!!

Answers

Answer:

Part A 73  Part B 113

Step-by-step explanation:

Solve the system of equations 2x - 2y = - 14 and 2x + 6y = - 6 by combining the equations.

Answers

sorrryy I don't know how to delete this so...

Step-by-step explanation:

step 1. first combine by subtraction.

step 2. 0x -8x = -8

step 3. y = 1

step 4. x = -6.

step 5. the answer is (-6, 1).

Proving trapezoid theorems Geometry

Answers

Answer:

ΔABD ≅ ΔACD by SAS, therefore;

[tex]\overline {BD} \cong \overline {CA}[/tex] by CPCTC

Step-by-step explanation:

The two column proof is presented as follows;

Statement [tex]{}[/tex]                   Reason

ABCD is a trapezoid [tex]{}[/tex]  Given

[tex]\overline {BA} \cong \overline {CD}[/tex]  [tex]{}[/tex]                   Given

[tex]\overline {BC} \parallel \overline {AD}[/tex]   [tex]{}[/tex]                   Definition of a trapezoid

ABCD is an isosceles trapezoid  [tex]{}[/tex]    Left and right leg are equal

∠BAD ≅ ∠CDA  [tex]{}[/tex]          Base angle of an isosceles trapezoid are congruent

[tex]\overline {AD} \cong \overline {AD}[/tex]   [tex]{}[/tex]                  Reflexive property

ΔABD ≅ ΔACD   [tex]{}[/tex]         By SAS rule of congruency

[tex]\overline {BD} \cong \overline {CA}[/tex]   [tex]{}[/tex]                  CPCTC

CPCTC; Congruent Parts of Congruent Triangles are Congruent

SAS; Side Angle Side rule of congruency

Answer:

Step-by-step explanation:

just did it

can someone please help? i’ll mark brainliest!!

Answers

Answer:

z+5 z+2 Z i think

Step-by-step explanation:

the lenght is longer to shorter

Answer:

angle # > angle * > angle $

Step-by-step explanation:

Since z + 5 > z+ 1 > z

So, angle # > angle * > angle $ (Angle opposite to greater side is greater and opposite to smallest side is smallest)

Find the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest hundredth, if necessary.

Answers

Step-by-step explanation:

Given

diameter (d) = 9 ft

radius (r) = 9/2 = 4.5 ft

Area of the circle

= πr²

= 3.14 * ( 4.5) ²

= 3.14 * 20.25

= 63.585

= 63.59 ft

Hope it will help :)


Carla has 10 fewer books than Dominic.
Create an expression to represent the number of books that Carla has, wher
x is the number of books Dominic has. 4.9

Answers

Answer:

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Step-by-step explanation:

Just look at the picture please fast I WILL MAKE BRAINLIEST!!!!!!!!

Answers

Answer:

A (-3,0) B (0,-1) C (1,-4)

Step-by-step explanation:

HELP ASAP!!! I WILL CHOOSE YOU THE BRAINLIEST!!!! PLEASE

Answers

Answer:

K is the independent value.

Step-by-step explanation:

For K, you can plug in any value, so it is independent, but T will always have to follow the value of K.

(The X axis is always independent, and the Y axis is always dependent.)

If you want me to do the "Complete the sentence", please tell me the options in the comments.

Answer:

t is the independantt variable and K is the dependant variable...

Smaller? Or less than...

I dont know..

Step-by-step explanation:

hope I helped.. can I have brainliest please? hee hee

A and B together complete a work in 20days. They worked together for 5days and B leaves. How long will A takes to finish the remaining work if A alone can finish the work 36days.

Answers

Answer:

27 days

Step-by-step explanation:

A alone, rate per day = 1/36

A and B together, rate per day = 1 / 20

Total Workdone for 5 days :

1/ 20 * 5 = 5 / 20 = 1/4

Fraction of work left :

1 - 1/4 = 3/4

3 / 4 * 36 /1

= (3 * 36) / 4

= 108 / 4

= 27 days

can someone help me out?
"match each equation with its three solutions"​

Answers

Answer:

Step-by-step explanation:

A. (1)

B. (4)

C. (2)

D. (5)

E. (3)

Num projeto, o desenho de um jardim tem a forma de um triângulo retângulo onde a hipotenusa mede 4,5 cm. A escala utilizada foi de 1:200. Qual é o comprimento real desse lado do jardim (hipotenusa)? Apresenta a resposta em metros.

Answers

Answer:

9 metros

Step-by-step explanation:

Da pergunta acima

Fator de escala =

Medida correspondente: Representação do objeto

= 1: 200cm

Conseqüentemente:

1 cm = 200 cm

4,5 cm = x cm

x cm = 4,5 × 200 cm

x cm = 900 cm

O comprimento real deste lado do triângulo (hipotenusa) = 900cm

Pediram-nos para converter para metros

100cm = 1 m

900cm = xm

Multiplicação cruzada

100 cm × xm = 900 cm × 1 m

xm = 900 cm × 1 m / 100cm

xm = 9m

O comprimento real deste lado do triângulo (hipotenusa) em metros = 9 metros


HELLPPP ASAP PLEASEEE!!!

Answers

Answer:

angle G = 64.9 is because the sum of interior angle is 180

PLEASEEE HELPPP me!!!!!

Answers

Since you have 2/3 and after you give the bus driver chocolate you have 1/3 left, then you have the bus driver 1/3 because 1/3+1/3 equals 2/3. So you give the bus driver 1/3

in sandy religious, a doodlebug digs a cone shaped pit to trap other insects. A typical pit has a radius of 1 inch and depth of 2 inches approximately how much sand would a doodle bug move to create the pit?
( PLEASE HELP ASAP)

Answers

Answer:

its c

Step-by-step explanation:

i took the test and got 100

It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music.

Complete the table showing three ways Jada can spend $15 downloading individual songs and albums.


What belongs in cell A?

Answers

Answer:

1 album

Step-by-step explanation:

it would take along time to explain but i did the work i promise

I think it’s 2 over 1 but I’m not sure??

Answers

Answer:

it is 2/1

Step-by-step explanation:

what is the distance between-2 and -5 on the number line?

Answers

Answer:

3

Step-by-step explanation:

on a number line, we use the absolute values to find the difference.

the absolute value of -2 is 2

the absolute value of -5 is 5

5-2=3

so, the distance between -2 and -5 on a number line is 3

Can someone help me with this answer thank you

Answers

The original cost for the shirt was $105 and the original cost for the shoes was $140. There are only 2 steps. Hope this helps

Answer: bro cmon this is simple m8 but i will still help :D

Step-by-step explanation:35x3=105 and 28x5=140 the outfit couldve been 245 dollars in total!

A model car is 7.5 inches long made with a scale of 2 inches = 48 inches. How long is the actual car?
a) 15
b) 20
c) 180
d) 360
WILL MARK BRANLIEST!

Answers

Answer:

I'm pretty sure its 180 !!

Find the area of this obtuse triangle​

Answers

The correct answer is 49!

Paul will pay for his new car in 36 monthly payments. If his car loan is for $20,538 then how much will Paul pay each month?

Answers

Answer:

570.50

Step-by-step explanation:

I think it's the correct answer maybe it is maybe it's not

Paul has acquired a car loan of amount $20,538 and is paying off the loan amount in 36 months.  

This means that Paul will be paying $570.50 every month till the completion of 36 months.

The given parameters for the calculation of the monthly installment:

Loan amount= $20,538 Total months to repay the loan= 36 months

Calculation of the monthly amount of Paul's loan:

[tex]\begin{aligned}\text{Monthly installment of loan}= \frac{\text{Total Amount of Loan Acquires}}{ \text{Total Time taken to Repay off the Loan}} \end{aligned}.[/tex]

[tex]\begin{aligned}\text{Monthly Installment of Loan}= \frac{\$20,538}{36}\end{aligned}[/tex]

[tex]\begin{aligned}\text{Monthly Installment of Loan}=\$570.50\end{aligned}[/tex]

Therefore, the monthly installment of paul will be $57.50.

To know more about the calculation of installment, refer to the link below:

https://brainly.com/question/84351

A bicycle has a listed price of $706.95 before tax. If the sales tax rate is 9.75%, find the total cost of the bicycle with sales tax
included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

Step-by-step explanation:

we will calculate first the sales tax

706.95*(9.75/100)=68.93

706.95+68.93= $775.88

Melanie earns $7.40 per hour working at a grocery store. She works 14.25 hours this week. How much does she earn this week?

Answers

She earns $105.45 this week.

Answer:

$105.45

Step-by-step explanation:

$7.40 x 14.25 = $105.45

She earns $105.45 after working for 14.25 hours.

X+ 6
X+ 3
=
x + 2
x-5
a.
I = x
c.
X= -9
b.
S = x
d. x= -8

Answers

Step-by-step explanation:

x+6/x+2=x+3/x-5 x<>2 and x<>5

(x+6)(x-5)=(x+3)(x+2)

x2-5x+6x-30=x2+2x+3x+6

-5x+6x-30=2x+3x+6

x-30=5x+6

x-5x=6+30

-4x=36

x=-9

Note* x2=x in the power of 2

You can upgrade lighting at your factory to LED bulbs that coast 6.95 each and last an average of 5 years.

Answers

Answer:

$200

Step-by-step explanation:

Here is the full question

You can upgrade lighting at your factory to LED bulbs that cost $6.95 each and last an average of 5 years. It costs $3 in labor to change a bulb. Over a 10-year period, about how much will it cost per year to install LED bulbs in 100 lamps and change the bulbs when they burn out?

in 10 years, the bulbs would be changed twice

Total cost incurred per bulb in 10 years = (6.95 +  $3) x 2 = $19.90

Since there are 100 bulbs, total cost incurred would be - $19.90 x 100 = $1990

Cost per year = $1990 /  (6.95 +  $3) = $200

what is m



A.
B.
C.
D.

Answers

Answer: .B.

Step-by-step explanation

Two lines A and B are parallel if both lines are rotated 90° in the same direction and then translated to the right by the same number of units which statement about the lines resulting from these transformations is true

Answers

Answer:

A' and B' will be parallel. (See Explanation)

Step-by-step explanation:

Given

Parallel lines: A and B

Rotation: 90° same direction

Translation: Right (same units)

Required

Describe the result of the transformation

No options were given. So, I will answer on general terms.

From the question, we can see that, the same transformation that was performed on line A was also done on line B.

This means that both lines will maintain the initial relationship between them.

Initially, A and B are parallel.

After the transformation, A' and B' will be parallel.

Answer:They will be the same line

Step-by-step explanation:I did this on my test it’s correct

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