Which quadratic equation has roots-8 + 3i and -8 - 3i?
A x^2 - 16x + 73 = 0
B x^2 - 16x + 79 = 0
C x^2 + 16x + 79 = 0
D x^2 + 16x + 73 = 0

Answers

Answer 1

The two roots are

[tex]\alpha = -8+3i,~~~ \beta = -8-3i\\\\\\x^2 - (\alpha + \beta)x + \alpha \beta = 0\\\\\implies x^2 - (-8+3i-8-3i)x + (-8+3i)(-8-3i)=0\\\\\implies x^2 +16x + (-8)^2+3^2 =0\\\\\implies x^2 +16x +64+9=0\\\\\implies x^2 +16x +73[/tex]

Hence the answer is D.


Related Questions

What is the better buy?
16 oz of goldfish for $4.75
9 oz of goldfish for $2.50

Answers

Answer:

Maybe 9 oz, if I’m wrong sorry! D:

Can someone please help me

Answers

Answer:

Answer for question 16 $24.64

Answer:

$3.36

17. 31%

18 $ 24.50

Step-by-step explanation:

28 x 0.12 = $3.36

17. 484 - 333.96 = 150.04

What percentage is 150.04 of 484

X/100 = 150.04/484 (% / 100 = is/of)

= 31%

8. 35 x 0.30 = 10.50

$35 - $10.50 = $24.50

rewrite the expression 44 + 32 + 112 using the distributive property​

Answers

Answer:

4(11+8+28)

Step-by-step explanation:

44 + 32 + 112

4(11+8+28)

I found the GCF of all three numbers.

Hope this helps :)

plz help very easy i pormise

Answers

Answer:

8/90

Step-by-step explanation:

hope this helps

Answer:

It's 38/45

Step-by-step explanation:

I don't really have a step-by-step explanation. I just looked it up! ;) good luck

The school football team is hosting a fundraiser dinner. Tickets are $20 for adults, $15 for seniors, and $6 for children. The expression 20a + 15s + 6c represents the total sales for a adult, s senior tickets, and c child tickets. Mariel sold 6 adult, 4 senior, and 8 child tickets.

20a + 15s + 6c = 20 (6) + 15 (4) + 6 (8) = ? + ? + ?

Answers

20(6) + 15(4) + 6(8)
120 + 60 + 48
228

How would I write 129.701 in expanded form

Answers

100+20+9+0.7+0.1 i think goodluck


Help asap will give 40 points

Answers

Answer: 1/3

Step-by-step explanation:

PLEASE HELP!!
Guys please help i need this

Answers

Answer:

Because they are both base angles of isosceles triangles

A restaurant has an electronic system that randomly selects customers when they pay for their meal to receive a coupon for their next visit. Each customer has a 10\%10%10, percent probability of being selected to receive a coupon, and one customer being selected or not doesn't affect whether or not another customer will be selected.
Suppose that 222 customers pay for their meals, one after the other.
What is the probability that NEITHER customer is selected to receive a coupon?
Round your answer to two decimal places.

Answers

Answer:

Step-by-step explanation:

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

-36.12 divided by -5 3/5

Answers

[tex] - 36.12 \div - 5 \frac{3}{5} \\ - 36.12 \div - \frac{28}{5} \\ = 6.45[/tex]

- BRAINLIEST answerer

Solve
-4(-2)

A. -8

B. -6

C. -2

D. 8

Answers

Answer:

D

..............................

Y=2x+9
Y=6-x
Solve the system of linear equations by

Answers

Answer: (-1,7)

If you just set them equal to each other by the process of substitution, the equation would look like:

6-x=2x+9
6=3x+9
-3=3x
x= -1

Then solve for y by substituting the x value:

Y=6-(-1)
Y=7

So, your answer would be (-1,7)

deleteddddddddddddddddd

Answers

Answer:

i do not think it is possible to delete a question after you have posted it. if i were you i probably would have just edited it and save myself the emmbarasment

Step-by-step explanation:

Use set notation to write the members of the following set, or state that the set has no members. Odd numbers between 2 and 82 that are multiples of 9

Answers

Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,

[tex]D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}[/tex]

The odd multiples of 9, [tex]m[/tex], in the range [tex]2\le m \le 82[/tex] form the set

[tex]\{9,27,45,63,81\}[/tex]

Each member of the set is a term of the arithmetic progression

[tex]U_n=18n+9[/tex]

where the values of [tex]n[/tex] range from 0 to 4, or [tex]0\le n\le 4[/tex]

Putting these facts together, we get the result

[tex]D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}[/tex]

Learn more about set-builder notation here: https://brainly.com/question/17238769

Suppose y = sqrt 2x+1, where x and y are functions of t.
(a) If dx/dt = 9, find dy/dt when x = 4.
(b) If dy/dt = 3, find dx/dt when x = 40.

Answers

If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives

dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt

(a) If dx/dt = 9 and x = 4, then

dy/dt = 1/√(2•4 + 1) • 9

dy/dt = 1/√(8 + 1) • 9

dy/dt = 1/√9 • 9

dy/dt = 9/3

dy/dt = 3

(b) If dy/dt = 3 and x = 40, then

3 = 1/√(2•40 + 1) • dx/dt

3 = 1/√(80 + 1) • dx/dt

3 = 1/√81 • dx/dt

3 = 1/9 • dx/dt

dx/dt = 27

solve using quadratic formula
6x^2-x=2

Answers

[tex]6x^2-x=2\implies 6x^2-1x-2=0 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{-1}x\stackrel{\stackrel{c}{\downarrow }}{-2}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}[/tex]

[tex]x = \cfrac{ -(-1) \pm \sqrt { (-1)^2 -4(6)(-2)}}{2(6)}\implies x = \cfrac{1\pm\sqrt{1+48}}{12} \\\\\\ x = \cfrac{1\pm\sqrt{49}}{12}\implies x = \cfrac{1\pm 7}{12}\implies x = \begin{cases} \frac{8}{12}\to &\frac{2}{3}\\[1em] -\frac{6}{12}\to &-\frac{1}{2} \end{cases}[/tex]

Should the United States return to a gold standard? Why?

Answers

Answer:

No

Step-by-step explanation:

If the U.S goes in a gold standard it can put the whole state in a crises

On October 1, Organic Farming purchases wind turbines for $140,000. The wind turbines are expected to last six years, have a salvage
value of $20,000, and be depreciated using the straight-line method.
1. Compute depreciation expense for the last three months of the first year.
2. Compute depreciation expense for the second year.

Answers

9514 1404 393

Answer:

$5000$20,000

Step-by-step explanation:

1.

The annual depreciation is the predicted change in value each year. The change in value for 6 years is predicted to be ...

  $140,000 -20,000 = $120,000 . . . . loss of value in 6 years

3 months is 1/4 of one year, so the loss of value in that time period is ...

  $120,000/6 × 1/4 = $5000

The depreciation expense for the last 3 months of the first year is $5000.

__

2.

The depreciation expense for the second year is ...

  $120,000/6 = $20,000

1,200×30%×25%×3% lempiras

Answers

Answer:

2.7

Step-by-step explanation:

1200x 30/100×25/100×3/100=2.7

In what time will $1000 amount to $1331 at 10% per annum, compounded annually?​

Answers

The time is 3 years


Step by step explanation:
Answer:

3 Years

Step-by-step explanation:

Compound interest is a multiplier that affects the new value each time.

If the compound interest is 10% per annum, the multiplier each year is 1.1.

Year 1: $1000 * 1.1 = $1100

Year 2: $1100* 1.1 = $1210

Year 3: $1210* 1.1 = $1331

This means that it will take 3 years for $1000 to amount to $1331 at 10% per annum.

Alternatively, you can use a logarithm. The calculation can be written as:

1000 * [tex]1.1^n[/tex] = 1331, where n is the number of years.

Rearranged, this gives [tex]1.1^n[/tex] = 1331/1000 or [tex]1.1^n[/tex] = 1.331.

A logarithm can work out the value of n, and is written in the form log1.1(1.331), which gives a value of 3.

2-2 this is a freebie for points guys

Answers

Answer:

2-2=0

Step-by-step explanation:

You have 2 cookies and you give it to 2 friends.

Answer:

0

Step-by-step explanation:

According to the Laws of Physics, yeah I don't wanna try explaining this

What’s the slope of 10,6 and 4, 1.2

Answers

let's firstly change the 1.2 to a fraction

[tex]1.\underline{2}\implies \cfrac{12}{1\underline{0}}\implies \cfrac{6}{5} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{\frac{6}{5}}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{6}{5}}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{10}}}\implies \cfrac{~~ \frac{6-30}{5}~~}{-6}\implies \cfrac{~~ \frac{-24}{5}~~}{-6}\implies \cfrac{~~ -\frac{24}{5}~~}{-\frac{6}{1}}[/tex]

[tex]-\cfrac{\stackrel{4}{~~\begin{matrix} 24 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{5}\cdot -\cfrac{1}{\underset{1}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \boxed{\cfrac{4}{5}}[/tex]

will give 25 points if right

Answers

The slope of the equation is 1/6

Answer:

1/6

Step-by-step explanation:

When the equation is in the form "y = mx + b", m is the slope. This linear line has a slope of 1/6 and a y-intercept of -1/2.

A store sells six cupcakes for $7. How much do 18 cupcakes cost?

Answers

Answer:

21 cupcakes

Step-by-step explanation:

6 = $7

18 = 6 x 3

18 = 7 x 3

18 = $21

Answer:

21

Step-by-step explanation:

We can use proportions to solve

6 cupcakes        18 cupcakes

------------------- = -----------------

7 dollars               x dollars

Using cross products

6x = 7* 18

6x =126

Divide by 6

6x/6 =126/6

x =21

Elizabeth recently bought a new bike, and she has started biking to and from work. The
round-trip distance is 9 kilometers.
Write an equation that shows the relationship between the number of round trips, x, and
the total number of kilometers Elizabeth has biked, y.

Answers

Answer:

the answer is  9x

Step-by-step explanation:

y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that,

Elizabeth recently bought a new bike, and she has started biking to and from work.

The round-trip distance is 9 kilometers.

We need to find an equation that shows the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

y=9x

Hence y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Ryan drove 205 miles in 5 hours. If he drove at a constant rate, how far did he travel in one hour?

Answers

Answer: 41 miles

Step-by-step explanation:

Answer:

41 miles

Step-by-step explanation:

41 miles in a hour rate.

1. Andrea’s car has broken down for the third time this month, and she has decided to buy a different car. Her dream car, a 2016 Chevrolet Camaro, costs $38,000. She has a $4,000 down payment saved, and the bank is offering 3.00% APR on 60 month loans for new cars.

a. How much will Andrea need to borrow to buy the Camaro?

b. What would Andrea need to type in Excel to figure her monthly payment, and what will her monthly payment be?

c. What will the total of all of Andrea’s payments be over the lifetime of the car loan?

d. How much will Andrea pay in interest over the lifetime of the car loan?

Answers

A) Andrea will need to borrow $34,000 to buy the Camaro

B) Andrea will need to type =(34000x1.03 ^ 5) / 60 in Excel to figure her monthly payment, which will be $656,92.

C) The total of all of Andrea’s payments be over the lifetime of the car loan will be $39.415,31

D) Andrea will pay $5415.31 in interest over the lifetime of the car loan

Since Andrea's car has broken down for the third time this month, and she has decided to buy a different car, and her dream car, a 2016 Chevrolet Camaro, costs $ 38,000, and she has a $ 4,000 down payment saved, and the bank is offering 3.00% APR on 60 month loans for new cars, to determine A) how much will Andrea need to borrow to buy the Camaro; B) what would Andrea need to type in Excel to figure her monthly payment from her, and what will her her monthly payment be from her; C) what will the total of all of Andrea’s payments be over the lifetime of the car loan; and D) how much will Andrea pay in interest over the lifetime of the car loan, the following calculations must be performed:

A) 38000 - 4000 = X 34000 = X

B) = (34000x1.03 ^ 5) / 6039.415,31 / 60656,92

C) 34000 x 1.03^5 = X34000 x 1.1592 = X39.415,31 = X

D) (34000 x 1.03^5) - 34000 = X(34000 x 1.1592) - 34000 = X39415.31 - 34000 = X5415.31 = X

Learn more in https://brainly.com/question/14295570

$32.00for a 14 2/9 km taxi ride. What is the cost per kilometer

Answers

[tex]\begin{array}{ccll} \$&km\\ \cline{1-2} 32&14\frac{2}{9}\\[1em] x&1 \end{array}\implies \cfrac{32}{x}=\cfrac{14\frac{2}{9}}{1}\implies \cfrac{32}{x}=14\frac{2}{9}\implies \cfrac{32}{x}=\cfrac{14\cdot 9+2}{9} \\\\\\ \cfrac{32}{x}=\cfrac{128}{9}\implies 288=128x\implies \cfrac{288}{128}=x\implies \stackrel{~\hfill \textit{2 bucks and 25 cents}}{\cfrac{9}{4}=x\implies 2\frac{1}{4}}=x[/tex]

which graph be represents the soulution set of y[tex]\leq[/tex]3/4x-4?

Answers

the graph would intercept at (0,-4) on the y-axis & at (5.3,0) on the x-axis. And the shaded region would be on the right side of the line on the graph.

HELP ASAP PLSSSSS I NEED IT

Answers

Answer: B) 5/24

========================================================

Explanation:

The notation [tex]P(\text{blue, not 2})[/tex] is asking for the probability of landing on a blue space and having the dice show a value that isn't 2. That means we can roll any of the following: {1,3,4,5,6}.

The probability of landing on blue is 1/4 since there's one blue space out of four total. This is assuming all four spaces are equal in area. The probability of landing on anything but "2" is 5/6 because there are five sides that aren't labeled "2" out of six sides total.

Multiply the fractions found: (1/4)*(5/6) = (1*5)/(4*6) = 5/24

Other Questions
Can someone please explain this to me please? Will give brainly if you actually answer the question A boat is headed north at a velocity of 8 km h-1. A strong wind is blowing whose pressure on the boats superstructure causes it to move sideways to the west at a velocity of 2 km h-1. There is also wave present that flows in a direction 30 south of east at a velocity of 5 km h-1. What is the velocity of the boat? how do you solve something like this? what is mimicry in biology help only answer if you know!!!!Subtract.18 7/129 4/1288 1/399 1/4 Stretching should be performed how many days a week?a. 7 days a week b. whenever you feel like it c. at some point during every cardio or strength training routine d. once a week write a few sentences about the grand manner style and how it differed from mannerism? Garrison implies that enslavers and those who do nothing toend enslavement place profit over moral, spiritual, and patriotic values.Which detail from the speech best conveys this idea?(A) "Numerically, the contest may be an unequal one,for the time being, but the author of liberty and thesource of justice, the adorable God, is more thanmultitudinous, and he will defend the right."(B) "And what about the lessons taught us by Pilgrim Fathers and Revolutionary Sires, at Plymouth Rock on Bunker Hill, at Lexington Concord and Yorktown, notwithstanding our Fourth of Julycelebrations and ostentatious displays of patriotism?"(C) "The wealth the enterprise the literature theO politics, the religion of the land are all combined togive extension and perpetuity to the Slave Power.(D) My fanaticism is that I insist on the American people abolishing slavery or ceasing to talk endlessly about the rights of man. help me plzzz i really need the help who ever help me would really make my day rn _ _ _ (ToT) Which is the better deal? $39.55 for 7 pairs of jeans OR $22.48 for 4 pairs of jeans (Psychology) Describe metalinguistic awareness. 56 - 8 (1/4+2 / 1-3/5)Simplify the complex fraction in the given expression. Simplify the complete expression. Help its on reading What multiplication tables should every student memorize. Is this the right answer? Select the correct text in the passage. In this speech by Patrick Henry, he tries to convince his fellow Virginians that they should oppose the British government and become independent. In which set of sentences does he most clearly state his commitment to seeking independence? Suppose a binomial trial has a probability of success of 0.7, and 75 trials are performed. What is the standard deviation of the possible outcomes. Round your answer to two decimal places At a distance of 1 cm from the source, the flux from the isotropic source is one hundred times brighter. Which source is brighter fifty centimeters away Your brother rarely filters his observations and often makes insensitive comments thatoffend others. What skill does he need to work on?eda. Code-switchingb. Self-monitoringc. Multimodalityd. Circumscribing What is challenging about poetry?