One root of a quadratic that has real coefficients is 2-3i. What is the other root?

Answers

Answer 1

Answer:

2+3i

Step-by-step explanation:

imaginary roots come in pairs

Answer 2
The answer to this question is (2+3i)

Related Questions

Lara is x years old and her two best friends are (x-2) and (x+2). Write an expression for the square of Lara’s age and the product of ages of Lara’s best friends.

Please help with a detailed step by step thanks

Answers

Answer: x^2 + (x+2)(x-2)

Step-by-step explanation:

The caret ^ before the 2 indicates that the 2 is an exponent. It means "x squared"

If the keyboard doesn't allow exponents the caret is the thing to use.

The expression for the square of Lara’s age and the product of ages of Lara’s best friends is x² + (x-2)(x+2)

The first thing to do is to calculate the square of Lara's age and this will be:

= x × x = x²

The product of the ages of Lara’s best friends will be (x-2)(x+2).

Therefore, the expression that can be used to calculate the square of Lara’s age and the product of ages of Lara’s best friends is x² + (x-2)(x+2)

Read related link on:

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what is EG and EF ( can you do number 9 too thank you

Answers

Answer:

EF = 32 in (Approx)

EG = 16 in (Approx)

Step-by-step explanation:

Given:

Side FG = 28 in

∠ E = 60°

Find:

EG = ?

EF = ?

Computation:

Using trigonometry application.

Sin 60° = FG / EF

√3/2 = 28 / EF

0.866 = 28 / EF

EF = 32.33

EF = 32 in (Approx)

Tan 60° = FG / EG

1.732 = 28 / EG

EG = 16.16

EG = 16 in (Approx)

*PLEASE ANSWER* The volume of this fish tank needs to be doubled.

Answers

Answer:

Of course the answer is 2.

It says 'Double'!

The required scale factor is 2 in a manner to double the volume of the fish tanks. Option A is correct.

The figure is shown of the fish tank, a scale factor to be determined that is applied to the dimensions so the volume becomes twice the former volume.


What is volume?

Volume is defined as the ratio of the mass of an object to its density.

The volume of the fish tank = v
Now new the volume of the new fish tank = 2v
Scale factor = New volume/old volume
                  =  2v/v
                  = 2

Since the scale factor is 2 the dimension of new fish tank should be doubled to get twice the volume of the old fish tank.

The required scale factor is 2 in a manner to double the volume of the fish tanks. Option A is correct.

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Eli is driving on a long road trip. He currently has 12 gallons of gas in his car. Each
hour that he drives, his car uses up 1.75 gallons of gas. How much gas would be in the
tank after driving for 4 hours? How much gas would be left after t hours?
Gas left after 4 hours:
Gas left after t hours: 1
I
Submit Answer
attempt out of

Answers

Answer:

I would be 7 gallons used and 5 gallons left

Step-by-step explanation:

multyply 1.75 times 4 hours equal 7 then 12-7=5 is the total of gallons left

Hope this helps

7 used and five left

PLEASE ANSWER ASAP The drama club is selling candles for a fundraiser. They spend $100 on the candles and sell them for $4.50 each. How many candles must they sell to make more than $125 profit? Let x represent the number of candles sold. Which inequality can you use to find x? 4.5x – 100 > 125 4.5x + 125 > 100 100 – 4.5x > 125 100 + 4.5x > 125

Answers

Answer: 4.5x-100 > 125

Step-by-step explanation: Each candle costs $4.50, which can be simplified to 4.5. To determine how much they will make from the candles, you want to multiply the cost of the candles (4.5) by how many candles are sold (x), and this is where the 4.5x comes from. We subtract 100, because that is how much they spent on the candles they are selling (profit means how much you make after expenses). Since they're trying to make MORE THAN $125 in profit, we use the > sign.

Answer:

So we know that they spend $100 on the candles. In order to make a $125 profit, they must sell $225 worth of candles. Each candle sells for $4.50, so: So we know that they spend $100 on the candles. In order to make a $125 profit, they must sell $225 worth of candles. Each candle sells for $4.50, so:

4.5x > 225 is the inequality for that. It just means $4.50 times the number of candles has to be more than the $225 we need. To simplify it, just divide both sided by 4.5:

x > 50

They have to sell more than 50 candles.


Select the equation of the line that passes through the point (5.7) and is perpendicular to the line x = 4.

Answers

The answer is y=7 because it makes more sense
The answer is y=7 because that’s the line that the point (5,7) is perpendicular to

What is the correct evaluation of x2 - y2 - z2, when x is equal to -2, y is equal to 3 and z is equal to 4?

Answers

Answer:

-18

Step-by-step explanation:

x2 - y2 - z2 if x=-2, y=3, and z=4

x2 - y2 - z2

(-2) 2 - (3)2 - (4)2

(-4) - (6) - (8)

-10 -8

-18

Answer:

18

Step-by-step explanation:

Identify the slope and y-intercept of the graph of the equation. y = 5/3 x -2

Answers

Answer:

Slope: [tex]\frac{5}{3}[/tex]

Y-intercept: -2

Step-by-step explanation:

Conveniently, this equation is already in slope-intercept form.

The slope is always the constant of proportionality, which we multiply x by.

Therefore the slope is  [tex]\frac{5}{3}[/tex].

The y-intercept is always the constant that comes after the x term, which is -2.

So the y-intercept is -2.

Hope this helped!

Answer:

Slope: 5/3

Y-intercept: -2

Step-by-step explanation:

Since your equation is already in slope intercept form, it makes it easier for you to identify the slope and y-intercept.

In your equation ([tex]y = \frac{5}{3} x -2[/tex]) the coefficient of 5/3 is your slope and your constant of -2 is your y-intercept.

Hope that helps and maybe earns a brainliest!

Have a great day! :)

PLEASE HELP!! Don't need explanation The Kellen school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table, where Low represents the fewest days attended and High represents the most days attended for a single student. School Low High Range Mean Median IQR σ High School W 108 180 72 169 150 47.5 29.5 High School X 112 180 68 160 124 49.5 32.4 High School Z 130 180 50 162 151 39.5 27.5 Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.

Answers

Answer:

you are very very correct good job

Step-by-step explanation:

what the hell is the answer

I’m confused do u need an explanation?

Question 12 Multiple Choice Worth 1 points)
(06.01 MC)
20
20
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11. The probability of the arrow landing on a section colored blue is 6. Whan
the probability of the arrow landing on a green-colored section?
O
20
O
20
о
9
20
17
20

Answers

Complete question:

A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 11 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?

Answer: 3/20

Step-by-step explanation:

From the question, the spinner is divided equally into sections painted with 3 different colors (RED, BLUE and GREEN)

Given that:

P(arrow landing on red) = 11 / 20

P(arrow landing on blue) = 6/20

The probability of arrow landing on green is therefore :

Sum of the probabilities of red and blue :

P(arrow landing on red) + P(arrow landing on blue)

= (11/20 + 6/20) = 17/20

Recall : The sum of probabilities of mutually exclusive events must sum up to 1. Therefore, since the events represented above are mutually exclusive, that is no two events can occur at the same time.

Then:

P(arrow landing on red) + P(arrow landing on blue) + P(arrow landing on green) = 1

Hence,

P(arrow landing on green) = 1 - [(P(arrow landing on red) + P(arrow landing on blue)]

P(arrow landing on green) = 1 - [11/20 + 6/20]

P(arrow landing on green) = 1 - 17/20

P(arrow landing on green) = 3/20

3/20

God bless u. Sorry if I’m wrong and I tried
My best

The following data points represent the number of points scored last basketball game by each player on the Dragons basketball team.

5,8,11,7,?

If the mean of the data set is 8 points, find the missing number of points.

Answers

Answer:

9

Step-by-step explanation:

There are 5 data points.  To find the mean, we add the data and divide by 5

(5+8+11+7+?) /5 = 8

Multiply each side by 5

(5+8+11+7+?) /5 *5 = 8*5

(5+8+11+7+?)  = 40

Combine like terms

? + 31 = 40

Subtract 31 from each side

? +31-31 = 40-31

? = 9

The missing number is 9

The missing number is 9.

Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 888 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 252525 by 646464 centimeters. Zach moved the existing sand to the new terrarium. How deep will the sand be in the new terrarium?

Answers

Answer:

The Sand Will Be 2 inches Dip

Step-by-step explanation:

240 h = 480

=> h  = 2

sorry if this didn't help :p

The answer is the sand with be 2 inches deep

help me plz can somewon help me

Answers

Answer:

The answer is 6x10^-4.

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 .

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer: Bottom left corner, [tex]6 \times 10^{-4}[/tex]

How to get this answer:

Place the decimal point after the 6 to get 6.0

The question is now "how do we go from 6.0 to get back to 0.0006?"

The answer is "move the decimal point 4 spots to the left". This movement of "move 4 left" means the exponent is -4. The negative because we moved to the left. The 4 indicates how many spaces we moved.

So we get the scientific notation value of [tex]6.0 \times 10^{-4}[/tex] which is the same as [tex]6 \times 10^{-4}[/tex] because 6.0 simplifies to 6

Find the lateral area of the following cone.
Leave your answer in terms of pi

Answers

Answer:

The lateral surface area of cone is A = π×r×l where r represents radius and l is slant height.

The formula to find slant height is l = (h²+r²) where h represents height.

The lateral surface area of the cone is 65[tex]\pi[/tex] square cm.

Given,

The height is 12 cm and the radius is 5 cm.

We are to find the lateral surface area of a cone.

What is the lateral surface area of a cone?

The lateral surface area of a cone:

A = [tex]\pi[/tex] x r x l

where r = radius and l = slant height.

The slant height:

l = √(h²+r²)  where h =height.

We have,

h = 12 cm and r = 5 cm

l =√(h²+r²)

l = √(12^2 + 5^2)

l = √(144 + 25)

l = √169

l = 13 cm

Now,

l = 13 cm and r = 5 cm

A = [tex]\pi[/tex] x r x l

A =  [tex]\pi[/tex] x 13 x 5 = 65[tex]\pi[/tex] square cm

Thus lateral surface area of the cone is 65[tex]\pi[/tex] square cm.

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If a person earned $32,000 a year and received $800 raise, what was the percent increase in her salary?

Answers

Answer:

Hey there!

This would be a 2.5% increase in salary.

Using the percent increase formula we find the answer to be a 2.5% increase.

Let me know if this helps :)

Answer:

2.5%

Step-by-step explanation:

((new - original) / original) * 100

328-320 = 8/320 = 0.025

0.025 * 100 = 2.5

IM SO CONFUSED SOMEONE HELPP!! is it A? i honestly don’t even know anymore bc everytime it says i’m wrong :(((((

Answers

Answer:

it is option b

Step-by-step explanation:

pls mark me brainliest

Answer:

Hey there!

The answer is B, because the range is the possible y values.

Let me know if this helps :)

PLEASE HELP WILL MARK BRAINLY

Answers

Answer:

460256

Step-by-step explanation:

35900 books equal to 7.8% of all copies sold

Total number of books:

7.8% = 35900100% = ?35900*100/7.8 ≈ 460256

Answer is 460256 in whole numbers

The answer of this is 460256


Ben deposited $2,700 in an account that pays 3.25% simple interest. He created a graph of his
account balance equation (A = Prt+P) with a slope of 8,775.

Answers

Step-by-step explanation:

His profit is 40%.

hope this helps

pls mark me brainliest

Answer:

40 percent i think

Step-by-step explanation:

hope its right

please put me brainlieeeeeeest

thxxx

Quick guys! I appreciate the help!!
Home depot provides truck rental services. Tom goes to Homedepot to rent a truck for his move. They
charge a flat rate of $50 dollars for renting services and $10 per hour the truck is out. Tom returned the
truck after 6.5 hours. What is the entire cost for the rental service?
Y=x($10)+$50
Y=cost to rent truck
X=how many hours rented

Answers

Here is our equation: y = 10x + 50

Where x represents the hours that Tom rented the truck, and y represents the amount that Tom will spend to rent the truck.

We want to find out how much it will cost if Tom rented the truck for 6.5 hours. So, we are looking and solving for y in this case, because we know that Tom rented the truck for 6.5 hours, or the x value. To solve, all we have to do is plug in 6.5 for x into our equation and solve for y.

y = 10(6.5) + 50

y = 65 + 50

y = 110

The entire cost for the rental service is $110.

Hope this helps! :)

Answer:

The answer is $110.

Step-by-step explanation:

To start, you should write out the information you know in an equation. You know that Home Depot charges a flat rate of $50, so this is your constant (which means it doesn't change throughout the problem). You also know that it cost $10 per hour to rent the truck. Using this information, you can write out your formula of y=10x+50.

Next, you are trying to figure out the total cost, y, when Tom rents the truck for 6.5 hours. To do this, all you have to do is plug in 6.5 for x. This will give you y=10(6.5)+50. When you simplify this, you get y=65+50, so y=$110.

Which statements could he include in his explanation? Select two options.

The domain of both functions is all real numbers.
The domain of f(x) is x > 5.
The domain of g(x) is x > 5.
The range of f(x) is y > 0.
The range of g(x) is y > 0.

Answers

Answer:

The domain of fx is x>5

The domain of gx is x>5

The statements could he include in his explanation are

a. The domain of fx is x>5.

b. The domain of gx is x>5.

What is the function?

A function is defined as a relationship between a set of inputs and a single output. A function is an input-output relationship in which each input corresponds to exactly one output.

A function is a sort of rule that generates a single output for a single input. The image was given by Alex Federspiel. A good example is y=x2. You will only get one output for y if you enter anything for x. We can say that y is a function of x because x represents the input value.

Both functions are real numbers, so, f(x) is x > 5 and g(x) is x > 5 will be correct.

Therefore, the correct options are, a. The domain of fx is x>5 and b. The domain of gx is x>5.

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Please help! Solve for x: -4x - 3/5 = 1/3 4x + 3/5 = 1/3 Please include a step-by-step explanation. Thank you!

Answers

Answer:

-4(-7/30)-3/5=1/3  

4(-1/15)+3/5=1/3

Step-by-step explanation:

1. -4x-3/5=1/3

-4x=1/3+3/5

-4x=14/15 <- divide both sides

x= -7/30

2. 4x+3/5=1/3

4x=1/3-3/5

4x= -4/15 <-divide both sides

x= -1/15

The answer is -4 (7/30) 3/5=1/3

PLEASE HELP!! I NEED THIS SOON!! Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial. As an added challenge, develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1)(x2 + 2x + 2). Give at least 5 sentences.

Answers

Multiplying a linear polynomial by a quadratic polynomial would equal a cubic polynomial. Algebraic tiles do not model cubic functions.

Answer:

the guy is right

Step-by-step explanation:

What is the solution to -5 + z = -12 A. z = -17 B. z = -7 C. z = 7 D. z = 17

Answers

Answer: -7

Step-by-step explanation:

Your answer is B. Z= -7

A surveyor wants to find the height of a hill. He determines that the angle of elevation to the top of the hill is 50°. He then walks 40
feet farther from the base from the hill and determines that the angle of elevation to the top of the hill is now 30°. Find the height of
the hill (round to the nearest foot).
es

Answers

Answer:

The height of  the hill is 45 feet .

Step-by-step explanation:

Refer the attached figure

Let AB be the height of hill

We are given that He determines that the angle of elevation to the top of the hill is 50°

So, [tex]\angle ACB= 50^{\circ}[/tex]

Now  He then walks 40  feet farther from the base from the hill and determines that the angle of elevation to the top of the hill is now 30°

So, CD=40 feet

BD=BC+CD=BC+40

[tex]\ADB= 30^{\circ}[/tex]

In ΔACB

[tex]Tan \theta = \frac{Perpendicular}{Base}\\Tan 50^{\circ} =\frac{AB}{BC}\\1.1917 BC=AB ----1[/tex]

In ΔADB

[tex]Tan \theta = \frac{Perpendicular}{Base}\\Tan 30^{\circ} =\frac{AB}{BD}\\\frac{1}{\sqrt{3}}=\frac{AB}{BC+40}\\\frac{1}{\sqrt{3}}(BC+40)=AB----2[/tex]

So,equate 1 and 2

[tex]1.1917 BC=\frac{1}{\sqrt{3}}(BC+40)\\BC=37.59[/tex]

Substitute the value in equation 1

1.1917 (37.59)=AB

44.796=AB

Hence the height of  the hill is 45 feet .

The answer is 45 feet

How many envelopes does Jane address in a
day?
Jane addresses twice as many envelopes
as Louis in the same amount of time.
Together, they address 450 envelopes
each day.

Answers

Answer:

2x+X=450

3x=450

X=450/3

X=150

so

2x=2*150=300

X=150

so, Jane addressed 300 envelopes while Louis addressed only 150

Answer:

Jane addressed 300 envelopes while Louis addressed 150

Step-by-step explanation: Let x represent Louis's amount and 2x is Jane's amount

x+2x= 450 combine 3x =450

Divide both sides by 3.

x/3 = 450/3 x= 150. 2x = 300

Pllzzz help I’ll mark brainliest

Answers

Answer:

26°

Step-by-step explanation:

AC=tan 64

BC=x=sec 64

Using sine rule

(Sin 64)/tan 64 = (sin BAC)/sec 64

Cos 64 = (sin BAC)(cos 64)

Sin BAC= 1

BAC=90

ACB+ 64+90=180

ACB= 26°

ACB=26.............. :)

If you apply the changes below to the absolute value parent function, f(x)=x, what is the equation of the new function? Shift 2 units to the right shift 3 units down

Answers

Answer:

f(x) = Ix - 2I -3

Step-by-step explanation:

f(x) = IxI

f(x) = Ix - 2I -3

The equation is f(x) = | x – 2 | + 3 Then the vertex of the absolute function will be at (2, 3).

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x – h | + k

If you apply the changes below to the absolute value parent function

f(x) = |x|

Then the equation of the new function will be

Shift 2 units to the right, shift 3 units down

f(x) = | x – 2 | + 3

Then the vertex of the absolute function will be at (2, 3).

More about the absolute function link is given below.

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How are you? Heres the question of the day! 138 + 76 x 94 =

Answers

Answer:

7282

Step-by-step explanation:

To answer this use PEMDAS

First, we need to multiply: 76 x 94 = 7144

Then we add: 7144 + 138 = 7282

Answer:

[tex]\boxed{7282}[/tex]

Step-by-step explanation:

Using PEMDAS rule:

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

Now, let's solve:

[tex] \mathsf{138 + 76 \times 94}[/tex]

Multiply the numbers

[tex] \mathsf{ = 138 + 7144}[/tex]

Add the numbers

[tex] \mathsf{7282}[/tex]

Hope I helped!

Best regards!

PLEASE HELP ASAP !!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Given the following :

Period = 15 years

Worth of investment = $7,200

The rule of 70 is represented by the formular :

Number of years to double = ( 70 / Annual percentage growth rate)

Inputting our values :

Number of years to double = 15 years

15 = 70 / Annual percentage growth rate

Annual percentage growth rate * 15 = 70

Annual percentage growth rate = (70 / 15)

= 4.667%

Therefore according to the rule of 70, it will take an annual percentage growth rate of 4.667% to double the investment.

Directions: Calculate the percent increase or decrease between the starting and ending
quantities below. Round your answer to one decimal place.
1. Start: 3
End: 10

Answers

Answer:233.333%

Step-by-step explanation:

1. 10-3=7 subtract end by start

2.7/3=2.333 divide difference by absolute value of start

32.333x100=233.333% multiply by 100 if negative its decreasing if positive it increasing

hoped this helped

233.333%. Njjjsjsksjsjsjsjsjsis
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