Use the quadratic formula to solve for the roots of the following equation.
x2 - 4x + 13 = 0 x=____a0 +- ______a1 I

Answers

Answer 1

2+3i, x=2−3

Explanation:


Related Questions

Write 3.6 as a percent.

Answers

Answer:

360%

Step-by-step explanation:

You have to multiply 3.6 by one hundred to get the percentage. When you multiply decimals by numbers that are multiples of ten, you move the decimal place to the right of the number by the number of zeroes that is in your number. Sorry if its confusing.

Examples: 3.76 * 100 = 376. You move the decimal to the right two spaces

46.263 * 1000 = 46263. You move the decimal to the right three spaces. Hope you understand.

Tammy got a new credit card with an APR of 21% a month ago, and she just
got her first credit card statement. She charged a bracelet for $17, a purse for
$36, and some sunglasses for $11. If her credit card charges interest on the
previous monthly balance, how much should Tammy pay now so that she
doesn't have any interest charged to her on next month's statement?

Answers

Answer:

$64

Step-by-step explanation:

She should pay the entire amount which is $17 + $36 + $11 = $64

Answer:

64

Step-by-step explanation:

yezzir

If there is a positive correlation between salary and education, then based on the table shown, which of the following careers requires the most education? A graph titled Average Salaries of Various Careers, 2008 to 2009. Veterinarian, 56,000 dollars; personal trainer, 18,000 dollars; accountant, 43,000 dollars; paralegal, 34,000 dollars; architect, almost 50,000 dollars; photographer, 19,000 dollars; pharmacist, 44,000 dollars; secretary, 30,000 dollars; surveyor, 36,000 dollars; webmaster, 49,000 dollars. a. accountant b. paralegal c. photographer d. surveyor

Answers

Answer:

The correct option is;

a. Accountant

Step-by-step explanation:

The given data are;

Career,                                                                   Average Salary

Veterinarian,                                                          $56,000

Personal trainer,                                                    $18,000

Accountant,                                                           $43,000

Paralegal,                                                              $34,000

Architect,                                                               $50,000

Photographer,                                                       $19,000

Pharmacist,                                                            $44,000

Secretary,                                                              $30,000

Surveyor,                                                               $36,000

Webmaster,                                                           $49,000

Among the options given, which are, accountant (salary, $43,000), paralegal (salary, $34,000), photographer (salary, $19,000), and surveyor (salary, $36,000), the accountant, with a salary of $43,000, requires the most education.

inscribed angles. need answers asap , thank u!​

Answers

Answer:

40°

Step-by-step explanation:

The circumference of a circle is equal to 360°

The arc AB is 180°, the arc AC is given as 100° so the arc CB is 80° and since <A is an inscribed angle it is equal to the half of the arc it sees

80 ÷ 2 = 40

Harley is trying to save $25,000 to put a down payment on a condominium. if she starts with $10,000 saved and saves in additional $750 each month, which equation represents how far Holly is from her goal of reaching $25,000? X stand for months and Y stand for dollars.

Answers

Answer:

10,000+750x=25,000

Step-by-step explanation:

This is because shes starts with 10,000 and gets 750 per month so she needs x months to get to 25,000 you can also do 25,000-10,000/750 = x

$10,000 for 20 years at 5% compounded annually

Answers

Answer:

$26532.98

Step-by-step explanation:

Given:

Principal = $10000Profit rate = 5% PA compoundedTime = 20 yearsCompounds = 20*1 = 20

Sum is:

10000*(1 + 5/100)²⁰ ≈ 26532.98

Find y. A. 63–√ B. 33–√ C. 23√3 D. 3

Answers

Answer: D. 3

This is a 30-60-90 triangle. The shortest leg (opposite the smallest angle) is half that of the hypotenuse, so y = 6/2 = 3.

Extra info: The long leg is sqrt(3) times the short leg, so x = y*sqrt(3) = x = 3*sqrt(3)

Answer:

D.) 3

Step-by-step explanation:

I got it correct on founders edtell

For which function is the ordered pair (4, 12) not a solution? y = 3 x y = 16 - x y = x + 8 y = 8 - x

Answers

if an ordered pair is a solution, it should satisfy the equation.

see the first option

[tex]y=3x[/tex] , if you put $x=4$ and $y=12$

you'll get $12=12$ which is true.

now the last option, $y=8-x$ put $x=4$ and $y=12$

$12=8-4\implies 12\ne4$ thus it is not a solution.

So option 4 is correct

Answer:

Last one:

y = 8 - x

Step-by-step explanation:

y = 8 - x

Replace x and y in this function

12 = 8 - 4

12 = 4 (impossible)

So, (4 , 12) is not solution for: y = 8 - x

a ladder 7.5m long is leaning against a wall if the foot of the ladder is 3m from the wall how far up the wall does the ladder reach to reach the nearest metres​

Answers

Answer:

7 m

Step-by-step explanation:

Use the pythagorean theorem.

a^2+b^2=c^2

7.5 is your hypotenuse and 3 is one of your legs.

7.5^2 - 3^2 = 47.25

the sqrt of 47.25 is 6.873863542, therefore the nearest meter it reaches is 7.

what is 384 remainder 3 as a decimal

Answers

Answer:

U just add a .3      

Step-by-step explanation:

so it would be 384.3 i think

Find the GCF of 15 and 25​

Answers

Answer:  5

15 factors into 5*3

25 factors into 5*5

The common factor is 5, and this is the largest common factor between 15 and 25.

What type of number is 17?
There may be more than one correct answer.

Select all that apply.

If only one answer is correct, select "only" and the answer that applies.

rational
only
integer
natural
whole
Rational Numbers

Answers

Answer:

Rational, integer, natural, whole, rational numbers

Step-by-step explanation:

17 is a rational, integer, natural, whole, and is a rational number. I'm not totally sure why rational is on there, since rational and rational number should be the same thing. Basically it's everything but "only". If rational is supposed to mean irrational, then it's not irrational.

Flying against the wind, a jet travels 1650 miles in 3 hours. Flying with the wind, the same jet travels 3480 miles in 4 hours. What is the rate of the jet in still air and what is the rate of the wind?

Answers

Step-by-step explanation:

Let the rate of the plane be x

The rate of the wind be y

Against the wind

Resultant velocity = x-y

1650/3 = x - y

550 = x - y

With the wind

Resultant velocity = x + y

3480/4 = x + y

870 = x + y

Solve equation simultaneously

Add both equations

870+550 = x+y+x-y

1420 = 2x

x = 710

x + y = 870

y=870 - 710

y = 160

The rate of jet in still air = 710 mph

The rate of wind = 160 mph

HOPE IT HELPS!

PRETTY PLEASE MARK ME BRAINLIEST :-)

The same amount of trash is dumped into a landfill every day. The function below shows the total number of tons of trash n in the landfill after x days:

n = 2000x + 1000

What does the number 2,000 represent?

Answers

The amount of trash put in the landfill each day.

Answer:

Amount of trash added to the landfill everyday

Step-by-step explanation:

If 2000 represents the amount of trash added to the landfill everyday then 1000 is the starting amount.

I got it right on the test. Hope this helped!

Please help! Algebra 2!!

Answers

Mistake found

3x-2(2x-4)=2

3x - 4x - 8 = 2 instead of 3x - 4x + 8 = 2

Correct answer

x= -13 y= -30

Answer:

See below.

Step-by-step explanation:

So we have the system of equations:

[tex]3x-2y=21 \text{ and } y=2x-4[/tex]

The student took the following steps:

[tex]3x-2(2x-4)=21\\3x-4x-8=21\\-x-8=21\\-x=29\\x=-29\\y=2(-29)-4=-58-4=-62[/tex]

The student's mistake is in step 2. He/she distributed incorrectly. You are supposed to distribute the -2 to both terms, so it should be -4x plus 8, since -2 times -4 is positive 8. Fixing that mistake, we will have:

[tex]3x-2(2x-4)=21\\3x-4x+8=21 \\-x+8=21\\-x=13\\x=-13\\y=2(-13)-4=-26-4=-30[/tex]

Thus, the final answers should be (-13, -30).

what is the GCF of 100x squared - 250xy+75x

Answers

Answer:

25x

Step-by-step explanation:

100x^2 -250xy +75x

Rewriting

25*4*x*x -25*10 *x*y + 25*3*x

As we can see each term contains 25x

The greatest common factor is 25x

25x( 4x -10y+3)

Answer:

25x

Step-by-step explanation:

GCF means the greatest common factor.

First, we write the factors of these numbers.

=> 100x^2 = 2 * 2 * 5 * 5 * X * X

=> 250xy = 5 * 5 * 5 * 2 * X * Y

=> 75x = 5 * 5 * 5 * x

=> Next, we need to take the numbers that come in all sets.

=> 5 , 5 , x

Next, we multiply these numbers.

=> 25x

So, the GCF of these numbers are 25x

Okay I need ur help pls very urgent..
So I have to match the following: .complement of 50degres
Supplement of 145degress
.complement of 27degress
Supplement of 50 degrees to either


130degress
63degress
35degress
And 40degress
So I gotta match the following the first ones on top match them to these ones here on the bottom hope you can help me and very sorry..I’m just really bad with maths.

Thanks..

Answers

Supplementary angles are those which sum upto 180°

[tex] \angle 1+\angle2=180^{\circ}[/tex]

Complementary are those which sum to 90°

[tex] \angle 1+\angle2=90^{\circ}[/tex]

so if you know one angle, you can find other.

Answer:Look at my explaination

Step-by-step explanation:The complement of 50 is 90-50 giving us 40degrees

The supplement of 145 is 180-145=35 degrees

The compliment of 27 degrees is 90-27=63 degrees

The supplement of 50 degrees is 180-50=130 degrees

Three years from now Tom will be twice as old as Jean and two years ago the sum of their ages was 26. How old is Tom now?

Answers

Answer:

21

Step-by-step explanation:

Tom'age: a

Jean'age: b

3+a=2(b+3)

a-2+b-2=26

or

a =2b+3

2b+3-2+b-2=26

or

a=2b+3

3b=27

or

a=21

b=9

Thus the required present age of Tom and Jean is 21 years and 9 years.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Let the present age of Tom and Jean is x and y.

Three years from now Tom will be twice as old as Jean.
x + 3 = 2 ( y + 3 )
x = 2y + 6 - 3
x = 2y + 3  - - - - - - - - -(1)

two years ago the sum of their ages was 26.
x - 2 + y - 2 = 26
x + y = 26 + 4
x + y = 30 - - - - - - -(2)

From equation 1 put x in equation 2.
2y + 3 + y = 30
3y = 30 - 3
3y = 27
y = 9

Put y in equation 2
x + 9 = 30
x = 30 - 9
x = 21

Thus the required present age of Tom and Jean is 21 years and 9 years.

Learn more about arithmetic here:

brainly.com/question/14753192

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Help please and explain

Answers

Answer:

30 ft

Step-by-step explanation:

We can use ratios

3              6

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

15            x

Using cross products

3x = 6*15

Divide each side by 3

3x/3 = 6*15/3

x = 30

Answer:

30 ft

Step-by-step explanation:

6/3 = x/15

2 = x/15

2×15 = x

30 = x

the cylindrical part of an architectural column has a height of 305 cm and a diameter of 30 cm find the volume of the cylindrical part of the column.use 3.14 for pi and round youre answer to the nearest cubic centimete if needed.

Answers

Answer:

215483 cm³

Step-by-step explanation:

Formula for volume of a cylinder = πr² · h

radius = 1/2diameter

1. Set up the equation

(3.14)(15²)(305)

2. Solve

215482.5

rounded to the nearest cubic centimeter = 215483 cm³

Answer:

215483 cm³

Step-by-step explanation:

credit goes to person up top

The inverse of the function graphed below is a function.
A. True
B. False

Answers

Answer:

B. False

Step-by-step explanation:

We are given a graph of a function. Shown graph represents a function because there is only unique value of y for each unique value of x.

So, it would pass the vertical line test.

All the vertical lines on the graph would cross the graph at only single point (unique) point.

But if we draw the inverse function graph, each of (x,y) coordinate would switch to (y,x) and the graph would flip to right side.

And if we draw any vertical line on the graph, it could cut the graph at two or more points.

Therefore, it would not pass the vertical line test and it would not be a graph of a function.

The inverse of the function graphed below is not a function as it fails to pass the horizontal test. Hence, B. False is the right option.

What is a function?

A function is a relation between a dependent and an independent variable, say y and x respectively, written as y = f(x). Any such relationship will be called a function if and only if, there is only one value of y corresponding to every x.

We check for a graphed relation to be a function using the vertical test.

When is the inverse of a function also a function?

The inverse of a function, say y = f(x), is given as x = f⁻¹(y), is also a function when f⁻¹(y) passes the vertical test, or simply y = f(x) passes the horizontal test.

What are vertical and horizontal tests?Vertical test: In the test, vertical lines are taken parallel to the y-axis, and the number of the intersection of the given graph of the relation to this line is tested. If the intersections on every vertical line ≤ 1, then the given relation passes the test, and it is a function.Horizontal test: In the test, horizontal lines are taken parallel to the x-axis, and the number of the intersection of the given graph of the relation to this line is tested. If the intersections on every horizontal line ≤ 1, then the given relation passes the test, and its inverse is a function.

How to solve the given question?

In the question, we are asked to tell whether the inverse of the given function graphed is also a function or not.

To check if the inverse is a function, we perform the horizontal test.

The given graph fails to pass the horizontal test, as for almost every line, the graph intersects two times to the line.

For example, the horizontal line y = 5, the graph intersects at two points.

Thus, the inverse of the function graphed below is not a function as it fails to pass the horizontal test. Hence, B. False is the right option.

Learn more about functions and inverse of functions at

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The length of a garden is 64m. The width is 24m. Posts for a fence will be made at equal distances around the garden, as far apart from each other as possible. How far apart can the posts be?

Answers

Answer:

Step-by-step explanation:

The maximum possible distance between  two posts for the fence will be given by HCF ( highest common factor ) of 24 and 64

24 = 8 x 3

64 = 8 x 8

highest common factor is 8 .

So distance between two poles ( maximum separation ) will be 8 m .

Ans : 8 m .

How do -11.5 and -9.5 compare? Choose the correct symbol.
-11.5 _ -9.5
A.<
B.=
C.>​

Answers

Answer:

A. <

Step-by-step explanation:

-9.5 is greater than -11.5

Answer:

A) <

less than

Step-by-step explanation:

-11.5 < -9.5

A group of 22 students participated in a math competition

Answers

What is the question now??

Meredith has $630,000 she wants to save. If the FDIC insurance limit per
depositor, per bank, is $250,000, which of these ways of distributing her
money between three banks will guarantee that all of her money is insured?
A. $200,000 in bank A, $200,000 in bank B, $230,000 in bank C
B. $200,000 in bank A, $170,000 in bank B, $260,000 in bank C
C. $160,000 in bank A, $180,000 in bank B, $290,000 in bank C
D. $160,000 in bank A, $200,000 in bank B, $270,000 in bank C
you

Answers

Answer:

$200,000 in bank A, $200,000 in bank B, $230,000 in bank C

Step-by-step explanation:

Meredith has $630,000

Limit per depositor, per bank, is $250,000

She needs to distribute her money between three Banks to guarantee that her money is insured.

A. $200,000 in bank A, $200,000 in bank B, $230,000 in bank C

It can be seen in A that her deposit per bank deposit didn't exceed the $250,000 limit in the three Banks.

B. $200,000 in bank A, $170,000 in bank B, $260,000 in bank C

Here, her deposit in bank C exceeds $250,000, so there is no guarantee for insurance in bank C

C. $160,000 in bank A, $180,000 in bank B, $290,000 in bank C

Her deposit in bank C is $290,000 which exceeds the $250,000 limit. Therefore, no guarantee for insurance of her money in bank C

D. $160,000 in bank A, $200,000 in bank B, $270,000 in bank C

you

Also, her deposit in bank C exceeds $250,000, so there is no guarantee for insurance in bank C

The way her money can be distributed between three Banks and guarantee insurance is

A. $200,000 in bank A, $200,000 in bank B, $230,000 in bank C.

That way, her deposit per bank is less than the $250,000 limit

ANSWER QUESTIONS QUICKLY PLZZZZZZ ​

Answers

Answer:

See below.

Step-by-step explanation:

Since the two triangles are similar, this means that their corresponding sides are proportional. In other words:

[tex]\frac{PQ}{XY}=\frac{QR}{YZ}=\frac{RP}{ZX}[/tex]

Part A:

We already know PQ, RP, XY, and YZ.

To find XZ, we can use the first and third proportions:

[tex]\frac{PQ}{XY} =\frac{RP}{ZX} \\=\frac{7.2}{18}=\frac{6.5}{ZX}[/tex]

Cross multiply:

[tex]117=7.2(ZX)\\ZX \text{ or } XZ = 16.25[/tex]

Part B:

The same thing as Part A, but with the first and second proportions:

[tex]\frac{PQ}{XY}=\frac{QR}{YZ}\\\frac{7.2}{18}=\frac{QR}{7}\\50.4=18(QR)\\QR=2.8[/tex]

Two numbers are in ratio 3 by 2 and their difference is 5 find numbers

Answers

Answer:

15,10

Step-by-step explanation:

let the numbers be 3x and 2x

3x-2x=5

x=5

∴ numbers are 3×5,2×5

or 15,10

Find the distance between the two points (8, 3) and (0, -3)

Answers

Answer:

10

Step-by-step explanation:

d is the variable for distance

√(0−8)2+(−3−3)2=

√(−8)2+(−6)2=

√64+36=

√100=

10

Answer:

10

Step-by-step explanation:

Try making 100 using:

5,5,5,5,5

?=100

Help ASAP!

Answers

Answer:

(5+5+5+5)*5

20*5=100

[tex]5\cdot5\cdot5-5\cdot5=125-25=100[/tex]

The graph of function f is shown. Function g is represented by the equation. Look at the graph and picture!

Answers

Answer: B) different y intercepts; same end behavior

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

Explanation:

The graph shows the y intercept is 4 as this is where the green curve crosses the vertical y axis.

The y intercept of g(x) is 6 which can be found by plugging x = 0 into the g(x) function

g(x) = 4(1/4)^x + 2

g(0) = 4(1/4)^0 + 2

g(0) = 6

So we can see the y intercepts are different.

----------

However, the end behaviors are the same for each function. The left side of f(x) goes up forever to positive infinity. The same is true for g(x). You could use a graphing calculator or a table to see this. As x heads to negative infinity, y goes to positive infinity.

In terms of symbols, [tex]x \to -\infty, y \to \infty[/tex]

----------

For the right side of f(x), it slowly approaches the horizontal asymptote y = 2. It never actually reaches this y value. The same happens with g(x). The portion 4(1/4)^x gets smaller but never gets to 0 so overall 4(1/4)^x+2 gets closer to 2. We can say that as x approaches infinity, y approaches 2.

In terms of symbols, [tex]x \to \infty, y \to 2[/tex]

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