The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place.
According to the fundamental theorem of algebra, which of the following statements is correct?
0
The quadratic function has no real zeros and two complex zeros.
The quadratic function has two distinct real zeros.
The quadratic function has one distinct real zero and one distinct complex zero.
D.
The quadratic function has two distinct real zeros and one distinct complex zero.

Answers

Answer 1

9514 1404 393

Answer:

  The quadratic function has two distinct real zeros.

Step-by-step explanation:

The fundamental theorem of algebra says the number of zeros is equal to the degree of the polynomial. A quadratic (2nd degree) will have two zeros.

We are given that the function has two x-intercepts (real zeros), so we can conclude ...

  The quadratic function has two distinct real zeros.


Related Questions

One difference between objects and data types is that it is usually not meaningful to compare the identities of separate instances of data types, but for objects it is valuable to compare separate object identities. Group of answer choices

Answers

Answer and explanation:

Question isn't complete but explanation is given below based on what you may be asking.

Answer and Explanation:

First, An object is a data type but is quite different from the usual or primitive data types such as string or integers. An object is based on object oriented programming(OOP) and is a sort of abstract data type which is usually defined by the programmer(some are inbuilt in the language). Objects are usually defined using classes and then become instances of those classes. Objects have identities(e.g- a dog has a name Zeus) and be compared to other objects of same class(other instances) while data types are not as well equipped to have identities, properties or methods that are user defined in order to make comparisons.

us matrix method to solve the
3y+2x=13
2y+3x=0​

Answers

Answer:

13

Step-by-step explanation:

3y+2x=13

2y+3x=0

∴3y+2x+2y+3x=13+0

∴3y+2y+2x+3x=13

∴5y+5x=13

Hope this helps you mate!

Pls mark as Brainliest

Answer:

the above ans is true

Step-by-step explanation:

uu can do it

Use the accompanying data set to complete the following actions.
a. Find the quartiles.
b. Find the interquartile range.
c. Identify any outliers.
55 56 61 58 63 58 65 59 64 58 54 63 63 57 75

Find the quartiles.
First Q1 is _
Second Q2 is _
Third Q3 is_

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Ordered data:

54, 55, 56, 57, 58, 58, 58, 59, 61, 63, 63, 63, 64, 65, 75

Sample size, n = 15

Q1 = 1/4(n+1)th term

Q1 = 16/4 = 4th term = 57

Q2 = 1/2(n+1) th term

Q2 = 16/2 = 8th term = 59

Q3 = 3/4(n+1)th term

Q3 = 3/4(16) = 12 th term = 63

Interquartile range = Q3 - Q1 = 63 - 57 = 6

Outlier :

LOWER = Q1 - (1.5 * IQR) = 57 - (1.5*6) = 48 ; values below 48

UPPER = Q3 + (1.5 * IQR) = 63 + (1.5*6) = 72 ;

Values above 72

Outlier = 75

A sample of 2,000 was sought to estimate the average achievement in science of fifth graders in a city’s public schools. The average fifth grade enrollment in the city’s elementary schools is 100 students. Thus, 20 schools were randomly selected and within each of those schools all fifth graders were tested. What sampling technique was used?

Answers

Answer:

"Clustering sampling" is the correct answer.

Step-by-step explanation:

If our entire demographic has been separated into segments or groupings, people employ clustering sampling. Those same groupings constitute diverse structurally and therefore are necessarily the same thing uniform.Researchers choose certain of the globular groupings, which are taken throughout the sampling one for each of the specified cluster centers.

cu ochii iesiti din orbite propozitie dau coroana

Answers

Answer:

idfk lol hehe hope this helps

Step-by-step explanation:

Given the equation of the circle what is the radius? (x-9)2+ (y+5)2 = 36

Answers

Answer:

6

Step-by-step explanation:

In a circle equation, the radius can be found by taking the square root of the r² value.

In this equation, the r² value is 36.

Take the square root:

√36

= 6

So, the radius is 6.

Joseph needs to drive 42 miles. They were going to drive at a certain average speed, but if they drive 10 mph faster, the trip will take 6 minutes (1/10 of an hour) less time. How fast were they going to drive? Write out the equation(s) ​

Answers

Answer:

The speed is 60 mph.

Step-by-step explanation:

distance = 42 miles

Let he drove with speed v and time is t.

distance = speed x time

42 = v t ..... (1)

42 = (v + 10)(t - 1/10) ..... (2)

[tex]42 = 42 -\frac{v}{10}+ 10 t - 1\\\\t =\frac{10+v}{100}\\\\Put in (1)\\\\42 = \frac{v(10+v)}{100}\\\\v^2 + 10 v - 4200 = 0 \\\\v = \frac{-10\pm \sqrt{100+4\times 4200}}{2}\\\\v =\frac{- 10 \pm 130}{2}\\\\v =- 70 mph, 60mph[/tex]

So, the speed cannot be negative so the speed is 60 mph.

two factor of a number are 5 and 6 .what is the number​

Answers

Answer:

30

Step-by-step explanation:

Have a nice day ;]

Answer:

The number is obviously 30 as the prime factors of 30 are 5 and 6 again 5 and 6 can also be factors of any multiples of 30 such as 60 180 900

Hope it helps

what is this equation, equivalent to c(x)=(x+6)^2+14

Answers

Answer:  x^2+12x+50

Work Shown:

c(x) = (x+6)^2+14

c(x) = (x+6)(x+6)+14

c(x) = x(x+6)+6(x+6)+14

c(x) = x^2+6x+6x+36+14

c(x) = x^2+12x+50

1. After you retire in 17 years your goal is to have $100,000 in your investment account that earns 8% compounded annually. How much money would you need to deposit now to reach this goal

Answers

9514 1404 393

Answer:

 $27,026.90

Step-by-step explanation:

The future value formula can be solved to find the present value required.

  FV = P(1 +r)^t . . . future value of P compounded at annual rate r for t years

  $100,000 = P(1 +0.08)^17

  P = $100,000/3.70002 . . . . divide by the coefficient of P

  P = $27,026.90

You would need to deposit #27,026.90 now to reach this goal.

I don't get it please Help me

Answers

Step-by-step explanation:

A. 2(x+4)=2x+8

=G

B. 3(2x-1)=6x-3

=I

C. 4(x+2)=4x+8

=J

D. 2(x+3)=2x+6

=K

E. 3(4x+1)=12x+3

=H

A - G

B - I

C - J

D - K

E - H

HOPE IT HELP

4(m + 3) = 18

write the solution to the equation ​

Answers

Answer:

1.5

Step-by-step explanation:

Let's begin by dividing each side by 4.

You get 18/4 or 4.5.

m+3=4.5

Now subtract 3 to each side.

m=1.5

Answer:

[tex]4(m + 3) = 18 \\ 2(m + 3) = 9 \\ 2m + 6 = 9 \\ 2m = 3 \\ m = \frac{3}{2} \\ m = 1.5[/tex]

4) Suppose you want to buy a car that costs $11,800. The expected depreciation of the car is 35% per year.
* What percentage is the car worth each year it depreciates from the previous year?
b. Find the depreciated value of the car after 6 years.
Show work please!!!!

Answers

Answer:

$889.94 after six years

Step-by-step explanation:

The equation is I=P(1-r)^t so after six years it would be worth $889.94. Every year the value depreciates by $4,130.

A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a width of 3 inches, and a height of 3 1/2
inches. What is the surface area?

Answers

Answer:

[tex]Area = 138in^2[/tex]

Step-by-step explanation:

Given

[tex]L = 9; W =3; H =3\frac{1}{2}[/tex]

Required

The surface area

This is calculated as:

[tex]Area = 2(LW + LH + WH)[/tex]

So:

[tex]Area = 2(9*3 + 9*3\frac{1}{2} + 3*3\frac{1}{2})[/tex]

[tex]Area = 2(27 + 31\frac{1}{2} + 10\frac{1}{2})[/tex]

[tex]Area = 2*69[/tex]

[tex]Area = 138in^2[/tex]

If the first hill is 20 cm high, the second hill is 0 cm high, and the last hill is 0 cm high, how long does it take the 50 g car to reach the egg?

Answers

25min I think don’t quote me

Write the decimal number that has the specified place values.
3 ones, 0 hundredths, 5 tens, 2 hundreds, 9 tenths
The number is

Answers

Answer:

253.90

Step-by-step explanation:

What two solid figures have the same volume

Answers

An oblique prism with the base of 5cm^2 and a heigh our 10 cm and A rectangular solid with the base of 5cm^3 and height of 10cm


Using the image above, set up the equation that would help to determine the value
of angle x.

Answers

Answer:

the equation is sin−1 (8/11)

the mean of the numbers 5, 2x, 4 and 3 is 5 find the value of x

Answers

Answer:

X=4

Step-by-step explanation:

(5+4+3+2x)/4=5

(12+2x)/4=5

12+2x=20

2x=8

X=4


PLEASE HELP ITS TIMED!! Which function is represented by the graph?


A)f(x) = -|x - 3l+ 4
B)f(x) = -lx + 3l+ 4
C)f(x) = -lx - 4l+ 3
D) f(x) = -lx + 4l+ 3


Answers

The answer is D) f(x) = -Ix+4I+3

Find st to the nearest tenth please helppppp

Answers

The answer of s is 79'

Good luck :)))

the sum of four consecutive even integers is 256. what are the numbers?
no troll ones, please! those who do attempt to will get reported immediately !

Answers

Answer:

61 , 63 , 65 , 67

Step-by-step explanation:

Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:

(x) + (x + 2) + (x + 4) (x + 6) = 256

First, simplify. Combine all like terms:

x + x + x + x + 2 + 4 + 6 = 256

4x + 12 = 256

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides of the equation:

4x + 12 (-12) = 256 (-12)

4x = 256 - 12

4x = 144

Next, divide 4 from both sides of the equation:

(4x)/4 = (144)/4

x = 144/4

x = 61

61 is your first number. Find the next 3 consecutive numbers:

x = 61

x + 2 = 63

x + 4 = 65

x + 6 = 67

Check:

61 + 63 + 65 + 67 = 256

256 = 256

~

URGENT HELP! SOLVE FOR A
answer choices : 24.6
27.8
18.7
44.2

Answers

9514 1404 393

Answer:

  (b)  27.8

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(22°) = a/30

  a = 30×cos(22°) ≈ 27.8

2. A display window consists of a stacked pyramid of books for sale. The bottom row has 27 books. Each row has two fewer books than the row below it. The display has 13 rows (a) Write and use a function to determine how many books are in the top row. Show your work. (5 points ) (b) Use the appropriate formula to determine the number of books in the entire display. Show your work . (4 points )

Answers

Answer:

A) 1

Step-by-step explanation:

A) 27 ÷ 13 = 1

B) if you take away 2 from "27", "13" times you will get 1 as the final answer.

I hope this helps, if I'm wrong please do correct me.

Identify the equation for the parabola with vertex (0, 0) and directrix x = 2.5.

Answers

Answer:

jk

Step-by-step explanation:

1 Joseph weighs 100 pounds and his sister weighs 100 pounds. How much do they weigh together? 15 a. 4 200 pounds 4 100 15 15 pounds b. d. 2 200 pounds 20 5 200 pounds 15 Please select the best answer from the choices provided O A OB Ос D​

Answers

Your answer is going to be a
A because 100+100 is 200

A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many different permutations of these letters can be made if no letter is used more than once?

Answers

Answer:

60 different permutations of these letters can be made.

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

How many different permutations of these letters can be made if no letter is used more than once?

3 letters from a set of 5. So

[tex]P_{(5,3)} = \frac{5!}{(5-3)!} = \frac{5!}{2!} = 5*4*3 = 60[/tex]

60 different permutations of these letters can be made.

find the difference of the value of the two 6's in the number 6060 ?​

Answers

Answer:

5940

Step-by-step explanation:

The first '6' represents '6000' and the second represents '60.'

Thus the difference of the values of the two '6s' is 6000 - 60 = 5940.

4. It was 68.7°F at midday, then it rose 9°F in the afternoon and dropped another 12.3°F by 7:00 p.m. What was the temperature at 7:00p.m.?​

Answers

The temperature rose so you add the amount it rose to the starting temperature

68.7 + 9 = 77.7 degrees

It then dropped so mow you subtract t the amount it dropped:

77.7 - 12.3 = 65.4 degrees

The answer is 65.4 degrees

.A national survey of companies included a question that asked whether the company
had at least one bilingual telephone operator. The sample results of 90 companies follow (Y
denotes that the company does have at least one bilingual operator; N denotes that it does
not).

Use this information to estimate with 95% confidence the proportion of the population that does have at least one bilingual operator.

Answers

Answer:

The 95% confidence the proportion of the population that does have at least one bilingual operator is (0.2359, 0.4307).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

90 companies. 30 have at least one billingual operator.

This means that [tex]n = 90, \pi = \frac{30}{90} = 0.3333[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3333 - 1.96\sqrt{\frac{0.3333*0.6667}{90}} = 0.2359[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3333 + 1.96\sqrt{\frac{0.3333*0.6667}{90}} = 0.4307[/tex]

The 95% confidence the proportion of the population that does have at least one bilingual operator is (0.2359, 0.4307).

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It is better to know the main components of all computer programming languages than to memorize the rules for all of the languages.TrueFalse Describe how attitudes toward women changed over the course of Roman history. 2 + (-25) =?NO LINKS OR I WILL REPORT!! 10 POINTS PLEASE ANSWER! Compared to the offspring of sexual reproduction in animals, theffspring of asexual reproduction willA) show greater varietyB) be more resistant to diseaseC) be genetically identical to the parentD) grow larger A 100 m2hay shed is to be extended to give 475 m2of oor space in total, as shown. All angles are right angles. Find the value of x. what's the easiest way to answer how I know the answer pls? Read the following lines from Miguel de Cervantes's Don Quixote, in which themain character attacks a windmill on his horse, Rocinante. Also, compare thetext with the illustration of the same scene by Gustave Dor.[Don Quixote) charged at Rocinante's fullest gallop and fell upon the first mill that stood in front of him; but as hedrove his lance point into the sail the wind whirled i roundwith such force that it shivered the lance to pieces, - sweeping with it horse and rider, who went rolling over on the plain, in a sorry condition.What is one distinction between the text and the illustration that is a result of the difference in medium?O A. The image shows the scene from directly in front of Don Quixote.O B. The image focuses on the lance piercing the sail of the windmill.O C. The text specifies that Don Quixote attacked the windmill first.O D. The text indicates the sequence of events before the mishap. What is the equation of the line that passes through point ( -5,2 ) and has a slope = 2 what is an earthquake's epicenter found Determine the surface area of the shape below. Which detail best supports the idea that horror films are based on the worries of filmmakers and audiences?? a letter to a friend describing any three occupations and which one you would like to take up when you grow up .mention why you have selected that particular occupation Which quote uses parallelism? The balance sheet of Tech Track reports total assets of $400,000 and $600,000 at the beginning and end of the year, respectively. Sales revenue for the year is $1,000,000 ($800,000 in the previous year), net income is $40,000, and net cash flows from operating activities are $50,000. How does Tech Track's asset turnover compare to the industry average of 2.0 times Find the volume of the cylinder. Use 3.14 for . Round to the nearest tenth. What were the two main subjects of Mayan art Taveras Corporation is currently operating at 50% of its available manufacturing capacity. It uses a job-order costing system with a plantwide predetermined overhead rate based on machine-hours. At the beginning of the year, the company made the following estimates: Machine-hours required to support estimated production 200,000 Fixed manufacturing overhead cost $ 2,800,000 Variable manufacturing overhead cost per machine-hour $ 2.00 Required: 1. Compute the plantwide predetermined overhead rate. 2. During the year, Job P90 was started, completed, and sold to the customer for $3,200. The following information was available with respect to this job: Direct materials $ 1,472 Direct labor cost $ 1,056 Machine-hours used 79 Compute the total manufacturing cost assigned to Job P90. if you were a politician, what is one thing you would change in canada to make sure women are treated equally?i'd rly appreciate anyones help asap, thanks in advance!! name a disorder that is a result of shortage of proteins in children if 4/5x - -3/4=0 then x=