F(x) = x^2-3x+18f(x)=x 2 −3x+18f, left parenthesis, x, right parenthesis, equals, x, squared, minus, 3, x, plus, 18 What is the value of the discriminant of fff? How many distinct real number zeros does fff have?

Answers

Answer 1

Answer:

No real roots or no real zeros.

Step-by-step explanation:

The given function is

[tex]f(x)=x^2-3x+18[/tex]

We need to find the number of real zeroes.

The given function is a quadratic function.

Let a quadratic function is [tex]f(x)=ax^2+bx+c[/tex].

If [tex]b^2-4ac<0[/tex], then the function has no real root.

If [tex]b^2-4ac=0[/tex], then the function has one real root with multiplicity 2.

If [tex]b^2-4ac>0[/tex], then the function has two real roots.

In the given function,

[tex]a=1,b=-3,c=18[/tex]

So,

[tex]b^2-4ac=(-3)^2-4(1)(18)=9-72=-63<0[/tex]

The value of discriminant is -63.

Therefore, the given function has no real root or no real zeros.

Answer 2

Answer:

The discriminant value of F is -63

F has 0 distinct real number zeros

Step-by-step explanation:


Related Questions

Naz and Lara are going to the cinema. The film starts at 15.10 They want to arrive 20 minutes early. It takes them 35 minutes to walk to the cinema. What time should they leave home?

Answers

Answer:

they need to arrive at 14:05

Step-by-step explanation:

An acorn falls from the branch of a tree to the ground 25 feet below. The distance, S, that the acorn is from the ground as it falls is represented by the equation S(t) = –16t2 + 25, where t is the number of seconds. For which interval of time is the acorn moving through the air?

Answers

Answer:

0<t<5/4  or B

edge

The interval of time, the acorn moving through the air is t > 5/4.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

An acorn falls from the branch of a tree to the ground below = 25 feet

The equation is [tex]S(t) = -16t^2 + 25[/tex], where t is the number of seconds and

S is the distance.

At t=0,

⇒ [tex]S(0) = -16(0)^2 + 25[/tex]

⇒ [tex]S(0) = 25[/tex]

Initially, the acron is at 25 feet above the ground level. So t > 0, for the acron to fly on air.

The interval can be found as,

⇒ [tex]-16t^2 + 25 > 0[/tex]

⇒ [tex]-16t^2 > -25[/tex]

⇒ [tex]t^2 > \frac{25}{16}[/tex]

⇒ [tex]t > \sqrt{\frac{25}{16} }[/tex]

⇒ [tex]t > \frac{5}{4} or \frac{-5}{4}[/tex]

since t > 0, the interval is [tex]t > \frac{5}{4}[/tex]

Hence we can conclude that the interval of time, the acorn moving through the air is t > 5/4.

Learn more about word problems here

brainly.com/question/20594903

#SPJ2




























Write a quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, −17).

f(x)=

Answers

Answer:

x^4 +y+1

Step-by-step explanation:

The quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, -17) is [tex]-17(x-1)^{2}[/tex].

What is vertex form of a quadratic function?

The vertex form of a quadratic function is [tex]f(x) = a(x-h)^{2} + k[/tex] where a, h, and k are constants and (h, k ) is the vertex of the graph of the function.

According to the given question we have

The graph has the vertex is (1, 0) and passes through (2, -17)

Since, the general form of a quadratic function in a vertex form  is

[tex]y = a(x-h)^{2}+ k[/tex]

substitute, h = 1 and k = 0 in the above equation

⇒ [tex]y = a(x-1)^{2} +(0)^{2}...(i)[/tex]

Also, the graph passes through the point (2, -17)

⇒ [tex]-17 = a(2-1)^{2}[/tex]

⇒ -17 = a or a = -17

Substitute the value of a in equation (i).

⇒[tex]y = -17(x-1)^{2}[/tex]

Therefore, the quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, -17) is [tex]-17(x-1)^{2}[/tex].

Learn more about quadratic function in vertex form here:

https://brainly.com/question/13921516

#SPJ2

Seth's family plans to drive 220 220 miles to their vacation spot. They would like to complete the drive in 4 4 hours. Find the average speed in miles per hour needed to make the trip in the desired time.​

Answers

Answer: 55 miles per hour

Step-by-step explanation:

Here is the complete question:

Seth's family plans to drive 220 miles to their vacation spot. They would like to complete the drive in 4 hours.

Find the average speed in miles per hour needed to make the trip in the desired.

From the question, Seth's family plans to drive 220 miles to their vacation spot and they would like to complete the drive in 4 hours.

Average speed is calculated as distance travelled divided by the time taken. This will be:

Speed = Distance/Time

Average speed = 220/4

Average speed = 55 miles per hour

Can’t get this right, please help!!

Answers

Answer:

x = -2

Step-by-step explanation:

The line represented in the graph is x = -2.

We know that lines in the form x =   are vertical, and lines in the form y =   are horizontal.

From this, the vertical line that intersects (-2,0) is x = -2.

Game 1. There are 20 sticks. 2 players take turns removing 1 or 2 sticks. The player who cannot make a move loses. Can you always win if you can choose whether you go first or second? How?

Answers

U can lose both ways

Solve for x. Enter the solutions from least to greatest.
x2 – X – 12 = 0

Answers

Answer:

x=-3 or 4

Step-by-step explanation:

1 punto
4. Los miembros de una
asociación de productores
decidieron donar $5,000.00
cada uno para mejorar la
producción. Que
procedimiento permite
conocer la aportación total?
A) Dividir $5,000.00 entre la
cantidad de productores
B) Multiplicar la cantidad de
productores por $5,000.00
C) Sumar la cantidad de
productores más $5,000.00
О
D) Restar $5,000.00 a la cantidad de
productores

Answers

Answer:

Multiply the number of producers by $ 5,000.00

Question:

Members of a producer association

decided to donate $ 5,000.00 each to improve the production. Than

procedure allows know the total contribution?

A) Divide $ 5,000.00 between the

number of producers

B) Multiply the amount of producers for $ 5,000.00

C) Add the amount of producers plus $ 5,000.00

О

D) Subtract $ 5,000.00 from the amount of producers

Step-by-step explanation:

We are asked to find the total contribution

Each manufacture will contribute $5,000.00

We were not told the number of manufacturers that would be contributing the amount.

Total contribution = number of manufactures × $5000

The procedure that allows one to know the total contribution:

Multiply the number of producers by $ 5,000.00

Option has B stated 'amount' instead of 'number'. It may be a mistake

B) Multiply the amount of producers for $ 5,000.00

Jean-Paul Sovique, the famous sculptor, is building a solid conical sculpture. He has 1,178.1 cubic feet of clay to work with, and he wants his sculpture to be three times as high as its radius. What will the radius and height of his cone be?

Answers

Answer:

Radius = 7.21 feet.

Height = 21.63 feet

- to the nearest hundredth.

Step-by-step explanation:

Let the radius be r feet, then the height will be 3r feet.

So the volume = 1,178.1 = 1/3 π r^2 h

1.178.1 = 1/3  π r^2 3r

1/3 π 3 r^3 = 1178.1

 π r^3 = 1178.1

r^3 = 1178.1/ π

r^3 =   375

r = 7.211 feet.

So the height = 3 * 7.211 ft

= 21.633 ft

I need help with this i don’t know if I’m right so please help

Answers

Answer:

You're correct, it's a reflection.

Step-by-step explanation:

A glide reflection is for geometry where the object must go through a series of transformations and be reflected across the axis, this doesn't go through any transformations.

Answer:

reflection, i think for it to be a glide reflection, the image below it would be upside down or sideways

Step-by-step explanation:

Noah pays $25.20 for non-perishable food items to give to the local homeless shelter the price includes a 5% sales tax.

Answers

The question is incomplete:

Noah pays $25.20 for non perishable food items to give to the local homeless shelter the price includes a 5% sales of tax. what is the price before tax of the food items?

Answer:

$24

Step-by-step explanation:

From the information you have that the price of items is $25.20 and it includes a 5% tax. From this, you can write the following:

x+0.05x=25.20

Then, you can isolate x to find the price before tax:

1.05x=25.20

x=25.20/1.05

x= 24

According to this, the price before tax of the food items is $24.

Find the circumference of the circle below. (Use 3.14 for Pi)

Answers

The answer is 75.36 m

Please see the attached picture for full solution

Hope it helps

Answer:

[tex]75.36m[/tex]

Step-by-step explanation:

[tex]c = 2\pi \: r \\ = 2 \times 3.14 \times 12 \\ = 75.36m[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

create a radical that would simplify to the radical indicated.

Answers

Answer:

∛(3b)^4

Step-by-step explanation:

Note that the square root of 36 is 6; in other words, 6^2 = 36.

So (√36)(5) = 6√5

Please help! Correct answer only!

There is a spinner with 50 equally likely sections, numbered from 1 to 50. You have the opportunity to spin it. If the number is odd, you win $13. If the number is even, you win nothing. If you play the game, what is the expected payoff?

$___

Answers

Part 1 . " Spinner Problem "

Answer:

" Expected Payoff " ⇒ $ 6.5 ; Type in 6.5

Step-by-step explanation:

[tex]Spinner Sections - 50 Sections,\\Numbers On Spinner - 1 To 50,\\\\Odd = Even,\\Odd Numbers = 50 / 2 = 25,\\Even Numbers = Odd Numbers = 25,\\\\Probability Of Spinning Odd Number - 25 / 50 = ( Simplified ) 1 / 2,\\Money Won - 13 Dollars,\\\\Proportion - 1 / 2 = x / 13, Where - x = " Expected Payoff "\\\\1 / 2 = x / 13,\\2x = 13,\\x = 6.5 Dollars,\\\\Conclusion ; x = 6.5 Dollars[/tex]

Solution ; " Expected Payoff " $ 6.5

_____________________________________________________

Part 2 . " Ticket Problem "

Answer:

" Expected Payoff " ⇒ $ 1.80 ; Type in 1.80

Step-by-step explanation:

Take the probability of winning into consideration;

[tex]Total Number of Tickets - 500,\\Tickets 1 Person Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 500,\\Money Won - 900 Dollars,\\\\Proportionality - 1 / 500 = x / 900 - where, x = " Expected Payoff "\\1 / 500 = x / 900 - CrossMultiplication,\\\\500 * x = 900,\\x = 900 / 500,\\x = 1.80 Dollars Won!\\\\Conclusion ; x = 1.80 Dollars[/tex]

Solution ; " Expected Payoff " ⇒ $ 1.80

Can someone make sure that I’m right

Answers

Answer:

A

Step-by-step explanation: You are correct!

Yup bro you’re right

Which statement describes this pair of congruent triangles? Triangle H K J. Angle H is 58 degrees, angle K is 60 degrees, and angle J is 62 degrees. Triangle L M N. Angle L is 62 degrees, angle N is 58 degrees, angle M is 60 degrees. Triangle H J K is congruent to triangle L M N Triangle H J K is congruent to triangle M L N Triangle H J K is congruent to triangle N L M Triangle H J K is congruent to triangle N M L

Answers

Answer:

(C)Triangle HJK is congruent to triangle NLM

Step-by-step explanation:

In Triangle HKJ

Angle H is 58 degrees. Angle J is 62 degrees.Angle K is 60 degrees

In Triangle LMN (Arranging in the same order as the angles above)

Angle N is 58 degrees.Angle L is 62 degrees.Angle M is 60 degrees.

Therefore, we can say that:

Triangle HJK is congruent to Triangle NLM.

The correct option is C

Answer:C

Step-by-step explanation:

y=7x^2-3
find the value of the discriminant
is there 2 real solution, 1 real solution, or no real solution

Answers

Step-by-step explanation:

We have,

[tex]y=7x^2-3[/tex]

It is required to find the value of the discriminant. It is given by :

[tex]D=b^2-4ac[/tex]

Here, a = 7 b = 0 and c = -3

So,

[tex]D=(0)^2-4\times 7\times (-3)\\\\D=84[/tex]

The discriminant is positive here, it means that it has two distinct real number solutions.

determine the diameter

Answers

Answer:

2.75 cm

Step-by-step explanation:

You can multiply the diameter by the scale factor to find the size of the diameter on a scale diagram.

55 * 0.05 = 2.75 cm

round 76 million to 1 significant figure

Answers

Answer: 80,000,000

76 million in numbers is 76,000,000

this in 1 significant figure is 80,000,000

Ana will spin the spinner. What is the probability that Ana's spin will land on yellow? If there are 2 Red Sections, 3 Blue Sections, 4 yellow Sections, 3 Black Sections.

Answers

Answer:

The probability is 1/3

Step-by-step explanation:

Here, we are interested in calculating the probability that the spinner will land on the yellow section.

Firstly, we need to calculate the total number of sections. That would be = 2 + 3 + 4 + 3 = 12 sections

Now, the probability that the spinner will land on the yellow section = number of yellow sections/total number of sections

There are four yellow sections

Thus, the probability of the spinner falling on a yellow section = 4/12 = 1/3

ab-bc , bc-ca, ca-ab​

Answers

Answer:

2ab

Step-by-step explanation:

I am pretty sure this is adding polynomials.

This is not correct.

ab-bc+0

ab+bc-ca

0+0+ca

If you take each row at a time, you get.

ab-bc+0

ab+bc-ca

=

2ab+0-ca

0+0+ca

2ab

2ab is your answer

What is the volumen of a sphere with a diameter of 32.5m

Answers

Answer: 17974.16m cubed

annually versus quarterly. $5,000 at 10% for 5 years

Answers

Answer:

2500

Step-by-step explanation:

500*5

Someone please help me with my homework:(

Answers

Answer:

16

Step-by-step explanation:

The area of a triangle is b*h/2

4*8/2

=16

The Answer to this is (16)

EASY- 15 POINTS
David buys a pair of shoes. The retail price of the shoe is $384. The
percent markup is 140%. What is the wholesale price of the shoes?
A. $274.29
B. $960
C. $240
D. $160​

Answers

Im not sure if im correct, but I think it’s B
The correct answer would be b

Can someone help me.???!

Answers

Answer:

the answer is 9

Step-by-step explanation:

you multiply the 6 and 3 and get 18 and then divide by 2 to get 9

A coordinate plane. A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check all that apply. (12, 3) (–2, –5) (–3, 1) (1, 15) (5, –2)

Answers

For a line with a positive slope that passes through (0, 1), the points that can't be on the line are:

(-3, 1) and (5, -2)

Which of these points could that line NOT pass through?

We know that the line passes through the point (0, 1) and has a positive slope. This means that for values of x larger than x = 0, the values of y in the line will be larger than 1.

Then if we find a point with:

x > 0

y ≤ 1

That point clearly can't belong to our line.

And points with:

x < 0

y ≥ 1

Also can't belong to the line.

Then the correct options are: (-3, 1) and (5, -2)

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Answer:

The ACTUAL answer is.. (-3,1) and (5,-2), in other words, C and E.

Step-by-step explanation:

You're welcome, I got the question wrong,o_o, that's the only reason I know the answers, good day.

are there any words that would be hard to precisely define

Answers

Answer:

relative is one, if u need more just ask

Step-by-step explanation:

The equation of the graphed line is 2x-3y=12 what is the x-intercept of the graph ?

Answers

Answer:

(6,0)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

correct on edg :)

I dare you to solve this!Foil method

Answers

Answer:

a^(2m) + 2 a^m b^ (n-1) + b^ ( 2n -2)

Step-by-step explanation:

( a^m + b^(n-1) )( a^m + b^(n-1) )

FOIL

first: a^m a^m = a^ 2m

outer: a^m b^ n-1

inner a^m b^ n-1

last : b^ n-1  b^ n-1 = b^ ( 2n -2)

Add together

a^(2m) + 2 a^m b^ (n-1) + b^ ( 2n -2)

Other Questions
Propose some possible explanations for the large volume of noncoding DNA in the human genome. HELP! ASAP! with the 2 pleasee PART A: According to Hume, what type of people tend to focus on the meanness ofman?Hume describes this type of people as either eloquent or ridiculous.Hume believes that all people are interested in human nature, but lack thecapabilities or education to make logical conclusions about it. Hume describes these people as indifferent to country and community, forthose are the only people who are distanced and cynical enough to beinterested in man's meanness.D. Hume places these people in two categories: those who condemn humannature and those who glorify it.I The digits of both the two-digit numbers in the first calculation below have been reversed to give the two-digit numbers in the second calculation. The answers to the two calculations are the same. 62 13 = 806 62 13 = 806 26 31 = 806 26 31 = 806 For which one of the calculations below is the same thing true? What is the solution to the equation 3(2+5)=3+4? Please help me asap please! I need all the answers please! Which statement is true? A. All squares are similar to each other. B. All rectangles are similar to each other. C. All squares are similar to each other, and all rectangles are similar to each other. D. None of these statements are true. which of the following statements is/are true for a 0.10 m solution of a strong acid (HA)? You are tasked with composing a program to compute the payroll earnings for the sales force at the Arctic Ice company. All sales employees are on a straight commission basis of 12.5% of gross sales. The sales manager calculates the bonuses separately. Your program is needed to calculate the withholdings and deductions from the employees gross pay. Your program must calculate the federal and state withholdings (taxes) and also the retirement contribution of each employeeA. 25% Federal withholding B. 10% State withholding C. 8% Retirement plan Salesperson Sales Bonus1 53,500 4252 41,00 3003 56,800 3504 36,200 175 Administrators want to understand how currently enrolled students are placing into their current math class. They randomly choose five math courses and ask the instructors to post a survey on their Canvas site for students to complete within the first week of class. The administrators will calculate the proportion of students that placed into their math class by their high school GPA.. a) What is the population of interest? b) What is the population parameter of interest? c) What is the sampling frame? d) Describe the sample. e) What type of sampling method was used for this study? f) Who was possibly left out of this study?! Scientific knowledge A. was modified regularly early in human history, but it can no longer be modified. B. must be modified by popular vote from the general public. C. cannot be modified, even if new information challenges prevailing theories. D. can be modified as new information challenges prevailing theories. Evaluate the expression 3 * 5 x when x is 2. "Same-Sex Marriage Upheld by Supreme Court"47% of Children Live With One Parent"Majority of College Degrees Now Go to WomenA conclusion that can be drawn directly from these headlines is that1.more people are delaying marriage to a later age2.legal and societal changes have affected the family unit3.the role of women has changed little in the past decade4.most married couples do not have children Sally wants to test how the type of light affects the height of bean plants. She uses three different types of light bulbs: LED, incandescent, and CFL. She exposes the plants to the lights for thesame amount of time and plants the seeds in containers that are the same size, with the same type of soil, and waters them with the same amount of water each day. She measures the height ofthe plants using a ruler and records the growth each day. Which of the following is the independent variable in the experiment? Suppose that you hold a piece of land in the City of London that you may want to sell in one year. As a U.S. resident, you are concerned with the dollar value of the land. Assume that, if the British economy booms in the future, the land will be worth 2,000 and one British pound will be worth $1.40. If the British economy slows down, on the other hand, the land will be worth less, i.e., 1,500, but the pound will be stronger, i.e., $1.50/. You feel that the British economy will experience a boom with a 60% probability and a slow-down with a 40% probability.Required:a. Estimate your exposure b to the exchange risk. b. Compute the variance of the dollar value of your property that is attributable to the exchange rate uncertainty. c. Discuss how you can hedge your exchange risk exposure and also examine the consequences of hedging. Find the value of x and y in the parallelogram below. 1. A line passes through (9, -9) and (10,-5).a. Write an equation for the line in point-slope form.b. Rewrite the equation in standard form using integers. What is the slope-intercept equation for the line below? What event caused citizens to support programs for those in need Suppose that we want to estimate the mean reading speed of second graders. The random sample of students' reading speeds we choose has a mean of 31.6 words per minute and a standard deviation of 2.4 words per minute. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, Z refers to a variable having a standard normal distribution, and t refers to a variable having a t distribution.) Sampling Scenario could use either Zort unclear (1) The sample has size 100, and it is from a non-normally distributed population with a known standard deviation of 2.6. (2) The sample has size 75, and it is from a non-normally distributed population. (3) The sample has size 12, and it is from a population with a distribution about which we know very little. (4) The sample has size 14, and it is from a normally distributed population with a known standard deviation of 2.6. (5) The sample has size 16, and it is from a normally distributed population with unknown standard deviation.