Mathematics High School

what is the discriminant of f(x)=2x^2+8x+16
and the number and type of roots​

Answers

Answer 1

Answer:

2 imaginary roots

Step-by-step explanation:

The discriminate is the portion of the quadratic equation under the square root

D = b^2 - 4ac

D = 8^2 - 4(2)(16)

D = 64 - 128

D = -64

Since the discriminate is negative the square root will be imaginary

and there will be 2 of them

2 imaginary roots

What Is The Discriminant Of F(x)=2x^2+8x+16 And The Number And Type Of Roots
Answer 2

9514 1404 393

Answer:

discriminant: -64two complex roots

Step-by-step explanation:

The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...

  a=2, b=8, c=16

so, the discriminant is 8² -4(2)(16) = 64 -128 = -64

A negative discriminant indicates there are two conjugate complex roots.

Related Questions

please explain it to me that how I gonna answer this : integral of secx I know the answer but how?
It will be ln / secx + tanx / + c​

Answers

Answer:

ln|sec(x) + tan(x)| + c

Step-by-step explanation:

∫sec(x) dx

secx = 1/cos(x) = cos(x)/cos²(x) = cos(x)/(1-sin²(x))

let u = sinx

we get ∫secx = ∫du/(1-u²) = ln√(1+u)/(1-u)

as (1+u)/(1-u) = (1+sinx)/(1-sinx) = (sec²x + tan²x)

so ln √(1+u)/(1-u) = ln√(sec²x + tan²x) = ln|secx+tanx| +c

What is the equation of the line perpendicular to y = -4x + 3 that goes through (8, -3)?

Answers

Perpendicular slope: opposite and reciprocal
-4 opposite and reciprocal = 1/4
Y = 1/4x + b
Plug in point
-3 = 1/4(8) + b
-3 = 2 + b, b = -5
Solution: y = 1/4x - 5

Everyone loved Caroline's cookies so much that they ate them all! She wants to make some more to eat at
home, but would only like to make 1 dozen cookies. How much of each ingredient will she need? Rewrite
the recipe so that it will only make 1 dozen cookies.

Answers

Which one is the original sentence?

How to tell if a piecewise function is differentiable.

Answers

Answer:

So what we're going to do is now take the so drdx of negative 3x plus 1 is equal drdx of x squared

Step-by-step explanation:

David can type 90 words a minute.
How many words can be typed in 9.5 minutes?

Answers

Answer:

855

Step-by-step explanation:

90x9.5=855

Answer:

See below:

Step-by-step explanation:

So we know that in 1 minute he can type 90 words.

To solve for 9.5 minutes, what we can do is first multiply 90 by 9 to get 810.

We then can multiply 90 by 0.5 as we are using the distributive property.

After that, we get 810 + 45 which is 885 words in 9.5 minutes.

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

7x - 2y - 4

Step-by-step explanation:

If a - b = c then the value of b is a - c:

5x + 2x - 7 - (-2x + 4y - 3) = 5x + 2y - 7 + 2x - 4y + 3 = 7x - 2y - 4

Which of the following expressions correctly describes Completing the Square?

Answers

The expression that correctly describes completing the square is;

Option C; x² + ax + (a/2)²

Let's say we have an expression;

x² + ax + c = 0

Let us first rearrange to get;

x² + ax = -c

Add (a/2)² to both sides to get;

x² + ax + (a/2)² = -c + (a/2)²

Thereafter, we can simplify the left hand side to give; (x + a/2)² = -c + (a/2)²

But from the given options, the only one with a corresponding step with what we have is option C which is x² + ax + (a/2)²

Read more at; https://brainly.com/question/13981588

Substitution Property of Equality
Reflexive Property of Equality
Addition Property of Equality
Division Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Angle Addition Postulate

Pick 1 for each blank PLS HURRY!!!!

Answers

The first to are addition property of equality the third one is division property of equality

I only need question 51 pleaseeee

Answers

Answer:

I think they both did reason correctly! Since they got different answers, we can conclude the initial plan was incorrect.

Step-by-step explanation:

      Both of their work looks to be correct. Since they both have correct solutions, we can conclude that the initial plan was incorrect and that an angle was recorded wrong.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

2. Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute value of each.
Day 1: -3.5 F
Day 2: 5 F
Comparison of Day 1 and Day 2: __-3.5__ < __5___ or ___5__ > ___-3.5____
Comparison of days with absolute value: ____ < _____ or _____ > _______

WILL GIVE BRAINLIST FOR A CORRECT ANSWER

Answers

Answers:

-3.5 < 5

|-3.5| < |5|

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

Explanation:

Any negative number is always smaller than any positive number. So that's why -3.5 is smaller than 5 and where -3.5 < 5 comes from. It might help to set up a vertical number line. Stuff on top is larger than stuff down below.

---------

The vertical bars represent absolute value. The result of |-3.5| is 3.5 because this is the distance from -3.5 to 0 on the number line. Likewise, |5| = 5.

So that's how we get to |-3.5| < |5| which is effectively saying -3.5 is closer to zero than 5 is to zero.

2. You may submit your answer to question l in essay form here.
(0 points)
If you are unable to submit your answer to question 1 in audio form, you may submit your
answer here.
How do you simplify this expression?
-12 - 3.7-8-(-4)2 - 6) - 2
Prepare your response to this question. When you are ready, you may submit your response as
an audio recording or as a written essay. Be sure to include the following:

Answers

Answer:

I hope this helps

Step-by-step explanation:

Help me with math!!!

Answers

Answer:

- 7

Step-by-step explanation:

Given

t < - 6

Then t = - 7 is less than - 6 and is a solution

For which values is the graph decreasing? Check all that apply.
between x = –3 and x = –1.5
between x = –1.5 and x = 0
between x = 0 and x = 1.5
between x = 1.5 and x = 3

Answers

Answer:

c

i think

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

Use 3.14
Jerry is building a model car. The picture shows one of the wheels for the car. The wheel has a diameter of 30 millimeters.
30 mm
Which is closest to the distance around the outside edge of the wheel?

Answers

We want to find the distance around the outside wheel of the car given that we know its diameter. We will see that this distance is 94.2mm

So the distance around the outside edge of the wheel will be equal to its circumference.

We do know that for a circle of diameter D the circumference is defined as:

C = pi*D

Where pi = 3.14

Here we do know that the diameter is 30 mm, then the circumference of the wheel will be:

C = 3.14*30mm = 94.2 mm

This is the distance around the outside edge of the wheel.

If you want to learn more about circumferences you can read:

https://brainly.com/question/17009561

4. How many y-intercepts can the graph of an absolute value function have?

Answers

Answer:     a function can only have one y-intercept.

8+6(1/2 +5) divided by 2 plz i need help ill give u brainlyest (plz show how to do it as well)

Answers

The answer is 21.75........

Answer:

24.5

Step-by-step explanation:

8+6(1/2 +5) divided by 2

Find the equation of a line that passes through the point (3,-4) and has a gradient of
-1/2.

Leave your answer in the form

y=mx+c

Answers

Point-slope form: y + 4= -0.5(x - 3)
Slope-intercept form: y = -0.5x - 2.5

what are equivalent ratios for 5:4here are the options: 5:4 10:4 15:12 10:8 5:8 4:5

Answers

15:12 is the equivalent ratio of 5:4

Please help me out for a brainlist :)
Match the correct form the equation is written in for the following:

Answers

Answer:

1,2,3,2,2

Step-by-step explanation:

because standard form is ax

Help me. Please and thank you.

Answers

Answer: Show the options

Step-by-step explanation:

What’s 9x12 divided by 6 x8

Answers

Answer:

60

Step-by-step explanation:

9*12=108

6*8=48

108-48=60

Problem 2
A recipe for sparkling grape juice calls for 112 quarts of sparkling water and 34 quart of grape juice.
How much sparkling water would you need to mix with 9 quarts of grape juice? Response area of sparkling water.
How much grape juice would you need to mix with 154quarts of sparkling water? -- area of grape juice.
How much of each ingredient would you need to make 100 quarts of punch? ---- area of sparkling water and Response area of grape jui

Answers

Answer:

m

Step-by-step explanation:

What is the halfway between 5.3 and 5.4

Answers

Answer:

5.35

Step-by-step explanation:

5.3+5.4/2

10.7/2

5.35


Please help me :)
HIGGJFFJH

Answers

Answer:

128/512 or 1/4

Step-by-step explanation:

(2 x 2 x 2 x 2) x (2 x 2 x 2)= 16 x 8 = 128

-------------------------------------------------

(2 x 2 x 2 x 2 x 2) x (2 x 2 x 2 x 2)= 32 x 16 = 512

What is a physical quantity ?

Answers

Answer:

A physical quantity is a physical property of a material or system that can be quantified by measurement.

if n < 0
√(n^2) = ???
thank youuuuu

Answers

Answer:

-n

Step-by-step explanation:

The symbol √ means the principal square root.

The principal square root is always non-negative.

For example, even though the number 25 has two square roots, -5 and 5, since both (-5)² and (5)² equal 25, when you express the square root using the square root symbol, then √25 = 5, and not -5, since √25 means the principal square root of 25, and as a principal square root, it must be a non-negative number.

If n < 0, then you are dealing with negative numbers.

Once you square n to get n², n² is a positive number.

Then the square root of n², expressed with the square root symbol as √(n²) must be positive, so it equals -n.

Example:

Let n = -8.

Then n² = (-8)² = 64.

√(64) = 8

Compare 8 to -8. 8 is -(-8), just like we get -n.

Answer: -n

Please help if you can! A photographer rented a booth at an art fair for $630. The photographer sold each photograph for $45 and made a total of $1,980 after paying for the booth. How many photographs did the photographer sell at the fair?

Answers

He needed to make a total of 1980 + 630 = $2610

$2610 / 45 = 58

Answer: 58

parallel perpendicular or neither

Answers

Answer:

parallel

Step-by-step explanation:

4-2/-9-0= 2/-9

6-8/4+5= -2/9

how many sides does a regular polygon have if each of its interior angles is 170

Answers

Answer:

Step-by-step explanation:

Henry is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $118 and allows unlimited mileage. Company B has an initial fee of $55 and charges an additional $0.90 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.

Answers

Answer:

B.

Step-by-step explanation:

step by step explanation

Answer:

after 70 miles, company B will charge Henry more.

Step-by-step explanation:

at 70 miles both companies will charge the same price

118 = 55 + 0.9m

m = (118 - 55) divided by 0.9 = 70  

Other Questions
When testing the effect of penicillin on the growth of E. coli, penicillin would be considered the? A.independent variable B. dependent variable C. constant Which of the following could be the measure of the angle below What is it called when heat and pressure change one type of rock into another? (100 points)a metamorphismb erosionc depositiond crystallization You can buy a seat cushion at the College Softball World Series for $4. Theypaid $2.50 to have them made, and they make a profit of $300 when sold out.How many seat cushions did they have made? Hi! , im looking for some help here. ill give brainliest if able to. Solve the equation: (5y + 2)(y - 3) = -13(2 + y) Is how much, where and when you spend money the same as you using your right to free speech? This is 7th grade I just want to let you know what grade it is x^3 - 3x^2 + 4x - 12 A boy scout has 3 meters of rope. He cuts the rope into cords 3/5 m long. How many cords will he make? when they find these similarities they conclude that these organisms have a common Benefits and challenges that the Clergy class faced How does the alliteration in lines 27-28 impact the meaning of the poem? 4. Why did the Spanish first try to convert the Inca to Christianity? Why didn't this work? 50 POINTS PLS ANSWER THESEE ! .1.) Which political decision did Washington make during his administration?a) He created seven new government departments to give more power to the executive branch.b) He picked his own government leaders with approval from the legislature.c) He gave control of the executive powers to Congress.d) He gave the states new powers, favoring a weak central government.2.) Which statement about Washington's relations with the Native Americans is true?a) Washington believed that the Constitution prevented the national government from making treaties with the Native Americans.b) Washington refused to make treaties with any Native American groups and sent in troops to remove them from their lands.c) Washington approved treaties with Native Americans only if they provided protections for indigenous lands.d) Washington made treaties and had a mutual respect with many Native Americans, but he also encouraged their assimilation. capital is the amount of money paid into a company by its owners. true or false? What did the Second Continental Congress decide? (2 points) a George Washington would write a letter to King George III. b The American colonies needed their own army to protect themselves from the British Army. c The American colonies would try to work out a deal with the King and the British government. d Thomas Paine would write a song to unite the colonies. The function c(h)= (20h)/(h^2+2) models the concentration of a medication in the bloodstream h hours after its injection into the muscle tissue.-Does the graph have a vertical asymptote? If so, give the equation of the vertical asymptote and explain why this would be a concern or not. If the function does not have a vertical asymptote, explain why.-Find the horizontal asymptote, what does it mean in the context of this problem?-Does the function cross the horizontal asymptote? Does it make sense in the relation to this problem?I have the answers, I just dont understand how to explain them in the context of the problem. I need some help please. I don't understand this. :) Suppose you have samples of three unknown solids. Explain how you could use their properties todetermine whether or not they are ionic solids.