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

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:

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

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

Answers

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

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

Answers

Answer:

Step-by-step explanation:

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:

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

parallel perpendicular or neither

Answers

Answer:

parallel

Step-by-step explanation:

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

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

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:

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?

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

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

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

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

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

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.

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

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

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:

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

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

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


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

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  

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

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

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.

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

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

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