Find the discriminant and the number of real roots for this equation.
x^2 + 3x + 8 = 0

A. 32; two real roots
B. -23; one real root
C. 32; one real root
D. -23; no real roots

Answers

Answer 1

I wrote it down, sorry if it’s a little bit messy.

Find The Discriminant And The Number Of Real Roots For This Equation.x^2 + 3x + 8 = 0A. 32; Two Real
Answer 2

The correct option regarding the discriminant and the number of real roots for this equation is given by:

D. -23; no real roots

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The solutions are as follows:

If [tex]\mathbf{\Delta > 0}[/tex], and it is a perfect square, it has 2 real solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has 1 real solution.If [tex]\mathbf{\Delta < 0}[/tex], it has 0 real solutions.

In this problem, the function is:

x² + 3x + 8.

Hence the coefficients are a = 1, b = 3, c = 8, and the discriminant is given by:

[tex]\Delta = b^2 - 4ac = 3^2 - 4(1)(8) = -23[/tex]

Negative discriminant, hence no real roots, and option D is correct.

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Related Questions

someone please help me!! will mark brainliest :)

Answers

Answer:

hi

Step-by-step explanation:

i'll happy to help you but there isn't question

have a nice day

Answer:

If you make another question, with the picture, i will help you!

Step-by-step explanation:

Have a nice day/night!

Today is your 10th birthday, and you decide to start saving for your college education. You will begin college on your 20th birthday and will need to pay ksh144,000 at beginning of first in a 4- year program. Fees will increase at inflation rate of 10% per year. You will make a deposit 1 year from today in an account paying 12% (percent) annually and continue to make an identical deposit each year up to and including the year you begin college. What should be the size of your deposit?

Answers

Answer:

The size of your deposit should be $13,023.92.

Step-by-step explanation:

First, the real interest has to be calculated using the following formula:

r = [(1 + i) / (1 + inf)] - 1 ..................... (1)

Where;

i = market interest rate = Interest rate on the account = 12%, or 0.12

r = real interest rate = ?

inf = inflation rate = 10%, or 0.10

Substituting the values into equation (1) and solve for r, we have:

r = [(1 + 0.12) / (1 + 0.10)] - 1 = 0.0181818181818183

Since you will need to pay ksh144,000 at beginning of first in a 4- year program, this implies that the relevant to use in calculating the size of the deposit is the formula for calculating the Future Value (FV) of an Annuity Due as follows:

FV = P * (((1 + r)^n - 1) / r) * (1 + r) ................................. (2)

Where,

FV = Future value or the amount needed to pay on the 20th birthday = ksh144,000

P = Fixed annual payment or size of the deposit = ?

r = real interest rate = 0.0181818181818183

n = number of years = 20 - 10 = 10 (Since you will make a deposit 1 year from today annually and continue to make an identical deposit each year up to and including the year you begin college.)

Substituting the values into equation (2) and solve for P, we have:

144,000 = P * (((1 + 0.0181818181818183)^10 - 1) / 0.0181818181818183) * (1 + 0.0181818181818183)

144,000 = P * 10.8591414092614 * 1.0181818181818183

144,000 = P * 11.0565803439752

P = 144,000 / 11.0565803439752

P = $ 13,023.92

Therefore, the size of your deposit should be $13,023.92.

Given the diagram below, what is son (30)

Answers

Sin (30) = 1/2

Option B is the correct answer.

Step-by-step explanation:

[tex] \sin(30) = \frac{1}{2} [/tex]

10 points!!!!!
1-16 please finish quickly

Answers

the question is blurry for me take a picture of that again

Can you help plz

EEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

V = 125 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cube Formula: V = a³

a is any side length

Step-by-step explanation:

Step 1: Define

Identify variables

a = 5 cm

Step 2: Find Volume

Substitute in variables [Volume of a Cube Formula]:                                    V = (5 cm)³Evaluate exponents:                                                                                         V = 125 cm³

Answer:

125cm^3

Step-by-step explanation:

Volume of a cube = l^3

Where l = length of cube

The given length of the cube is 5cm

Hence Volume = 5^3 = 125cm^3

On the image below, which is the correct answer?

Answers

Answer:

d

Step-by-step explanation:

its the correct answer

Hope this helps:)

Hi can anyone help me with this Q ? It’s for my final. I would appreciate it a lot !!
-
The angle of elevation from a boat to the top of a 125ft hotel is 22°
How far is the boat from the base of the hotel ? ( round to the nearest TENTH )

Answers

Answer: B

Step-by-step explanation:

Bc said so

A cell phone company wants to determine the average amount of data that their smart phone customers use each month. Which group would best represent a sample of the population?

one thousand of their customers with the most expensive monthly plans
one thousand of their customers who most recently signed up with the company
one thousand of their customers with a current smart phone data plan
one thousand of their customers who called in for technical support

Answers

The group that best represents a sample of the population is one thousand of their customers with a current smart phone data plan.

What is the appropriate sample of the population?

A sample is a smaller representative group of the population. A sample is used as it might not be feasible or cost effective to access the whole population.

The appropraite sample should be representative of the whole population of customers.

To learn more about sample, please check: https://brainly.com/question/18521835

The group that would best represent a sample of the population is given by: Option C: one thousand of their customers with a current smart phone data plan.

Why do we do sampling?

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).

We've to collect sample in such a way that we can get a widespread view of the population (all customers). We want to do sampling for getting the average amount of data that their smart phone customers use each month.

Option A, B and D are choosing those customers, which are like a special part of the customers, and not an overall coverage of the customer the cell phone company has.

But option C covers assumingly all sorts of customers who use internet data.

Thus, the group that would best represent a sample of the  is given by: Option C: one thousand of their customers with a current smart phone data plan

Learn more about sampling here:

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The picture up above

Answers

Answer:

its being reflected over the y-axis

Step-by-step explanation:

a=7 c=25 b=? plz help ​

Answers

Answer:

b=24

Step-by-step explanation:

b=  [tex]\sqrt{a^{2}-x^{b} }[/tex]

The answer to b=? Is 24

Please answer 8,9, and 10!!

Answers

Answer:

260,

43.73,

34.28

Step-by-step explanation:

8. Triangle's base is 10, height 4.

10 * 4 = 40

40/2 = 20

24 * 10 = 240

240 + 20

= 260

9. Radius 3.

πr²

12 * 6 = 72

72 - 9π

≈43.73

10. Semicircle has a radius of 2.

2²π

4π/2 = 2π

≈6.28

6.28 + 28 = 34.28

≈34.28

8. It has Triangle embedded to a Rectangle

Area of Figure =Area of Triangle + Area of Rectangle

Area of Triangle = ½ base x height

= ½ x 10 x 8 =40

Area of Rectangle= 24 x 10 =240

TOTAL AREA OF FIGURE = 240 + 40 = 280

9.

Its a rectangle with a Circle in the Middle

Area of Shaded Region would be

Area of Rectangle – Area of circle

Area of Rectangle = 12 x 6 =72

Area of Circle = πr² = π x 3² = 28.27

AREA OF SHADED REGION= 72 - 28.27

=43.73in².

10.

The shape contains a semicircle on a rectangle

Area of the shape = Total Surface Area of semicircle + Area of a Rectangle

Total Surface Area of a semi circle=2πr²

Diameter was given = 4cm

Radius = Diameter/2 = 4/2 = 2cm

= 2 x π x 2² = 25.13cm²

Area of rectangular part = 4 x 7 =28cm²

AREA OF FIGURE = 25.13 + 28 =53.13cm².

Pls notify me if there are any Mistakes.

Have a great day!

Help please guys if you don’t mind

Answers

Answer:

220 people per year.

that is the answer

Green paint is made by mixing yellow and blue. white paint in the ratio 2:7 . how much blue paint is needed to make 64 liters of green paint​

Answers

Answer:

Green paint is made by mixing blue, yellow and white paints in the ratio 2 : 7 : 1. How much blue paint is needed to make 64 litres of green paint? Therefore, the required blue paint = 12.8 litres

Step-by-step explanation:

Which inequalities are true? Select the four correct answers.
0< √8

√8 <3

√8 >√7

√8 < 2

√8 >8

1< √8

Answers

Answer:

Step-by-step explanation:

True

True

True

False

False

True

Can someone please answer this I’ll give brainliest

Answers

Answer:

Step-by-step explanation:

If you look at the diagram, you notice there are two triangular bases and three rectangular faces.

Therefore, the surface area, or the total area of all the bases and faces, would be the area of one triangular base multiplied by 2 and the area of each rectangular face

area of triangle = (1/2)*height*base

area of triangular base = (1/2)*15*28 = 210 cm^2

area of rectangle = base*height

area of rectangular face #1 = 25*30 = 750 cm^2

area of rectangular face #2 = 17*30 = 510 cm^2

area of rectangular face #3 = 28*30 = 840 cm^2

total surface area = 2*210 + 750 + 510 + 840 = 2520 cm^2

Jude arrived at work 7:55 am and left at 4:15pm . For how long was he at work​

Answers

Answer:

500 minutes= 8.33 hr

Step-by-step explanation:

The number of hours that he works will be 8 hours and 20 minutes.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Jude arrived at work at 7:55 am and left at 4:15 pm.

Convert the time into 24 hours system. Then we have

4:15 pm = 16: 15

7:55 am = 7: 55

Then the number of hours is given as,

    16: 15

  -  7: 55

     8: 20

Then the number of hours that he works will be 8 hours and 20 minutes.

More about the Algebra link is given below.

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PLEASE HELPPPPPPPPPPPPPPPPPPPP ME

Answers

Answer:

Step-by-step explanation:

We can use a proportion to solve this problem

26.5 : 100 = x : 7600

x = (26.5 * 7600)/100 = $2014 (increase in dollars)

Year - end amount = 7600 + 2014 = $9614

Jessica is 8 years old. Kayla is 6 years younger than twice Jessica’s age. Which expression represents Kayla’s age?

A. (8*6)-2
B. ( 8*2) -6
C. 8*(6-2)
D. 8* (2-6)

Answers

Answer:

B

We find twice Jessica’s age and then subtract 6 since she is 6 years younger than that.

Answer:

B. (8*2) -6

Step-by-step explanation:

Since Jessica is 8, and Kayla is 6 years younger than twice (doubled) Jessica's age, this means that Kayla is 6 years younger than 16. Therefore the equation would be (8*2)-6.

In the diagram, If mÐAOB = (3x)° and mÐBOC = (5x – 6)°, then what is the value of x?

Answers

Answer:

X=12

Step-by-step explanation:

Given, OC⊥AD , ∠AOB=3x° & ∠BOC=(5x-6)° .

We Know ∠AOC=90

& ∠AOC=∠AOB + ∠BOC

90 = 3x + (5x-6)

90+6 = 8x

8x=96⇔x=12

 

(For Diagram,Please find in Attachment)

on a saturday morning, owen earned 27 dollars. by the end of the afternoon, owen earned a total of 62 dollars. enter an equation, using x as your variable, to determine whether owen earned 35 or 33 on saturday afternoon. ​

Answers

Answer:

its 36 dollars

Step-by-step explanation:

27 + x = 62

x = 62 - 27

x = 36

Which of the following correlation coefficients would represent the strongest correlation? -0.9 -0.16 0.04 .78

Answers

Answer:

0.4 would represent the strongest correlation.

Step-by-step explanation:

Generally, a value of r greater than 0.7 is considered a strong correlation. Anything between 0.5 and 0.7 is a moderate correlation, and anything less than 0.4 is considered a weak or no correlation

Two runners start from the same point at the same time. They will be 4 miles apart at the end of two hours if running in the same direction, and they will be 16 miles apart at the end of one hour if running in opposite directions. Find their speeds.

Answers

Answer:

runner 1 runs with 9 miles / hour

runner 2 runs with 7 miles / hour

Step-by-step explanation:

x = speed of runner 1

y = speed of runner 2

2 hours × (x miles / hour) - 2 hours × (y miles / hour) = 4 miles

2x - 2y = 4

x - y = 2

x = y + 2

1 hour × (x miles / hour) + 1 hour × (y miles / hour) = 16

x + y = 16

y + 2 + y = 16

2y + 2 = 16

2y = 14

y = 7 miles / hour

x = y + 2 = 9 miles / hour

Gerald bought a computer on the installment plan. The price was $1,560. He paid $82 a month for 24 months
What did Gerald pay in finance charges?
O $310
O $408
O $456
O $620

Answers

Answer:

$408

Step-by-step explanation:

Which shows the front view of the figure shown?

Answers

The front view of the figure is figure A.

What is the difference between normal surfaces and hidden lines?

Normal surfaces exist surfaces that stand at 90° to each other.

Hidden lines exist utilized to display surfaces that stand not directly visible. All surfaces must be displayed in all sights. If an edge or surface exists obstructed from sight by another feature, it stands drawn utilizing a hidden line.

The front view of the figure is figure A.

Therefore, the correct answer is option A.

To learn more about normal surfaces

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Which similarity postulate or theorem can be used to verify that the two triangles shown below are similar?

Answers

Answer:

C. Similarity cannot be determined

Step-by-step explanation:

Two triangles are considered similar when all three angles are equal and also when the ratio of their corresponding side lengths are equal.

Since we only know the angles of the two triangles given and we are not given the side lengths to determine if their corresponding ratio is the same, we therefore cannot determine if the two triangles are similar in anyway.

The length of a rectangle is 6 yards more than 8 times the width. The perimeter is 102 yards. Find the length and width.

•show work/steps!!
•any links/wrong answers will be reported

Answers

l•w=102
l=8w+6
8w+6•w=102
9w+6=102
102-6=96
9w=96
96/9= 10.67
Width is 10.67 yards

5 3 Divide: 3 4
[tex] \frac{5}{?8 \div \frac{3}{?4} } [/tex]

Answers

Answer:

Step-by-step explanation:

x

Find the slope of a line parallel to 3x – y = 1.
A. –3
B. 3
C. one third
D. negative one third

Answers

Answer:

m =3

Step-by-step explanation:

3x – y = 1

First put the line in slope intercept form

y = mx+b where m is the slope and b is the y intercept

-y = -3x+1

y = 3x-1

The slope is 3

We want a line parallel, which means the lines have the same slope

m =3

he tables for f(x) and g(x) are shown below.

x
f(x)
–5
–11
–2
1
1
13
5
29

x
g(x)
–5
–7
–2
–1
1
5
5
13

What is the value of (f – g)(5)?
–18
–4
16
42

Answers

Answer:

[tex](f - g)(5) = 16[/tex]

Step-by-step explanation:

Given

See attachment for tables

Required

[tex](f - g)(5)[/tex]

This is calculated as:

[tex](f - g)(5) = f(5) - g(5)[/tex]

From the table, we have:

[tex]f(5) = 29;\ \ g(5) = 13[/tex]

So:

[tex](f - g)(5) = 29 - 13[/tex]

[tex](f - g)(5) = 16[/tex]

Answer:

Keep it simple: 16

Step-by-step explanation:

ITS URGENT! PLEASE HELP!

Answers

Answer:

x = -3    b no answer is 1/27000

Step-by-step explanation:

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