A quadratic equation of the form 0=ax2 bx c has a discriminant value of -16. how many real number solutions does the equation have?

Answers

Answer 1

The given quadratic equation has no real solutions.

Given quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

What does the discriminant of a quadratic equation tell?

The discriminant(D) of a quadratic equation tells about the nature of roots.

If [tex]D > 0[/tex], the roots of the quadratic equation will be real and distinct.

If [tex]D=0[/tex], the roots of the quadratic equation will be real and equal.

If [tex]D < 0[/tex],  the roots of the quadratic equation will be imaginary.

Given that the quadratic [tex]ax^2+bx+c=0[/tex] has a discriminant value of -16.

[tex]D=-16 < 0[/tex]

So, the roots of the given quadratic equation will be imaginary.

So, the given quadratic equation has zero real solutions.

Hence, the given quadratic equation has no real solutions.

To get more about quadratic equations visit:

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Related Questions

Susan took out a personal loan for $3,500 at an interest rate of 13% compounded monthly. she made arrangements to pay the loan off in 3 years. what will her monthly payment be? a. $99.34 b. $105.32 c. $117.93 d. $156.60

Answers

Susan's monthly payment will be $117.93.

We have Susan take out a personal loan for $3,500 at an interest rate of 13% compounded monthly.

P=3500

r=30%

t=3

What is the amortization formula?

[tex]A = \frac{P(\frac{r}{12} )}{(1 -(1 +r/12)^{(-12t)}}[/tex]

Where A is the payment,

P= principal,

r =the annual interest rate

t is the number of years.

use the given value in the formula we get

[tex]A = \frac{3500(0.13/12)}{(1 -(1 +0.13/12)^{-36} }[/tex]

A=117.9288

A= 117.93

Susan's monthly payment will be $117.93.

To learn more about the monthly payment visit:

https://brainly.com/question/25109150

Answer: C $117.93

Step-by-step explanation:

Condos in Padre Island increase in value by 7% each year. If the Garza's family's condo is now worth
$150,000, what will it be worth in 8 years (Round to the nearest cent) ? TEKS A2.5(B)(D)

Answers

257727 I used this formula y=150000(1+0.07)^8

100 points and brainliest please help i only got 10 minutes!

Answers

Answer:

Step-by-step explanation:

(a)

Data Set 1

Mean : 70 + 65 + 72 + 80 + 73 / 5Mean = 357/5 = 71.4Deviation from Mean : 1.4 + 6.4 + 0.6 + 8.6 + 1.6 / 5M.A.D = 18.6/5 = 3.72

Data Set 2

Mean : 61 + 47 + 70 + 63 + 54 / 5Mean : 295/5 = 59Deviation from Mean : 2 + 12 + 11 + 4 + 5 / 5M.A.D. = 34/5 = 6.8

Comparison

On comparing the Mean Aboslute Deviation values of the two games, it is seen that that the Leaping Lizards game has a higher MAD than the Jumping Jackrabbits game, which means the scores deviate more in the Leaping Lizards game, whereas in the other game it is consistent

HELP!! I NEED HELP WITH MY MATH

Answers

Answer:

partA option B is the correct answer

partB option A is the correct answer

WILL GIVE BRAINLIEST TO THE FIRST PERSON !!! p(a)=0.60 p(b)=0.30 and p(a and b)=0.15. What is p (A or B)?


A. 0.15

B. 0.18

C. 0.75

D. 0.90

Answers

Answer:

C. 0.75

Step-by-step explanation:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.60 + 0.30 - 0.15

P(A or B) = 0.75

Using only an addition, how do you add eight 8’s and get the number 1000?

Answers

888 + 88 + 8 + 8 + 8 = 1000

have a nice day!

888 + 88 + 8 + 8 + 8 = 1000

hope this helps....

A rectangle has the sum of length and breadth 20 cm. find the perimeter.​

Answers

Answer:

40 cm.

Step-by-step explanation:

[tex]Because=(long+width)\times 2=perimeter[/tex]

[tex]50:the\ perimeter=20\times 2=40\ cm[/tex]

I hope this helps you

:)

Please solve this one

Answers

Answer:

Step-by-step explanation:

A spinner is divided into five colored sections that are not of equal size: red,
blue, green, yellow, and purple. The spinner is spun several times, and the
results are recorded below:
Spinner Results
Color Frequency
7
16
Red
Blue
Green
Yellow
Purple
19
8
3
Based on these results, express the probability that the next spin will land on
yellow as a percent to the nearest whole number.

Answers

Answer:

15.09%

Step-by-step explanation:

Sum of frequencies = 53

Probability = 8

53

=0.1509

Expressing as a percentage

>> 15.09%

Can someone help me with this problem?

Answers

Answer:

3 (4+13)

Step-by-step explanation:

The GCF of 12 and 39 in 3 so then you divide 12 and 39 by 3.

What is the measure of z?

Answers

Brainly is backed by Naspers, Kulczyk Investments, General Catalyst Partners, Point Nine Capital, Runa Capital, and Learn Capital. In 2009, Lukasz Haluch, Michał Borkowski, and Tomasz Kraus co-founded the company in Kraków, Malopolskie, Poland and is available in 35 countries.

Someone solve number 9 and 10 please just give answer

Answers

Answer:

9.) 37.55102% or 37.6 depending on how deep into the question you are required to go.

10.) not sure. someone else will have to help you

Step-by-step explanation:

work out the value of 21+2x when x = -2

Answers

Hey there!


21 + 2x

= 21 + 2(-2)

= 21 - 4

= 17


Therefore, your answer is: 17


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

1. X=7 and y=3

A. X+Y=

B. X+X+Y=

C. 2X+5Y=

D. 8(X+Y)=

E. 15(2X+Y+Y)=

Answers

Answer:

A. 10

B. 17

C. 29

D. 80

E. 300

Step-by-step explanation:

A.

x + y

7 + 3

10

B.

x + x + y

7 + 7 + 3

14 + 3

17

C.

2x + 5y

2(7) + 5(3)

14 + 15

29

D.

8(x + y)
8(7 + 3)

8(10)

80

E.

15(2x + y + y)

15(2(7) + 3 + 3)

15(14 + 3 + 3)

15(17 + 3)

15(20)

300


Adults can burn 210
calories per hour riding a
bike. If your bike ride was
21 hours, how many
calories would 8 adults
burn?

Answers

Answer:

210 x 21 = 4410 calories burned for 1 adult

4410 x 8 = 35280 calories burned for 8 adults

Step-by-step explanation:

First you figure out how much calories are burned total for 1 adult on a 21 hour bike ride with the information that you know of how much adults burn.

Next you multiply your answer by 8 to figure out the total of calories burned for all 8.

Step-by-step explanation:

35280 calories would be burnt.

I think it will help you.

210×21=4410

Now,

4410×8= 35280.

help!!! 25 points !!

Answers

Answer:

plan c. is the answer byebye

How much will it cost the company to make 600 helmets? $

Answers

Answer:

15,600

Step-by-step explanation:

Answer:

15,600

Step-by-step explanation:

Does the budgeted amount cover the actual amount for expenses,savings,and emergencies? A. No it’s short $207.00 B.No it’s short $227.00 C.Yes,there’s a surplus of $207.00 D yes there’s is a surplus of 227.00

Answers

Considering the differences in the budgeted and used amoints, it is found that the correct option is given by:

A. No it’s short $207.00.

In the graph, what are the differences between the budgeted and used amounts?

In utilities, there was a surplus of $20.In groceries, the budget was $150 short.In clothing, the budget was $75 short.In gas, the budget was $2 short.

Hence, the difference between the budgeted amount and the used amount is given by:

20 - (150 + 75 + 2) = -207.

The budget was $207 short, hence option A is correct.

A similar problem, in which an amount is studied, is given at https://brainly.com/question/25537936

Does anyone get this?! ISTG IF ONE OF U BOTS DROP A LINK IM GONNA-

Only answer if you know :)

Answers

Answer:

Diagonal : 10.2

Longer side: 6

Shorter side: 4

Step-by-step explanation:

Answer:

The Answers are 10.6 for the first one 6 for the second one and 4 for the third one

Step-by-step explanation:

Hope this helps sry if I'm wrong

I also needed the points :)

3x^2+7x+14=-7x to the nearest tenth

Answers

Answer:

hope this helps

Step-by-step explanation:

3x^2+ 14 x+14= 0

-3.22 , -1.45

Liam is designing a patio and fountain for his backyard. The fountain will cover 50 square feet. The remaining space will be cover with tiles If one tile covers 2.25 square feet, how many tiles will Liam need?

Answers

Answer:41 tiles

Step-by-step explanation: this is assumption from other work of the 10x14.225 picture

Line segment AB was dilated by a scale factor of 12. What are the coordinates for the image A' and B' in the image?

Answers

Answer:A(24,48) B(72,24)

Which situation below has the highest constant of
proportionality?
A) 16 ounces of jasmine rice costs $4.80.
B) 32 ounces of white rice costs $6.40
C) 12 ounces of white rice costs $1.20.
D) 9 ounces of brown rice costs $1.80

Answers

Answer:

A) k = 0.3

Step-by-step explanation:

Find the constant of proportionality k in each case and compare

y = kx

A)

16k = 4.80 ⇒ k = 4.80/16 ⇒ k = 0.3

B)

32k = 6.40 ⇒ k = 6.40/32 ⇒ k = 0.2

C)

12k = 1.20 ⇒ k = 1.20/12 ⇒ k = 0.1

D)

9k = 1.80 ⇒ k = 1.80/9 ⇒ k = 0.2

As we see k = 0.3 is the highest one

We need unit rates for all

#A

4.80/160.3

#B

6.4/320.2

#C

1.2/120.1

#D

1.8/90.2

A has highest

A medium pizza cheese pizza a papa johns costs $6.80 plus $0.90 for each topping. The cost of a medium cheese pizza at pizza hut is $7.30 plus $o.65 for each topping. How many toppings need to be added to a large cheese pizza from papa johns and pizza hut in order for the pizzas to cost the same, not including tax?

Answers

Answer:

I hope I answered your question!

Step-by-step explanation:

6.80+0.90x=7.30+0.65x (multiply by 100 on both sides)

680+90x=730+65x

50=25x

x=2

Therefore you need to add 2 toppings to each pizza to make them cost the same.


500 Rounded to the ones place. (whole number)


Answers

Answer:

500

Remember the rounding rule for the ones place...

0 to 4? Round down or keep the same.

5 to 9? Round up.

__________________________________________________________

Questions?

Ask in comments.

It would stay 500! Hope this helped

what is the equation to represent these words the product of a number and 5 is 8

Answers

Answer:

let's say the Missing number is called 'y'.

product means multiplication so

y x 5 = 8.

Hope this at least helps.

Step-by-step explanation:

y x 5 =8

5y = 8

y = 8/5

8/5 hope this helps man

What is the value of c to complete the perfect trinomial? r^2+34r+c

Answers

Answer:

c = 289

Step-by-step explanation:

The discriminant is equal to zero. a = 1, b=34

[tex]b^{2} -4ac=0\\(34)^{2} -4(1)c=0[/tex]

[tex]1156-4c=0[/tex]

[tex]-4c=-1156[/tex]

[tex]c=\frac{-1156}{-4} =289[/tex]

Hope this helps

Which function in vertex form is equivalent to f(x) = x2 8 – 16x? f(x) = (x – 8)2 – 56 f(x) = (x – 4)2 0 f(x) = (x 8)2 – 72 f(x) = (x 4)2 – 32

Answers

The function in vertex form that is equivalent to the equation f(x) = x^2 + 8 - 16x from the given options is given by: Option A: f(x) = (x-8)^2 -56

What is vertex form of a quadratic equation?

If a quadratic equation is written in the form

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

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

Since it is specified that the options are in vertex form, so let we convert the given equation to vertex form.

The specified equation is: [tex]f(x) = x^2 + 8 - 16x[/tex]

Converting to vertex form:

[tex]f(x) = x^2 + 8 - 16x\\\\f(x) = x^2 -16x + 8\\[/tex]

(let we make terms such that it becomes (a+b)^2 's formula).

[tex]f(x) = x^2 -16x + 8\\f(x) = x^2 -2\times8x + (-8)^2 -(-8)^2 + 8\\f(x) = (x-8)^2 -64 + 8\\f(x) = (x-8)^2 -56[/tex]

Thus, the function in vertex form that is equivalent to the equation f(x) = x^2 + 8 - 16x from the given options is given by: Option A: f(x) = (x-8)^2 -56

Learn more about vertex form of a quadratic equation here:

https://brainly.com/question/9912128

Answer:

A

Step-by-step explanation:

Which fraction is the smallest?
A. 3/4
B. 3/5
C. 3/7
D. 3/9

Answers

Answer:

D. 3/9

Step-by-step explanation:

Attached below is a picture with each fraction illustrated.

what will happen to the mean and mad of this distribution if i move the clinics graph to the right

Answers

Step-by-step explanation:

Graph to move right

As we can see mad is same (10)

Hence it doesn't affect the mad what we do with base axis

So if we turn mean to right it gets bigger.

Option A is correct

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