Porqué el valor del coeficiente de la variable al cuadrado de una función cuadratica no puede ser cero?

Answers

Answer 1

Answer:

Ver respuesta abajo

Step-by-step explanation:

Una ecuación cuadrática es una ecuación que tiene la siguiente forma:

ax² + bx + c = 0

Donde:

a, b y c: coeficientes numéricos que acompañan a la incógnita.

Ahora bien, una función cuadrática es basicamente la misma ecuación cuadrática pero representada graficamente en un plano cartesiano.

Para que una ecuación o función sea cuadrática es absolutamente necesario y obligatorio que su expresión en forma de ecuación tenga el elemento "ax²", pues el "cuadrado" que es el exponente 2 que eleva la incógnita es lo que le da la característica de ecuación o función cuadrática.

Si el coeficiente que acompaña al x², es decir, el valor de a es cero, automaticamente pierde la condición de ser una función o ecuación cuadrática pues dicho término se hace cero su valor. En otras palabras, si x es un número cualquiera y está representado como incógnita, ¿qué sucede cuando multiplicas cualquier número por cero?, en este caso, el resultado es igual a cero:

Ejemplo:

0x² = 0 * x² = 0.

Por tanto, si el término cuadrático se hace cero, ya pierde la condición de cuadraticidad, y su gráfico no sería de forma parabólica, solo quedaría los términos bx + c, pero eso ya pertenece a una ecuación lineal o función afín.

Espero esto te sirva.


Related Questions

The sides of a triangle formed a geometric progression with a ratio r. For what values of r, it is possible?

Answers

Answer:

ok so i really shouldnt get points for this, but i wanted to help. The person who solved the problem here:  https://math.stackexchange.com/questions/2911546/suppose-the-sides-of-a-triangle-form-a-geometric-progression-with-common-ratio-r     is correct, but it is not very clear. Basically, he rounded to the third decimal point (since a sqrt has infinate decimals), and this might have been what got you the wrong answer. Basically the important thing is that r has to be between the (-1+√5)/2 and (1+√5)/2, or (-1+√5)/2 < r < (-1+√5)/2

Sketch graph for y=x^2+x-12

Answers

Answer:

graph your welcome :)

Step-by-step explanation:

hope this helps! try using the app Desmos if you have difficulty drawing graphs!

Plz help due tomorrow

Answers

Answer:

4n+2=15

Step-by-step explanation:

If you count 4 n's and then add 2, the bar is the same length as the 15 bar. ~logic~

Find the missing angle measure. PLEASE HELP ASAP

Answers

Answer:

Angle 1 is 57 degrees

Angle 3 is 57 degrees

Angle 4 is 123 degrees

Step-by-step explanation:

Cause a straight line is 180 degrees and if angle 2 is 123 degress then angle 3 is 57 degrees and i got that by Subtracting 180-123 =57

Then for angles one you do the same maththat you do for finding angle 3

Then for angles 4 subtract 180-57=123

solve it...........!!!!​

Answers

Answer:

I think it is correct and is 1 and 2

Step-by-step explanation:

5×4^(x+1)-16^x=64

0=64+16^x-5×4¹×4^x

0=(4^x)²-2×4^x×10+10²-10²+64

0=(4^x-10)²-36

(4^x-10)²=36

4^x-10=√36

4^x=+-6+10

when positive

4^x=4²

:.x=2

when negative

4^x=4

:.x=1

:.x=1,2 answer.

How do you know
the quotient of 639 /
6 is greater than
100 before you actually divide

Answers

Answer:

because since the question is 639 / 6

we immediately know that 600 / 6 is 100

639 / 6 = 106.5

Answer:

You just need a little conversion to get the answer.

[tex]\frac{639}{6}=\frac{600}{6}+\frac{39}{6}\\ = 100+\frac{39}{6} >100[/tex]

Simplify expression below (7 + i)-(6-4)

Answers

Answer:

5 + i

Step-by-step explanation:

Answer:

5+i is the answer

Step-by-step explanation:

cause 6-4=2-7=5+i

The equation represents the area, A, of a rectangle, in square units.
A = x2 – 3 – 6
Which expression could represent the length of the rectangle, in units?
O (2-3)
O (2-2)
Ox
O 6.2

Answers

Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test.

3. A gardener mows 5 out of every 6 days. How many days would he mow
in a 90-day period of time? Plz I really need help ASAP

Answers

Answer:

Step-by-step explanation:

90(5/6)

450/6

75

9514 1404 393

Answer:

  75

Step-by-step explanation:

90 = 6 × 15

There are 15 6-day periods in 90 days. The gardener will have mowed ...

  15 × 5 = 75

times in those 15 periods.

He will mow 75 times in a 90-day period.

__

If you like, you can set up a proportion for the unknown number of mowings (m).

  mows/days = m/90 = 5/6

Multiply by 90 to solve for m.

  m = 90(5/6) = (90/6)(5) = 15(5) = 75 . . . . . . this should look like the above

- 10x - 5y = 5 - 4x + 5y = 23

Answers

The answer is (-2,3)

Segment AB is being dilated with the center at the origin. The image of A, point A prime, has coordinates of (3.2, 6.4). What is the scale factor of the dilation and the coordinates of point B prime?

Answers

Step-by-step explanation:

The location of A is 3.2

The location of A' is 6.4

A represent pre image A' represent the new image.

The scale factor of A to A' is 2 since 3.2 x 2 =6.4

Since you didnt provide B coordinates, just multiply 2 by the B coordinate to find the B prime coordinate.

Answer: A.)The scale factor is 0.8 and the coordinates of point B prime are (–3.2, –4.8).

Step-by-step explanation: i hope this helps im sorry if this didnt help

HElppppppppppp
I don’t get it

Answers

Answer:

You have to use a cacolator. 5 boxes and its 9 pounds of beans in each. 5x9 is 45 pounds. Rice should be the 80 pounds hope that helps

Step-by-step explanation:

What is the value of x?
Enter

X :

(Look at the photo)

Answers

Answer:

x = 20

Step-by-step explanation:

Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.

3x + 50 = 6x - 10

Solve by combining like-terms and isolating x. Move the 3x to the right by subtracting it from both sides.

50 = 3x - 10

Move the 10 to the left by adding it to both sides.

60 = 3x

Divide the 3 from both sides to isolate the x.

x = 20

Furthermore, this can be checked by plugging in 20 to x and seeing if the expression is true.

3(20) + 50 = 6(20) - 10

110 = 110

Factorize completely
80p2 - 180r2​

Answers

Answer:

80p2 - 180r2

20(4p²-9r²)

20(2p+3r)(2p-3r)

Answer:

20(2p - 3r)(2p + 3r)

Step-by-step explanation:

Given

80p² - 180r² ← factor out 20 from each term

= 20(4p² - 9r²) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b)

4p² - 9r²

= (2p)² - (3r)² ← with a = 2p and b = 3r

= (2p - 3r)(2p + 3r)

Thus

80p² - 180r² = 20(2p - 3r)(2p + 3r) ← in factored form

PLZ HELP ME PLZZZ I WILL GIVE BRAINLIEST......I REALLY NEED THE ANSWERS.

Answers

Answer:

2,4,2,1.7

Step-by-step explanation:

2,6,18,54 what is the 10th term of the sequence​

Answers

Answer:

78

Step-by-step explanation:

I'm really good at these

Answer:

Step-by-step explanation:

This is a geometric sequence with common ratio 3.

10th term = (4th term)×3¹⁰⁻⁴ = 54×3⁶ = 39366

-extra points- please help with this. all you have to do is state which method (factoring, using square roots, complete the square or quadratic formula) you would use in solving the quadratic equation and why you would use it. you can only use each method once for problems A through D

Answers

Answer:

Step-by-step explanation:

Can someone please help me solve these?

Answers

9514 1404 393

Answer:

  (c)  h(x) = (3x +4)(2x +1)

Step-by-step explanation:

The answer choices differ in the values they create for the last two terms of the trinomial. The last term (+4) is created by all of the choices except the first one.

The middle term (11x) is only created by the third choice:

  (3x +4)(2x +1) = (3x)(2x) +(3x)(1) +(4)(2x) +(4)(1)

  = 6x^2 +3x +8x +4

  = 6x^2 +11x +4 . . . . matches the given h(x)

how to solve problems on this website

Answers

Answer:

You go to whoever's question you wanna answer and it should say "add answer" and just type out your answer and solve it

Answer:

Theres a "add answer" just click on that and u will be able to add

Step-by-step explanation:

Expression 3x²+4x-5
x=0​

Answers

Answer:

x = {1/3, 0}

Step-by-step explanation:

awnser for brainliest and why u chose the awnser

Answers

Answer:

6 kilometers. This is because A,B, and C are all around 18 feet. However, 6 km = 19,685 feet and that is unrealistic.

Can someone please answer my question Geometric Sequence:
3, 6, 12, 24, …

Answers

Answer:

48

Step-by-step explanation:

You multiply by 2 each time

I believe it is multiplying by 2 each time.

3 x 2 = 6

6 x 2 = 12

12 x 2 = 24

So if this was true to continue we would just multiply by 2....

24 x 2 = 48

48 x 2 = 96

96 x 2 = 192

192 x 2 = 384

384 x 2 = 768

and continue for as long as you need to go....

Hope this helped!

If the school has 90 students, there are how many sixth graders?

Answers

Answer:

29

Step-by-step explanation:

Answer: Depends on the number of grades

Step-by-step explanation:

School has up to 6th grade: 15

School has up to 7th grade: 12

School has up to 8th grade: 11

School has up to 9th grade: 10

School has up to 10th grade: 9

Need more grades? Comment please

Find the missing value to the nearest hundredth.
Cos = 5/36

Answers

Answer:

Step-by-step explanation:

"cos" by itself is meaningless. It needs an argument.

cos(x°) = 5/36

x° = arccos(5/36) ≅ 82.2°

help please!!
Find the missing length indicated. Round to the nearest hundredth (two decimal places), if needed.

Answers

26 I think (i'm not sure please correct me.)

plz help me with this asap
81x^2 − 49y^2
Factorize each completely
1. y^2 − 1
2. x^2 − 2^2
3. x^2 − 4y^2
4. x^2 − 25b^2
5. 36 − 9m^2
6. 36a^2 − 169x^2

7. 81x^2 − 49y^2
8. 49r^2 − 16s^2
9. 144x^2 − 49
10. 64x^2 − 25
11. 81a^2 − 64b^2
12. 1 − 16x^2
13. 49x^2 − 1
14. (a + b)^2 − 2^2
15. (a − b)^2 − 1

Answers

Answer:

i will answer THIS.. just give me some time

For what value of x does f(x) = -3? *
.

Answers

Answer:

3

Step-by-step explanation:

ill mark brainlist plss help

Answers

he is going to need 37.5 ounces I guess

Determine how much you would receive in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest.

Answers

Answer:

You would receive $510.08 in return.

Step-by-step explanation:

In order to find the answer, you can use the formula to calculate the future value:

FV=PV*(1+i)^n

FV=future value

PV= present value= 500

i= interest rate=0.03/12=0.0025 per month

n= number of periods of time= 8

Now, you can replace the values in the formula:

FV=500*(1+0.0025)^8

FV=500*(1.0025)^8

FV=510.08

According to this, the answer is that you would receive $510.08 in return.

Answer:

I think it is $15

Step-by-step explanation:

Taking the test now.

help me please!!!!!!!!!!!!!!!!

Answers

Answer:

The second store is cheaper

1st store is $290 and the 2nd is $257

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