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Crank
2 years ago
14

Which of the following statements is true

Mathematics
1 answer:
Anettt [7]2 years ago
3 0

Answer:

  c. This quadratic equation has two complex solutions.

Step-by-step explanation:

Of the choices ...

  a. This quadratic equation has exactly one real solution.

  b. This quadratic equation has two real solutions.

  c. This quadratic equation has two complex solutions.

  d. This quadratic equation has no solutions.

The one that is true is <em>c: two complex solutions</em>.

__

The discriminant of quadratic ax^2 +bx +c = 0 is ...

  d = b^2 -4ac

For this quadratic, the value is 6^2 -4·5·2 = -4.

When the discriminant is positive, there are two distinct real solutions.

When the discriminant is zero, there is one real solution.

When the discriminant is negative, there are two complex solutions. The discriminant of this quadratic is negative, so there are two complex solutions.

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X+y = -15 in y = mx+b form
gayaneshka [121]

Answer:

y=-15x+b

Step-by-step explanation:

Just move it around and use a calucator

8 0
2 years ago
Find the measure of the missing angles! Pls help thank you
Bond [772]

Answer:

Step-by-step explanation:

<em>d = 52°</em>

<em>e = 77°</em>

<em>f </em>= 180° - ( 52° + 77° ) =<em> 51°</em>

3 0
2 years ago
Least to greatest. 26.2, 262%, 2 3/5 (two and three fifths)
9966 [12]

Answer:

Step-by-step explanation:

BACD

3 0
3 years ago
Determine whether the given function is a solution to the given differential equation.
lesantik [10]

Given :

A function , x = 2cos t -3sin t               .....equation 1.

A differential equation , x'' + x = 0      .....equation 2.

To Find :

Whether the given function is a solution to the given differential equation.

Solution :

First derivative of x :

x'=\dfrac{d(2cos t - 3sin t)}{dt}\\\\x'=\dfrac{d(2cost)}{dt}-\dfrac{(3sint)}{dt}\\\\x'=-2sint-3cost

Now , second derivative :

x''=\dfrac{d(-2sint-3cost)}{dt}\\\\x''=-\dfrac{d(2sint)}{dt}-\dfrac{d(3cost)}{dt}\\\\x''=-2cost+3sint

( Note : derivative of sin t is cos t and cos t is -sin t )

Putting value of x'' and x in equation 2 , we get :

=(-2cos t + 3sin t ) + ( 2cos t -3sin t )

= 0

So , x'' and x satisfy equation 2.

Therefore , x function is a solution of given differential equation .

Hence , this is the required solution .

8 0
3 years ago
de los vecinos de la casa de rosa, 2/7 son rubios y la cuarta parte de estos tienen los ojos azules, sabiendo que hay 6 vecinos
Neko [114]

Queremos encontrar y resolver una ecuación algebraica para encontrar el <u>número de vecinos de la casa de Rosa.</u>

La solución es: La casa de Rosa tiene 84 vecinos.

<em>La información que se nos da es:</em>

  • 2/7 de el número total de vecinos son rubios.
  • La cuarta parte de estos, es decir: (1/4)*(2/7) del número total, tiene ojos azules.
  • Sabemos que hay 6 vecinos con ojos azules.

Si definimos a N como el número total de vecinos, tendremos que:

(1/4)*(1/7)*N = 6

Ahora solo debemos resolver esto para N, para ello multiplicamos por 4 y por 7 en ambos lados:

4*7*(1/4)*(2/7)*N = 4*7*6

2*N = 168

Ahora dividimos por 2 ambos lados:

2*N/2 = N = 168/2 = 84

<u>La casa de Rosa tiene </u><u>84</u><u> vecinos.</u>

<u />

Sí quieres aprender más, puedes leer:

brainly.com/question/15251185

6 0
2 years ago
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