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AlekseyPX
3 years ago
14

From the set {6, 7, 11}, use substitution to determine which value of x makes the equation true.

Mathematics
2 answers:
kotykmax [81]3 years ago
3 0
11 if you multiply 11 by both the number and and the variable you’ll get 11x-55=66. Add 55 to each side which will give you 121 then divide that by 11
mina [271]3 years ago
3 0

Answer:

11

Step-by-step explanation:

1.Como primer paso debemos realizar la distributiva para destruir ese paréntesis :

11x-55=66

2. Después procedemos a dejar la variable a despejar en lado izquierdo del igual y las constantes al lado derecho :

11x=55+66

11x=110

3. Por ultimo procedemos a despejar esa x que esta acompañada de una constante de tal forma la constante que esta multiplicando pasara a dividir con la otra constante :

x=110/11

x=11

De tal manera la respuesta es aceptable ya que 11 se encuentra dentro del conjunto {6, 7, 11}


Otra manera es sustituir el 6,7,11 para saber  cual cumple la ecuación

x=6

11(6-5)=?66

11(1)=11---->Esto es incorrecto 11 No es igual a 66

x=7

11(7-5)=?66

11(2)=22---->Esto es incorrecto 22 No es igual a 66

x=11

11(11-5)=?66

11(6)=66---->Esto es correcto 66 Si es igual a 66

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108

Step-by-step explanation:

Since 18 x 2 = 36 you can just multiply 54 x 2. 54 x 2 =108

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2 years ago
A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time
galben [10]

Answer:

The height at time of 12.1 seconds is approximately 729.2562 feet

Step-by-step explanation:

The general form of the quadratic regression equation is y = A + Bx + Cx²

The quadratic regression formula is given as follows;

B = \dfrac{S_{xy}S_{x'x'}-S_{x'y}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}

C = \dfrac{S_{x'y}S_{xx}-S_{xy}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}

A = \bar y - B \bar x - C \bar {x^2}

S_{xx} = \Sigma (x_i - \bar x)^2

S_{xy} = \Sigma (x_i - \bar x)(y_i - \bar y)

S_{xx'} = \Sigma (x_i - \bar x)(x^2_i - \bar {x^2})

S_{x'x'} = \Sigma (x^2_i - \bar {x^2})^2

S_{x'y} = \Sigma (x^2_i - \bar {x^2})(y_i - \bar {y})

Solving using an online quadratic regression calculator, gives;

A = 2.5643259

B = 246.6374865

C = -15.41986006

Substituting gives;

y = 2.5643259 + 246.6374865·x -15.41986006·x²

When time, x = 12.1, we have;

y = 2.5643259 + 246.6374865×12.1 -15.41986006×12.1²≈ 729.2562 feet

The height at time of 12.1 seconds ≈ 729.2562 feet.

8 0
2 years ago
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