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2 years ago

1. f(x) = 3x^3 - x^2 - 2x what are the possible rational zeros for this?

Mathematics

2 answers:

mr_godi [17]2 years ago

4 0

Answer:

here is the answer.....hope it helps you!❤️

mafiozo [28]2 years ago

4 0

Answer:

x = 0, $\frac{2}{3}$ , and 1

Step-by-step explanation:

We have our equation 3 $x^{3}$ - $x^{2}$ - 2x.

We can factor out an x like this: x(3 $x^{2}$ - x - 2)

From here, it is easy to see that: x(3x + 2)(x - 1)

Now, we just set our equation to 0 like this: 0 = x(3x + 2)(x - 1)

So,

x = 0

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = $\frac{2}{3}$

x - 1 = 0 ⇒ x = 1

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Matthew participates in a study that is looking at how confident students at SUNY Albany are. The mean score on the scale is 50.

Alex Ar [27]

Answer:

b) 6.68%

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean score on the scale is 50. The distribution has a standard deviation of 10.

This means that $\mu = 50, \sigma = 10$

Matthew scores a 65. What percentage of people could be expected to score the same as Matthew or higher on this scale?

The proportion is 1 subtracted by the p-value of Z when X = 65. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{65 - 50}{10}$

$Z = 1.5$

$Z = 1.5$ has a p-value of 0.9332.

1 - 0.9332 = 0.0668

0.0668*100% = 6.68%

So the correct answer is given by option b.

7 0

2 years ago

1. De una encuesta realizada a 120 personas sobre el consumo de albaricoque, banana y coco se obtuvieron el siguiente resultado.

Pachacha [2.7K]

Answer:

El número de personas que consumen dos productos es 30.

Step-by-step explanation:

El primer paso para resolver el problema es realizar los gráficos de los eventos (agregaré como archivo adjunto el gráfico del ejercicio).

En el gráfico podemos ver 7 regiones :

A : Personas que consumen sólo albaricoque.

B : Personas que consumen sólo banana.

C : Personas que consumen sólo coco.

D : Personas que consumen sólo albaricoque y coco.

E : Personas que consumen las tres frutas (albaricoque, banana y coco).

F : Personas que consumen sólo banana y coco.

G : Personas que consumen sólo albaricoque y banana.

Ahora, debemos escribir las ecuaciones que nos brinda el ejercicio :

La encuesta se realizó a 120 personas y se sabe que todas las personas consumen un producto ⇒

$A+B+C+D+E+F+G=120$ (I)

''El número de personas que consumen sólo albaricoque y coco es la mitad de las que consumen sólo albaricoque'' ⇒

$D=\frac{A}{2}$ (II)

''El número de personas que consumen sólo banana es el doble de las personas que consumen sólo albaricoque y banana más sólo banana y coco'' ⇒

$B=2.(G+F)$ (III)

Finalmente : ''El número de personas que consumen sólo coco más los que consumen los tres productos es 30'' ⇒

$C+E=30$ (IV)

Finalmente obtenemos el siguiente sistema de ecuaciones :

$A+B+C+D+E+F+G=120\\D=\frac{A}{2}\\B=2.(G+F)\\C+E=30$

El número de personas que consumen dos productos es :

$D+F+G$

Entonces, resolvemos escribiendo la primera ecuación conmutando los términos :

$A+B+C+E+D+F+G=120$ (V)

De (II) se obtiene :

$2D=A$ (VI)

Usamos (VI), (III) y (IV) en (V) ⇒

$2D+2(G+F)+30+D+F+G=120$ ⇒

$2D+2G+2F+30+D+F+G=120$

$3D+3F+3G=90$

Dividiendo esta última ecuación por ''3'' obtenemos :

$D+F+G=30$

Que es el número de personas que consumen dos productos.

Es muy conveniente seguir el desarrollo del ejercicio mirando el gráfico que adjunto.

8 0

2 years ago

Aaron is making a jewelry box of wood in the shape of a rectangular prism the jewelry box will have the dimensions shown in the

Natali [406]

Answer:

b. $342

Step-by-step explanation:

Base = Length * width

Base Area = 12 * 5

B = 180 square inches.

Perimeter of the prism will be :

P = 2 (length) + 2 (15)

P = 2 * 12 + 30

P = 54 inches

Height of the jewelry container will be :

X = Ph + 2B

X = 54 * 6 + 2 * 180

X = 684 square inches.

Total cost for paint of jewelry box is :

X * cost per inch

Total cost = 682 * $0.50

Total Cost = $342.

8 0

2 years ago

PLSSS HELP. WILL MARK BRAINLIEST. A rectangle has sides measuring (6x + 4) units and (2x + 11) units. Part A: What is the expres

Leni [432]

Answer:

Below.

Step-by-step explanation:

Part A: $(6x+4)(2x+11)=12x^2+66x+8x+44=12x^2+74x+44$

Part B: Degree = 2, Classification = Quadratic

Part C: The polynomial is closed because it is multiplied. You CANNOT close under division.

4 0

2 years ago

A cutting tool fails due to flank wear while machining. It is observed that the tool life at a cutting speed of 160 m/min is 5 m

Ahat [919]

Answer:

The answer is:

30 minutes.

Step-by-step explanation:

We are given the following information:

at 160 m/min, tool life = 5 min.

at 120 m/min, tool life = 17 min.

This means that as the speed reduced from 160 m/min to 120 m/min, the tool life increased from 5 min. to 17 min, hence the difference between the changes are:

speed = 160 - 120 = 40 m/min

tool life = 17 - 5 = 12 min.

Therefore, it can be concluded that a change of speed of 40 m/min, increases the tool life by 12 min.

40 m/min = 12 min

∴ 1 m/min = 12/40 min.

∴ 100 m/min = 12/40 × 100 = 0.3 × 100 =30 min.

8 0

2 years ago