$f(x) = {3x}^{3} + kx - 5 \\ \\ x - 1 \: is \: \: a \: factor \: of \: f(x) \\ f(1) = 0 .........(1) \\ f(1) = 3 \times {1}^{3} + k \times 1 - 5 \\ = 3 + k - 5..........(2) \\ \\ (1) = (2) \\ 3 + k - 5 = 0 \\ k = 2$

6 0

3 years ago

Read 2 more answers

Yolanda ha comprado un coche por 8.200 euros. Lo ha pagado en tres partes. Primero pagó un 60% del valor del coche, después el 2

Over [174]

Answer:

1.230 euros

Step-by-step explanation:

De la pregunta anterior se nos dice que:

Yolanda compró un coche por 8.200 euros. Lo ha pagado en tres partes.

Paso 1

Sea el porcentaje de la suma total de dinero = 100%

Primero pagó el 60% del valor del auto, luego el 25% y finalmente el resto.

Dejemos que el resto esté representado por x

Por eso;

Primera parte + Segunda parte + Tercera parte = 100%

60% + 25% + x = 100%

x = 100% - (60% + 25%)

x = 100% - 85%

x = 15%

Paso 2

¿Cuánto pagó Yolanda la última vez?

La última vez = Tercera parte y esto se calcula como:

15% de 8.200 euros

= 15/100 × 8.200 euros

= 1.230 euros

Yolanda pagó 1.230 euros la última vez.

5 0

3 years ago

Consider this composite figure.

damaskus [11]

Answer:v=4

v=16

v=4/3

v=64/3

Step-by-step explanation: i just did the assignment.

4 0

3 years ago

Mr. Miller’s band room is 50 ft wide and 75 ft long. The instrument storage closet has the same proportions of length and width

Rufina [12.5K]

The length of the instrument storage closet will be 15ft

<h3>Dimension of an object</h3>

Given the dimension of Mr. Miller’s band room is 50 ft wide and 75 ft long. In order to get an instrument storage closet that has the same proportions of length and width but is smaller, we can multiply the width and the length by a scale factor.

Using the scale factor of 1/5, the new dimension will be expressed as:

Length = 75 * 1/5 = 15ft
Width = 50 * 1/5 = 10ft

Hence the length of the instrument storage closet will be 15ft

Learn more on dimension here: brainly.com/question/19819849

5 0

3 years ago