Un rollo de cable mide más de 150 metros y menos de 200 metros. ¿Cuál es su longitud exacta, sabiendo que se puede dividir en trozos de 15 metros y también en trozos de 9 metros?

Step-by-step explanation:

To solve this problem, we need to find the Least Common Factor between 15 and 9.

15    9   | 3

5      3  |  3

5      1   |  5

1

So, the Least Common Factor would be 3x3x5 = 45. But, we need a multiple of this number which must be between 150 and 200. So,

45 x 4 = 180.

Therefore, the cable measures 180 meters.

left 3, up 4

step-by-step explanation:

just count the values of x & y of the vertex of the graph and see how many units in the x and y direction will get you from the f(x) graph to the f(x) graph

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.