To factor 54x+81 using the greatest common factor, find the GCF of 54 and 81 by listing all factors and finding the biggest.

54 - 1, 2, 3, 6, 9, 18, 27, 54
81 - 1, 3, 9, 17, 81

9 is the gcf, so factor it out.

54x+81 = 9(6x + 9)

4 0

4 years ago

Describe in words the region of R3 reperesented by the equations or inequalities x2+y2=4,z=-1

Roman55 [17]

Answer:

It represents a circle of radius 2, centered in the origin of the plane xy and transversal to the z-axis in z=-1.

Step-by-step explanation:

The first thing to notice is that

$x^2+y^2=2^2$

represents a circle of radius 2, with its center in the origin of a plane xy, of cartesians coordinates.

Starting from here, we have to put the coordinate z, to complete the space R³. Then, the cirlce will "live" into the plane xy, where z=-1.

Finally, we have that this region is a circle of radius 2, centered in the origin of the plane xy, and transversal to z=-1.

8 0

3 years ago

An executive in an engineering firm earns a monthly salary plus bonus of 5700 dollars. If she earns a total of 91400 dollars per

Ray Of Light [21]

Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equation:

$12S + 5700 = 91400$

where $S$ is the monthly salary. Solving for $S$ will give us the answer:

$12S = 85700$

$S = 7141.67$

6 0

4 years ago