-12xy^3z^5+15x^2z factor

3xz(–4y³z⁴+5x)

Step-by-step explanation:

Look at each term. See what they have in common. Factor out the common factor, leaving the other factors, divided by the factors removed, within the parentheses.

12 and 15 are both multiples of 3, so factor out 3 and leave the –4 and 5.

x and x² have the common factor, x. We leave x with the 5 needed as the other factor of x². (The -4 is the other factor of -12x)

There is no y in the second term, so y can not be factored out.

z can be factored out, leaving z⁴ in the first term and 5 as the other factor in the second term in the parentheses.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

answer is  

d.

3.09

hope you got this right.