Azookeeper is monitoring the population of gazelles. the herd needs three times more males than females to thrive, and the zoo only has room for 12 female gazelles. let x = the number of female gazelles and y = the number of male gazelles. write the constraints to represent a thriving population of gazelles at the zoo.
a. x > 0 and y > 0
b.0 < x ≤ 12 and 0 < y ≤ 36
c.0 < x ≤ 12 and y > 36
d. x > 0 and y < 23

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

two? xd

step-by-step explanation:

what is the rest of the question? ?