Answer:
0 < x ≤ 12 and 0 < y ≤ 36
Step-by-step explanation:
Here, x represents the number of female gazelles and y represents the number of male gazelles.
The zoo only has room for 12 female gazelles.
∵ The number of rooms must be more than or equal to the total female gazelles ,
12 ≥ x
Also, number of animals can not be negative,
And, it must be greater than 0.
⇒ 0 < x ≤ 12,
⇒ 3(0) < 3x ≤ 3(12)
⇒ 0 < 3x ≤ 36
∵ Number of males gazelles = 3 × number of female gazelles
⇒ y = 3x
⇒ 0 < y ≤ 36
Hence, the constraints to represent a thriving population of gazelles at the zoo are,
0 < x ≤ 12,
0 < y ≤ 36
Answer:
The daily cost of cooling the large warehouse with the same model of air conditioner is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
In this problem
The scale factor is equal to 2.5
so
The scale factor elevated to the cube is 
To estimate the daily cost of cooling the large warehouse with the same model of air conditioner, multiply $125.00 by the scale factor elevated to the cube
so

Answer:
29 because lines ac and bd are perpendcular and equal.
Step-by-step explanation:
im not fully sure my explanation is good enough
Answer:
the second option is the correct one
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
To calculate m use the slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)
m =
=
= 
Use either of the 2 points as (a, b)
using (- 4, - 1), then
y- (- 1) =
(x - (- 4)), that is
y + 1 =
(x + 4)