Answer: y=-0.6x^3- 1
Step-by-step explanation:
In the graph, first we must see the points where the line intersects the axis.
We can see that it goes throug the point (0, -1)
Now, of the given options the only two that are 0 when x is -1, are:
f1(x) =y = 0.6*x^2 - 1
f2(x) =y = -0.6x^3 - 1
We also can see that for all the positive values of x, y has a negative value, so let's value bot functions in x = 2, and see what happens.
f1(2) = 0.6*4 - 1 = 1.4
f2(2) = -0.6*8 - 1 = -5.8
so the correct option is
y=-0.6x^3- 1
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:
7.8, 7.309, 7.39, 7.3962
Hope this helps and my apologies if this is wrong it should not be though I did it on paper lol.
Answer: x=4y+9
Step-by-step explanation:
All of the variables, 3x, 12y, and 27 can be divided y 3, so we will simplify by dividing the whole equation by 3.
3x/3-12y/3=27/3
Which is equal to....
x-4y=9
Now you can move -4y over to the right side by changing its sign...
x=4y+9