Answer:
The constraints are
and 
Step-by-step explanation:
Let
x ----> represent the number of male birds
y ----> represent the number of female birds
we know that
The flock needs to have exactly three times more females than males to thrive
so
----> equation A
The zoo only has room for a maximum of 20 male birds
so
----> inequality B
we know that
The maximum number of male birds is 20
For x=20
substitute in the equation A

so
The maximum number of female birds is 60
so
----> inequality C
therefore
The constraints are
and 
Answer:
x = 4/5
Step-by-step explanation:
The x-intercept looks like (x, 0); the coordinate 0 indicates that the point lies on the x-axis. If we start with 4/5x + 1/3 y= 1 and let y = 0, we will get an equation for the x-intercept:
(4/5)x + (1/3)(0) =1
Then 4/5x = 1, and (5/4)(4/5)x = (1)(4/5).
Thus, x = 4/5, and the x-intercept is (4/5, 0).
Answer:
1.4 × 10^-8
Step-by-step explanation:
The chip is 14 nanometers
14 * .000000001
.000000014
Move the decimal 8 places to the right, because we need 1 number in front of the decimal for scientific notation. The exponent will be -8 because we moved it 8 places to the right
1.4 × 10^-8
I think the points given here are plotted linearly:
FGHI. in this case, we can tell that FG + GH + HI = FI. substituting to the expression devised, 2 units + GH + 1 unit = 7 units. This is equal to 3 units + GH = 7 units. GH is then equal to 4 units.
Answer:
Martin drove 53,558 miles.
Step-by-step explanation:
If you add up the amount of miles his son and wife drove, you get 32,898. To get the answer, you would subtract that from the total number of miles to get 53,558.