The answer is three < five
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Answer:</h2>
The constraint which represent a thriving population of penguins at the zoo is:
0 < x ≤ 10 and 0 < y ≤ 20.
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Step-by-step explanation:</h2>
Let x = the number of female penguins and y = the number of male penguins.
Now, it is given that:
The group needs two times more males than females to thrive, and the zoo only has room for 10 female penguins.
This means that:
0 < x ≤ 10
( Because there are no room for more than 10 penguins )
Also,
y= 2x
Since,
x>0
This means that: 2x>0
i.e. y>0
and x ≤ 10
i.e. 2x ≤ 20
i.e. y ≤ 20
Hence, the constraints which represent a thriving population of penguins at the zoo is:
0 < x ≤ 10 and 0 < y ≤ 20.
Answer: I’ll give you an example of how to do it by solving number 9 - h^2 + 8h + 16
Step-by-step explanation:
Step 1: Find two numbers that when you multiply them it gives you the first term’s coefficient multiplied by the last term’s coefficient (1x16 = 16) and when you add them it gives you the second term’s coefficient (8). The numbers in this case are positive 4 and positive 4.
Step 2: Create two parenthesis with the letter accompanied by the numbers. (h + 4)•(h+4). And that’s how you factor.
In case the first term is elevated to the third you will have to take out GCF (greatest common factor) first. If the numbers are too high like in the exercise number 15 you can also take out GCF and it will make it a lot easier to solve. Sometimes what you write on the parenthesis in the step 2 can be simplified, if that’s so then you would have to do it in order to get the correct answer.
Hope this helps you.
Answer:
y = 2x + 2
Step-by-step explanation:
The slope is also called the gradient of the line.
The slope that is given is two, and the point is (1, 4).
I made a point slope equation, and then converted it into a slope-intercept equation.
Hope this helps.
