Answer:
Closed and Bounded.
Step-by-step explanation:
Hi there!
1) Let's start by finding the values in which the function is defined. Remember that this can be rewritten:
![f(x,y) = 1 + (4 -y^2)^{\frac{1}{2}} \:id\:est\:f(x,y)=1+\sqrt{(4 -y^2)}](https://tex.z-dn.net/?f=f%28x%2Cy%29%20%3D%201%20%2B%20%284%20-y%5E2%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%5C%3Aid%5C%3Aest%5C%3Af%28x%2Cy%29%3D1%2B%5Csqrt%7B%284%20-y%5E2%29%7D)
Since every quadratic root are defined for values
0 then, this help us to understand that we need calculate what interval this Domain is:
![4-y^{2} \geq 0\\4-y^{2}-4\geq -4\\-y^{2}\geq-4 \\y^{2}\leq4\\-2\leq y\leq 2](https://tex.z-dn.net/?f=4-y%5E%7B2%7D%20%5Cgeq%200%5C%5C4-y%5E%7B2%7D-4%5Cgeq%20-4%5C%5C-y%5E%7B2%7D%5Cgeq-4%20%5C%5Cy%5E%7B2%7D%5Cleq4%5C%5C-2%5Cleq%20y%5Cleq%202)
![D=[-2,2]](https://tex.z-dn.net/?f=D%3D%5B-2%2C2%5D)
2) Graphically speaking, the domain is closed. For the values -2 and 2 are included, and bounded.
Bounded functions have all of their points contained by some circle origin centered. Check it out below.
Answer:
Step-by-step explanation:
<u>As per question we have:</u>
- p > 0, q > 0
- 31p/8q ≤ 5 ⇒ 31p ≤ 40q
Since 31 and 40 have no common factors, the minimum values of p and q are 40 and 31 respectively.
<u>So the minimum value of p + q is:</u>
Answer:
Hi! The answer to your question is x > 2
Step-by-step explanation:
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Answer:
A. adjacent angles
Step-by-step explanation:
they share a same side and vertex
Answer: Bi weekly is a check every 2 weeks, so she would get 26 checks per year.
Monthly would be 12 checks per year.
When she gets paid monthly her pay increased by $2,800 each check.
Let x be one bi-weekly paycheck.
12(x+2800) = 26x
12x +33600 = 26x
Subtract 12x from both sides
33600 = 14x
Divide both sides by 14:
x = 33600/14
x = 2400
Step-by-step explanation: