Answer:
1. k=0
2. yes, result is still a polynomial.
3. yes, f and g must have the same degree to have deg(f+g) < deg(f) or deg(g)
Step-by-step explanation:
1. for what constant k must f(k) always equal the constant term of f(x) for any polynomial f(x)
for k=0 any polynomial f(x) will reduce f(k) to the constant term.
2. If we multiply a polynomial by a constant, is the result a polynomial?
Yes, If we multiply a polynomial by a constant, the result is always a polynomial.
3. if deg(f+g) is less than both deg f and deg g, then must f and g have the same degree?
Yes.
If
deg(f+g) < deg(f) and
deg(f+g) < deg(g)
then it means that the two leading terms cancel out, which can happen only if f and g have the same degree.
9.66
^ This is the tenths place.
Look at the number after it, if it's 5 or more we round up, if it's 4 or less we round down.
The number is 6, so we round up to 9.7.
Are we solving for h?
V=πr²h+r²h
V=h(πr²+r²)
V/(πr²+r²) = h
Since Juanuary has 31 days we will also count the 31st day.Lets count the days Kevin waters his ivy.He will water it every 3 days so let’s count by threes.
2 5 8 11 14 17 20 23 26 29
That is all theaters you.Can have in February if you count by 3s.
He will water his cactus every 5th day.Just like before let’s count but this time by 5s.
4 9 14 19 24 29
There are two dates Kevin will water both plants but you said to do the first one so the date will be 14.
Your Answer is the 14th
Answer: m ⇒ e ∨ p
Step-by-step explanation:
First look at the statement and locate the connectives ( these are words which connect sentences such as: and, or, implies, is equivalent and not.) Each of these connectives have a symbol/ variable.
- In this case the connectives are "only if" and "or" these are important because we will not attach propositional variables to them, where:
⇒ = " only if"
∨ = "or"
- Convert the phrases into variables where:
m = " You can see the movie"
e = "You are over 18 years old"
p = " you have the permission of a parent"
- Construct the statement sequentially.
You can see the movie (m) only if (⇒) you are over 18 years old (e) or (∨) you have the permission of a parent (p)
- Remove the phrases and you'll have your answer:
m ⇒ e ∨ p