Answer:
- 2
Step-by-step explanation:
The polynomial expressed in standard form is
- 2 + 5z³ - 9z² + z
The leading coefficient is the coefficient of the first term of the polynomial in standard form, that is
leading coefficient is - 2
1. Consider y=f(x)
2. let a and b be 2 positive numbers
3. then the graph of y=f(x)-a is the graph of y=f(x) shifted a units down
4. the graph of y=f(x+b) is y=f(x) shifted b units left
y=f(x-b) is y=f(x) shifted b units right
5. y=f(x+b)-a is the graph of y=f(x) shifted a units down and b units left
6. So
shifted 4 units down and 5 units left is the graph of
7. To check: consider
at x=3. We have the point (3, 27)
Shift this point 4 units down and 5 units left: (3-5, 27-4)=(-2, 23)
Consider
for x=-2
Answer:
At least 401 chosen guests
Step-by-step explanation:
Represent those with same birth day with Same
So:
Represent number of people with n
There are 365 days in a year and 364 days out of these days is not your birthday.
So, there the probability that n people do not share your birthday is
i.e.
Solving further, we have that:
We're calculating the probability that .
So, we have:
Collect Like Terms
Take natural logarithm (ln) of both sides
Apply laws of logarithm
Multiply through by -1
Solve for n
Reorder
(approximated)
This implies that n = 401, 402, 403 .....
i.e
So, at least 401 people has to be invited
Answer:
Difference between algebraic expression and polynomial
Step-by-step explanation:
Algebraic expression:
- An algebraic expression is made up of variable, constants and arithmetic operators like addition, subtraction, etc.
Polynomial
- A polynomial is an expression consisting of variables and coefficients, that involves operations like addition, subtraction, multiplication.
- A polynomial cannot have negative exponential powers.
Difference between algebraic expression and polynomial
- All polynomials are algebraic expression.
- All algebraic expression cannot be polynomials.
- Polynomial must have no negative exponents.
- Polynomial does not have variable inside radical system.