Hi,
Let's start with the equation:
(7)(11)+(3)(3)−16/2
Next multiply:
=77+(3)(3)−16/2
=77+9-16/2
Add:
=86−16/2
=86−8
=78
Have a great day!
Answer:
1. 15 - 5n where n>=1
2. n² where n>=1
Step-by-step explanation:
1. {10, 5, 0, -5, -10} is an Arithmetic Progression
nth term is a + (n - 1)d
where a = first term, n= nth term, d= common difference.
a = 10, d = -5 (5-10, 0-5, -5-0, -10-(-5))
Therefore, nth(General) term of the sequence:
= 10 + (n - 1)-5
= 10 + (-5n) + 5
= 10 + 5 - 5n
= 15 - 5n
Test:
if n = 1; 15 - 5(1) = 10
if n = 2; 15 - 5(2) = 5
if n = 3; 15 - 5(3) = 0 and so on.
2. {1, 4, 9, 16, 25}
The general term of the sequence is n²
Test:
if n = 1; 1² = 1
if n = 2; 2² = 4
if n = 3; 3² = 9 and so on.
Answer:
False
Step-by-step explanation:
To determine whether the statemaent "If
is true, then
is also true" holds, you can form the truth table:

When the result of the column
takes value 1 (true), the result of the column
is not always 1, then the statement is false.
Answer:
B
Step-by-step explanation:
easy
Answer:
1. zeros of polynomials -- x-values for which the value of the polynomial is zero
2. quartic polynomial -- fourth degree (polynomial)
3. irreducible -- cannot be factored
4. leading coefficient -- coefficient of the term with the highest power
5. end behavior -- the direction of a graph for very large positive and negative values of x
6. leading term -- the term in a polynomial with the highest power
7. cubic polynomial -- third degree (polynomial)
Step-by-step explanation:
These are definitions. They need no explanation.