Let the leading term of the polynomial, f(x), be axⁿ.
Examine the possibilities.
n a x -> - ∞ x -> +∞
------- ---- ----------- ------------
even a>0 f -> +∞ f -> +∞ Not true
even a<0 f-> - ∞ f-> -∞ True
odd a>0 f-> -∞ f-> +∞ Not true
odd a<0 f-> +∞ f-> -∞ Not true
Answer:
(a) the degree of the polynomial is even, and
(b) the coefficient of the leading term is negative.
Answer:
14 is what percent of 92? = 15.22.
Step-by-step explanation:
We know that the 15% of missing pencils is equal to 9
we can use this formula
9/x = 15/100
Then cross multiply
15x = 900
x = 60
There were orignally 60 pencils
Answer:
5 units
Step-by-step explanation;
We can use the formula for finding the length or magnitude of line joining two points.
Length = √((x2-x1)² + (y2-y1)²)
The points joining the line are C (-1,4) and D (2,0)
Length = √((2+1)² + (0-4)²)
= √((3²) + (-4)²)
= √ (9+16)
= √25
= 5 units
Answer:
The center is at (3, -4), and the radius is 9.
Step-by-step explanation:
x² + y² − 6x = 56 − 8y
Move x and y terms to one side.
x² − 6x + y² + 8y = 56
Complete the squares.
x² − 6x + 9 + y² + 8y + 16 = 56 + 9 + 16
(x − 3)² + (y + 4)² = 81
The center is at (3, -4), and the radius is 9.
