Answer:
Step-by-step explanation:
1. Use the two ordered pairs to find the slope m.
2.Then substitute the slope and one set of ordered pairs into y = mx + b and solve for b.
Answer:
A ski lift is modeled by the function f(x) = (0.2)(–2x 3 + 23x 2 + 25x + 50), where x is the time in seconds. When it comes out of the first stop, it is now climbing toward its highest point from the ground. During which time interval will the ski lift reach a height over 50 feet above the ground?
Base of the exponential equation should be (-1).
And finally the product or result should also be a negative number.
Let us take a variable for n natural numbers.
(Note: All positive whole numbers are called natural numbers that is 1,2,3,4,5,....).
In order to get the expression, we need to find the expession for odd natural numbers.
We know,
The expession for odd natural numbers is given by = 2n-1.
Where n= 1,2,3,4,5...
If we have an odd exponent of a negative number, it always gives a negative number.
We got, base = -1 ( a negative number) and
exponent = (2n-1) ........... expression for odd number.
Therefore, we could write final exponential expression that would give a negative for all natural numbers.

Answer:

Step-by-step explanation:
<u>Polynomial Factoring</u>
The volume of a cardboard box is expressed as:

It's required to factor that expression.
First, factor out 3:

The expression in parentheses is a perfect square:

Answer:
Distance is equal to 10.
Step-by-step explanation:
Use the distance formula: d=√((x_2-x_1)²+(y_2-y_1)²)
d = √(9-3)^2 + (1-9)^2
d = √(6)^2 + (-8)^2
d = √36 + 64
d = √100
d = √10
Hope this helps :)