Answer:
Written in explanation
Step-by-step explanation:
Polynomial 1:
Simplified form:
Name by number of terms:
There are 3 terms, so this is a trinomial.
Polynomial 2:
Name by degree: The highest power of x is 1, so this is linear.
Name by number of terms: There are two terms, so this is binomial.
Polynomial 3:
Simplified Form:
Name by degree: There are no x terms, so this is a constant.
Answer:
1. Commutative Property of Addition
2. Distributive property
Step-by-step explanation:
Given
Required
Justify each step
From Line 1 to 2:
The property from Line 1 to 2 depicts ;
i.e.
This is referred to as Commutative Property of Addition
From Line 2 to 3:
The property here depicts
i.e.
This is referred to as Distributive property
Answer:
Barbara's speed in clear weather is and in the thunderstorm is
.
Step-by-step explanation:
Let be the speed and
be the time Barbara drives in clear weather, and let
be the speed and
be the time she drives in the thunderstorm.
Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,
(1).
Also,
(2).
(3). ,
and
(4).
From equations (2) and (3) we get:
putting these in equation (4) we get:
and substituting for from equation (1) we get:
This equation can be rewritten as
which has solutions
We take the first solution because it gives a positive value for
.
Thus, Barbara's speed in clear weather is and in the thunderstorm is
.