Answer:
∴(x+5)(x+3) =x²+8x+15
Step-by-step explanation:
Standard form of a polynomial:
Standard of polynomial means that the terms ordered from biggest exponent of variable to lowest exponent of variable.
Example:
Given,
(x+5)(x+3)
=x(x+3)+5(x+3)
=x²+3x+5x+15
=x²+8x+15
∴(x+5)(x+3) =x²+8x+15
The degree of the polynomial is 2 and is a one variable polynomial.
Answer:
D. If John owns a dog, then he owns a cat
Step-by-step explanation:
The implication p → q (if p, then q) has the same truth table as the logical expression ~p∨q. You have the expression ...
~(John owns a dog) ∨ (he owns a cat)
Matching parts of this expression to the components of the expression ~p∨q, we see we can choose ...
- p = John owns a dog
- q = he owns a cat
and put those into the structure of the implication: if p, then q.
If John owns a dog, then he owns a cat. . . . . matches choice D
You can use the vertical line test to determine if the graph is a function.
A function must: for every x value have only one y value.
Vertical line test: if you draw a bunch of vertical lines each line only touches the graph once.
So a circle would not be a function, or a horizontally facing parabola, etc... Remember, if you draw a vertical line "|" and it touches the graph more than once at any point then it is not a function.
Now take a look at the graph in the question.
In this graph if we do the vertical line test there are no place where a vertical line touches the graph twice so this graph is indeed a function.
This means your answer is C. Yes
Answer:
[see below]
Step-by-step explanation:
We can tell that for every hour passed the distance traveled by the train would increase by 40 miles.
We can use the equation d = 40t to determine the values of the table. The 'd' is total distance and 't' is the number of given hours.
Two hours:
d = 40(2)
d = 80
Three Hours:
d = 40(3)
d = 120
Four Hours:
d = 40(4)
d = 160
Hope this helps.
