Answer:
(a)
Step-by-step explanation:
(a)The degree of a polynomial is the highest power of the unknown variable in the polynomial.
A polynomial is said to be in standard form when it is arranged in descending order/powers of x.
An example of a fourth degree polynomial is:
We know the polynomial above is in standard form because it is arranged in such a way that the powers of x keeps decreasing.
(b)Polynomials are closed with respect to addition and subtraction. This is as a result of the fact that the powers do not change. Only the coefficients
change. This is illustrated by the two examples below:
The degrees do not change in the above operations. Only the number beside each variable changes. Therefore, the addition and subtraction of polynomials is closed.
Answer:
216 ft
Step-by-step explanation:
you multiply 12 and 18
Answer:
- apple: £0.20
- banana: £0.60
Step-by-step explanation:
Let "a" and "b" represent the costs of one apple and one banana, respectively. Then the purchases can be written ...
4a +b = 1.40
7a +b = 2.00
Subtracting the first equation from the second gives ...
(7a +b) -(4a +b) = (2.00) -(1.40)
3a = 0.60 . . . . simplify
a = 0.20 . . . . . .divide by 3
Using this in the first equation, we have ...
4(0.20) +b = 1.40
b = 0.60 . . . . . subtract 0.80
The cost of an apple is £0.20; the cost of a banana is £0.60.
Answer:
24 video games
Step-by-step explanation:
Let x represent number of video games.
We have been given that a video game store allows customers to rent games for $4.75 each. So the cost of renting x video games would be 4.75x.
We are also told that customers can also buys a membership for $54 annually, and video games would only cost $2.50 each. The cost of renting x video games after membership would be 2.50x + 54
To find the number of video-games that will cost same for both options, we will equate both expressions as:
4.75x = 2.50x + 54
4.75x - 2.50x = 2.50x - 2.50x + 54
Therefore, a customer would have rent 24 video games in a year in order for the two options to be equal.
Answer:
x is less than 4
or
x is greater than 4
Step-by-step explanation:
-5x < -15x + 40 -5x < -15x + 40
+15x +15x -40 -40
10x < 40 -40 - 5x < -15x
÷10 ÷10 +5x +5x
× < 4 -40 < -10x
÷10 ÷10
4 < ×
