Answer:
Polynomials are <em>closed</em> under addition and subtraction, which is fancy mathspeak that means that whenever we add or subtract two polynomials, we <em>always</em> get another polynomial. In that way, they behave a lot like the numbers you're probably already familiar with. Adding and subtracting:
- Two integers gives you another integer
- Two rational numbers gives you another rational number
- Two real numbers gives you another real number
And it works the same with polynomials!
Answer:
x < 6
Step-by-step explanation:
Given
5x - 9 < 21 ( add 9 to both sides )
5x < 30 ( divide both sides by 5 )
x < 6
Answer:
The equation that best represent the situation is;
x^2 = 576
or x^2 -576 = 0
Step-by-step explanation:
Here, we want an equation that best represent the given information in the question.
The length of the garden is twice as long as it is wide
So, given that x is the length of the garden, then x/2 will represent the width of the garden
From the description given in the question, the garden would be rectangular in shape.
Mathematically, the area of a rectangle can be calculated using the formula;
L * B = area
Thus;
x * x/2 = 288
x*2 = 2 * 288
x^2 = 576
Answer:
Part 1) The length of the new rectangle is 
Part 2) The area of the new rectangle is 
Step-by-step explanation:
we know that
If two rectangles are similar, then the ratio of its corresponding sides is proportional
step 1
Find the length of the new rectangle
Let
L-----> the length of the new rectangle

step 2
Find the area of the new rectangle
we know that
The area of the rectangle is

we have


substitute

Answer:
-1y or -y
Step-by-step explanation:
8-9 =-1
substtute for y and there ya go