Step-by-step explanation:
the relationship between x and y is defined by a constant factor.
you can "go" from x to y and from y to x consistently and without any interruptions by applying that constant factor.
that makes it a linear relationship (a line on a chart, hence the name).
proportional relationships are relationships between two variables where their ratios are equivalent. another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
so, yes, it is proportional.
and the table is then
x y
0 0
3 3×2/3 = 2
6 6×2/3 = 4
9 9×2/3 = 6
5 buses.
32 + 32 + 32 +32 = 128. 4 buses will hold 32 people.
136-128 = 8. 1 bus will hold 8 peope
Step-by-step explanation:
The Pythagorean theorem used in right-angled (equilateral) triangles is a relationship between the sides of a right-angled triangle, where the sum of the square of the legs is equal to the square of the hypotenuse.
If a and b are legs, and c is the hypotenuse, then a2 + b2 = c2.
Because the triangle is right angled, there is no greater side length in the triangle, so an unlimited number of Pythagorean positions can be produced by flipping the sides.
For this case we have a quadratic polynomial given by:
Where:
We must factor, for this we follow the steps below:
Step 1:
The term of the medium must be rewritten as the sum of two terms, whose sum is -7 and the product is 
:
Then, the term of the medium, fulfilling the two previous conditions, can be written as:
We check:
So, we have:
Step 2:
The maximum common denominator (the largest integer that divides them without leaving residue) of each group is factored
Step 3:
We take common factor 
:
Thus, the expression 
can be factored as:
Answer:
Answer:
-4
Step-by-step explanation:
-4 would be larger than -5 because negative numbers get smaller the farther they are from zero.
