y = 3 x equation represents a proportional relationship.
Answer: Option B
<u>Step-by-step explanation:</u>
A proportional variation represents a relationship between two variables x and y. It can be expressed in the form y=k x. Here, the ‘k’, the proportionality constant is equal to the slope m and the line goes through the origin
case A) 
A linear equation that not passes through the origin and so not proportional variation
case B) y= 3 x
Is a linear equation but passes through the origin and so proportional variation
case C) y = - 3x+2
A linear equation that not passes through the origin and so not proportional variation
case D) 
An inverse variation equation but not passes through the origin and so not proportional variation.
From these, equation option B is the proportion equation because in these equations, there is no addition and subtraction of any constant number. That’s why both these equations become proportional equations.
<h3>
Answer:</h3>
x² -6x = -13 ⇒ x ∈ {3-2i, 2+2i}
<h3>
Step-by-step explanation:</h3>
To make a=1, divide the equation by the coefficient of x², which is 8.
... x² -6x = -13 . . . . . . your blanks are filled with -6 and -13
Now, to complete the square, add the square of half the x-coefficient:
... (-6/2)² = 9.
... x² -6x +9 = -4 . . . 9 added to both sides
... (x -3)² = -4 . . . . . rewrite as a square
... x -3 = ±2i . . . . . . take the square root
... x = 3 ±2i . . . . . . . add 3
The solutions are the complex numbers x = 3 ±2i.
Answer:
The roots (zeroes) are -1 and 527 over 3.
Step-by-step explanation:
First, you gotta do the FOIL method and multiply the values which gives u 6x^(2) -1048x - 1054. Then you find the zeroes ( the points in which the the graph intersects with the x-axis). Finally, you set y equal to zero and find the x.
Even consecutive numbers are 2 apart
(2,4,6, example)
so they are
n,n+2,n+4
their sum is 78
n+n+2+n+4=78
3n+6=78
minus 6
3n=72
divide 3
n=24
smallest is 24
Answer:
-6 is the integer
Step-by-step explanation:
