Given:
Four equations in the options.
To find:
The equation which represents a proportional relationship.
Solution:
If y is proportional to x, then
where, k is the constant of proportionality.
In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.
From the given options, only option B, i.e., 
, is of the , where, 
.
So, the equation represents a proportional relationship.
Therefore, the correct option is B.
Answer:
X = - 5
Step-by-step explanation:
The above word problem is mathematically interpreted thus:
-1X - 4X = -4 - 4X + 4 + 5
-5X = - 4 - 4X + 4 + 5
-5X = - 4 - 4X + 9
Collect like terms
-5X + 4X = - 4+ 9
-X = 5
X = - 5
25 - 5x = 80
+ 5x + 5x
25 = 5x + 80
- 80 -80
-55 = 5x
-55/5 = 11
x = 11
Hope I helped!
Let me know if you need anything else!
~ Zoe
Given:
The function, f(x) = -2x^2 + x + 5
Quadratic equation: 0 = -2x^2 + x +5
where a = -2
b = 1
c = 5
The discriminate b^2 - 4ac = 41
To solve for the zeros of the quadratic function, use this formula:
x = ( -b +-√ (b^2 - 4ac) ) / 2a
x = ( 1 + √41 ) / 4 or 1.85
x = ( 1 - √41 ) / 4 or -1.35
Therefore, the zeros of the quadratic equation are 1.85 and -1.35.
