Answer:
Option B is correct.
y =32x represents a proportional relationship.
Step-by-step explanation:
If two quantities are said to have a proportional relationship if they vary in such a way that one of the quantities is a constant multiple of the other i.e,
y = |k| y where |k| is constant proportionality.
By definition :
y =32x where k =32 is constant , represents a proportional relationship.
Two
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Answer:
no solutions
Step-by-step explanation:
Hi there!
We're given this system of equations:
x+y=3
4y=-4x-4
and we need to solve it (find the point where the lines intersect, as these are linear equations)
let's solve this system by substitution, where we will set one variable equal to an expression containing the other variable, substitute that expression to solve for the variable the expression contains, and then use the value of the solved variable to find the value of the first variable
we'll use the second equation (4y=-4x-4), as there is already only one variable on one side of the equation. Every number is multiplied by 4, so we'll divide both sides by 4
y=-x-1
now we have y set as an expression containing x
substitute -x-1 as y in x+y=3 to solve for x
x+-x-1=3
combine like terms
-1=3
This statement is untrue, meaning that the lines x+y=3 and 4y=-4x-4 won't intersect.
Therefore the answer is no solutions
Hope this helps! :)
The graph below shows the two equations graphed; they are parallel, which means they will never intersect. If they don't intersect, there's no common solution
8x-23=3x+22
Add 23 to both sides
8x=3x+45
Subtract 3x from both sides
5x=45
Divide both sides by 5
X=9
X+10+x+14=22
Add like terms
2x+24=22
Subtract 24 from both sides
2x=-2
Divide both sides by 2
X=-1
Find the vertex. which is (-3,-5) the plug it into the equation y=a(x-h)^2+k
the equation would be Y= (x+3)^2-5 :)