Answer:
Yes, 2 is a rational number.
A proportional relationship is described by the equation
... y = k·x
The point (x, y) = (0, 0) is <em>always</em> a solution to this equation.
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In short, if the relationship is proportional, its graph will go through the origin. If the graph does not go through the origin, the relationship is not proportional.
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Note that this is true if the domain includes the origin. You can have y = kx <em>for x > 10 </em>and the graph will <em>not</em> go through the origin because the function is <em>not defined</em> there.
Answer:0.09 < 0.6 < 0.7 < 0.8 < 0.99 < 1
Step-by-step explanation:
Answer:
x=-2
Step-by-step explanation:
-4x – 6(3x + 4) = -4 + 8(1 - x)
Distribute
-4x – 18x -24 = -4 + 8 -8x
Combine like terms
-22x -24 = 4-8x
Add 22x to each side
-22x+22x -24 = 4-8x+22x
-24 =4+14x
Subtract 4 from each side
-24-4 = 4+14x-4
-28 = 14x
Divide each side by 14
-28/14 =14/14
-2 =x
Answer:
x = -1, y = -4
Step-by-step explanation:
Let's solve our system of equations by substitution.
y = 5x + 9y = −x + 3
Step: Solve = 5x + 9 for y:
y = 5x + 9
Step: Substitute 5x + 9 for y in y = −x + 3:
y = −x + 3
5x + 9 = −x + 3
5x + 9 + x = −x + 3 + x (Add x to both sides)
6x + 9 = 3
6x + 9 + −9 = 3 + −9 (Add -9 to both sides)
6x = −6
6x/ 6 = −6/6(Divide both sides by 6)
x = −1
Step: Substitute −1 for x in y = 5x + 9:
y = 5x + 9
y = (5)(−1) + 9
y = 4(Simplify both sides of the equation)
So our answers are y = -4 and x = -1.
