The answer is c to the fourth power.
Answer:
Step-by-step explanation: Simplifying
2(3y + -5) + -2 = 3(y + -3)
Reorder the terms:
2(-5 + 3y) + -2 = 3(y + -3)
(-5 * 2 + 3y * 2) + -2 = 3(y + -3)
(-10 + 6y) + -2 = 3(y + -3)
Reorder the terms:
-10 + -2 + 6y = 3(y + -3)
Combine like terms: -10 + -2 = -12
-12 + 6y = 3(y + -3)
Reorder the terms:
-12 + 6y = 3(-3 + y)
-12 + 6y = (-3 * 3 + y * 3)
-12 + 6y = (-9 + 3y)
Solving
-12 + 6y = -9 + 3y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3y' to each side of the equation.
-12 + 6y + -3y = -9 + 3y + -3y
Combine like terms: 6y + -3y = 3y
-12 + 3y = -9 + 3y + -3y
Combine like terms: 3y + -3y = 0
-12 + 3y = -9 + 0
-12 + 3y = -9
Add '12' to each side of the equation.
-12 + 12 + 3y = -9 + 12
Combine like terms: -12 + 12 = 0
0 + 3y = -9 + 12
3y = -9 + 12
Combine like terms: -9 + 12 = 3
3y = 3
Divide each side by '3'.
y = 1
Simplifying
y = 1
Hello:
2x+3y=8
y =(-2/3)x+8/3 (the slope is : (-2/3) )
<span>an equation of the line through (-1,4) and perpendicular to 2x+3y=8</span>
<span> is : y = ax+b
the slope is a : a×(-2/3) = -1......(
perpendicular to a line with a slope of -2/3)
a = 3/2 y=(3/2)x+b
the line that passes through (-1, 4) :4 =
(3/2)(-1)+b
b =11/2
the equation is : y = (3/2)x+11/2</span>
Short answer: yes.
the definition of a function is a graphical relation in which each x value (input) has only one y value (output). if we use the vertical line test, we can see that each x value on this graph corresponds to one y value and one only. if a certain x value had more than one y value, then it wouldn’t be a function.
hope this helped, i tried to keep this concise but if you need a better explanation let me know :)
Answer:
The graph has a constant of variation of 3, so it represents a direct variation.
Step-by-step explanation:
