It is direct variation if x/y is a constant.
x/y = 2 / -6.6 = -1/3.3
y/x = -9.9/3 = -3.3
y/x = -6.6/ 2 = -3.3
y/x = -13.2/ 3 = -3.3
y/x = -16.2/ 3 = -3.24
So its not exactly direct variation as the last values is slightly different from the first 3.
Answer:
<h2>x = 7</h2>
Step-by-step explanation:
Simplifying
x + 20 = 5x + -8
Reorder the terms:
20 + x = 5x + -8
Reorder the terms:
20 + x = -8 + 5x
Solving
20 + x = -8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
20 + x + -5x = -8 + 5x + -5x
Combine like terms: x + -5x = -4x
20 + -4x = -8 + 5x + -5x
Combine like terms: 5x + -5x = 0
20 + -4x = -8 + 0
20 + -4x = -8
Add '-20' to each side of the equation.
20 + -20 + -4x = -8 + -20
Combine like terms: 20 + -20 = 0
0 + -4x = -8 + -20
-4x = -8 + -20
Combine like terms: -8 + -20 = -28
-4x = -28
Divide each side by '-4'.
x = 7
Simplifying
x = 7
When Jaden bought the raffle ticket, he has a 1% chance of winning, which means that even if the chance is small, it's still there.
Your answer would be
It likely won't be drawn.
<h3>Answer:</h3>
option A
f(x) = (x – 1)2 + 3
<h3>Step-by-step explanation:</h3>
Given in the question a function,
f(x) = 4 + x² – 2x
Step 1
f(x) = 4 + x² – 2x
here a = 1
b = -2
c = 4
Step 2
x = -b/2a
h = -(-2)/2(1)
h = 2/2
h = 1
Step 3
Find k
k = 4 + 1² – 2(1)
k = 3
Step 4
To convert a quadratic from y = ax² + bx + c form to vertex form,
y = a(x - h)²+ k
y = 1(x - 1)² + 3
y = (x - 1)² + 3
