Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable.
Given that y varies directly with x, if we introduce a constant of proportionality, k, the expression becomes
y = kx
If y = 8 when x = 3, then
8 = 3k
k = 3/8
Therefore, the direct variation equation that relates x and y is
y = 3x/8
When x = 12, then
y = 3 × 12/8
y = 4.5
The equation is y = x + 2 and they are perpendicular lines.
A rotation of 270 degrees means that you turn 3/4 of the way around a circle. That would put the y-intercept at (0, 2) and the line would be going up instead of down.
Answer:
$97.20
Step-by-step explanation:
you make the 8% into a decimal by moving the decimal to places to the left.
8%=0.08, Then you multiply that by the whole number of 90 dollars.
0.08 x 90 = $97.20
Answer:
v > 4 is simplified expression.
Step-by-step explanation:
Given that:
v + 5 > 9
This expression says that when 5 is added to a variable v it will be greater than 9 So we will simplify it to get the value for variable v:
Subtracting 5 from both sides:
v + 5 - 5 > 9 - 5
v > 4
This is the simplified expression for given question.
i hope it will help you!