Answer:
<em>m </em>=<em> </em>1/2
Step-by-step explanation:
Use two points on the line given.
(0 , 2) & (-4 , 0)
You are solving for the slope. The slope formula:
<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (-4 , 0)
(x₂ , y₂) = (0 , 2)
Plug in the corresponding numbers to the corresponding variables:
<em>m</em> = (2 - 0)/(0 - (-4))
Simplify:
<em>m</em> = (2)/( 0 - (-4))
<em>m</em> = (2)/(0 + 4)
<em>m</em> = 2/4
Simplify the slope. Divide the common factor 2 from both the numerator and denominator:
<em>m</em> = (2/4)/(2/2) = 1/2
1/2 is your slope.
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Answer:
Cost of the manicure= $27
Step-by-step explanation:
Giving the following information:
Darcy gave her nail technician a $5.40 tip. The tip was 20% of the cost of the manicure
<u>To calculate the cost of the manicure, we need to use the following formula:</u>
Cost of the manicure= tip / tip percentage
Cost of the manicure= $27
The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.Intervals of increasing, decreasing or constant ALWAYS pertain to x-values. Do NOT read numbers off the y-axis. Stay on the x-axis for these intervals! Intervals of Increasing/Decreasing/Constant: Interval notation is a popular notation for stating which sections of a graph are increasing, decreasing or constant.A function f(x) increases on an interval I if f(b) ≥ f(a) for all b > a, where a,b in I. If f(b) > f(a) for all b>a, the function is said to be strictly increasing.The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.
I hope this helps
