Answer:
y = -2x + 22
Step-by-step explanation:
You fill an aquarium with water, the water is 22 inches deep. The water evaporates at 2 inches per week. Write an equation that approximates the depth y of water in the aquarium x weeks after you fill it.
Answer: The problem above represents that of a linear function. The equation of a linear function is given by:
y = mx + b, where y is the dependent variable, x is the independent variable, m is the rate of change and b is the initial value of y when x = 0.
From the problem, the independent variable is the number of weeks and the dependent variable is the depth of water, hence y = depth of water and x = weeks after you fill it.
The rate = 2 inches per week, since it evaporates (decreases), hence m = rate of change = -2. Also, at 0 weeks (x = 0), the depth (y) = 22 inches, therefore b = 22. Using the equation for linear function, we get:
y = -2x + 22
Answer:
150.555555556
Step-by-step explanation:
Move the variable to the left-hand side and change its sign
Collect like terms
Divide both sides of the equation by
Write the solution in parametric form
The next to one is
Move the variables to the right-hand side and change their signs
Divide both sides of the equation by
Write the solution in parametric form
U = 7/2 -2v - 1/2w-7/2x, ver,
Wer , xer
Answer:
m∠1 = 99°
Step-by-step explanation:
∠2 and ∠81° are Corresponding Angles, so they are equal to each other:
∠2 = 81°
∠1 and ∠2 are Supplementary Angles, so they add up to 180°:
180 - m∠2 = m∠1
180 - 81 = 99°
Answer:
D.
Step-by-step explanation:
According to the Exterior Angle Theorem, the exterior angle is equal to the sum of the interior angles opposite from the exterior angle. In other words:
Solve for <em>x</em>. Therefore:
Our answer is D.