Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function.The balance in a checking account b at the close of business on a given day x.

A. No
B. Yes; x, b; there is one balance b on any given day x at the close of the business day.


Answer: B

Mathematics

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Solve the problem.The distance an object is from the ground after being tossed from a hot air balloon 750 feet in the air is a function of time: f(t) where f(t) is height and t is the amount of time the object has been in the air. Predict the height of the object after 5.5 seconds.

A. 696.10 feet B. 228.33 feet C. 0 feet D. 297.63 feet

Mathematics

Decide if the given equation is a solution of the given differential equation.xy" + y' = 16x3, y = x4 + 6 + 5e-x 

A. No B. Yes

Mathematics

Provide an appropriate response.Why is it not possible to choose h and k, neither zero, so the parabola  has its vertex at the origin?

What will be an ideal response?

Mathematics

Translate the phrase to an algebraic expression. Use x to represent "a number."A number divided by 15

A. 15 ÷ x or 
B. x - (15)
C. x ÷ 15 or 
D. 15 ? x or 15x

Mathematics