Answer:
a) The equation of V and W
V = k W
b) The value of V = 666.6
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that V is inversely proportional to W
V∝ W
⇒ V = k W
⇒ 40 = k (0.9)
⇒ 
<u><em>Step(ii):-</em></u>
Given that W = 15 and k = 44.44
we have to find the value is 'V'
V = k W
⇒ V = 44.44 × 15
⇒ V = 666.6
Answer:
The ball will take 4.05 seconds to hit the ground.
Step-by-step explanation:
we have
This is a quadratic equation (vertical parabola) open down
The vertex is a maximum
we know that
The ball hit the ground when h=0
Solve the quadratic equation
For h=0
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
---> the time cannot be a negative number
therefore
The ball will take 4.05 seconds to hit the ground.
Answer:
1. We can see that salesperson's weekly income is the sum of her constant weekly salary ($760) and a commission which is variable and depends on her weekly sales.
So, if we say that y is her weekly income and x is her weekly sales, we can write this as:
y = 760 + 0.075x
Note that we had to change percentage to decimal number dividing it by 100.
2 Since for each value of x there is only one corresponding value of y, we can say that this is a function. For any value of x we input there is only one solution we get - that is the main feature of function and a way to tell if something is really a function.
Since this is a function, it can also be written as:
f(x) = 760 + 0.075x
3. Domain of a function is, basically, set of all values of x for which the function can work. That practically means that, since x is weekly sale, it can not be negative (one cannot make -$500 sale, for example). However, it is possible that she doesn't make a sale one week, making it possible for x to be 0. Also, the value of her sales doesn't have to be integer (it is quite possible that she makes $673.50 sale).
All this means that appropriate domain for this function are positive real numbers including 0.
