6.
c is less than or equal to 1 because a dollar is the maximum value, therefore everything else in the store has to be less.
7.
If the population is at least a billion, it can only go up from there, therefore it is 1,000,000,000 is less than or equal to p
Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1.
Answer:
x=10
y=2
Step-by-step explanation:
1)add the equations and find what x is.
x-y=8
+x+y=12
—————
2x=20
— —
2 2
x=10
3)fill in x for the second equation.
x+y=12
since x=10,replace x with 10.
10+y=12.
subtract 19 from both sides.
10+y=12
-10 -10
—————-
y=2
The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:

When the balloon splats on the ground, the value of h(t) is 0.
So, we have:

Expand the expression

Factorize the above expression

Factor out 2t - 5 in the 2t - 5

Split the equation into 2

Rewrite as:

Solve for t

The value of t cannot be less than 0 i.e. negative.
So, we have

Divide 5 by 2

Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at:
brainly.com/question/11631534