Answer:
x = 3
Step-by-step explanation:
4 + 12.5 > 11x - 3.5 - 2x
16.5 = 5.5x
16.5/5.5 = x
If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12
<u>Solution:</u>
Given that , In a certain function, y varies directly with x
And x = 8 when y = 6,
We have to find what will be the value of x when y = 9
Now, from the given information,

where c is the proportionality constant

Hence, x value is 12 when y value is 9
Answer:
C
Step-by-step explanation:
Firstly, we know that the function must be negative due to its shape. This means that the answer cannot be B
Next we can use the equation
that is used in order to find the vertex of the parabola.
A)

As the vertex is at x=3 on the graph, this one could be a contender.
C)

This also could be the equation
D)

This rules option D out.
For this last step, we can look at where the zeroes would be for each equation. (These values are irrational, so we cannot look at specific number)
A)

As this equation has a negative value for c, this means that one zero must be positive and the other must be negative.
This means that option A can be ruled out
C)

As this equation has a positive value for c, this means that both of the zeroes must be positive. This means that it is the only one that fits all of the criteria.
Answer:
The expression provided by the area (square meters) is given by:
.
Step-by-step explanation:
The area of the algae colony is a function of the radius r (meters), so
.
The radius of the circle formed by the algae colony is a function of time t (in minutes), so
. So,
[Substituting the expression for radius]

Then the expression provided by the area (square meters) is given by:
.