Answer:
<em>The answer is (B).</em>
Step-by-step explanation:
A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x =
g(x) =
is inverse function of f(x) and ≠
- 3
<em>B).</em> y = f(x) =
- 3 ⇔ 4y = 5x - 12 ⇔ x =
g(x) =
is inverse of f(x)
Answer:
Step-by-step explanation:
The given graph is a straight line graph. The y axis represents the number of quarts of yellow paint that is mixed. The x axis represents the number of quarts of red paint that is mixed. We would write the required equation in the slope intercept form. The slope intercept form equation of a straight line is expressed as
y = mx + c
Where
m represents slope
c represents y intercept.
Slope = (y2 - y1)/(x2 - x1)
Slope = (2 - 1)/(5 - 2.5) = 1/2.5
Slope = 0.4
The straight line cuts the y axis at y = 0
It means that c = 0
Therefore, the equation is
y = 0.4x
Assuming that says "y-axis", the slope of any line going straight up and down has a slope of 0 and is defined by its x value (i.e. x = -1)
Answer: 
Step-by-step explanation:
The area of a rectangle can be found with the following formula:

Where "l" is the length and "w" is the width.
In this case you can identify in the figure given in the exercise that:

You know that the area of that rectangle is the following:

Therefore, knowing those values, you can substitute them into the formula and then you must solve for "x" in order to find its value. You get that this is:

Answer:10
Step-by-step explanation: