Answer:
Step-by-step explanation:
Assuming the situation can be modelled using a linear equation, then the line must pass through the point (2,54) and (4,100).
To find the equation of this line, we determine the slope using:
Substitute the coordinates of the points:
We use the following formula to find the equation of this line.
We substitute the first point a d slope to get:
Expand the parenthesis to get:
This simplifies to
This is the slope-intercept from.
Answer:
Domain: (-∞, 0] U (0, ∞): All real numbers.
Range: (-∞, ∞)
Step-by-step explanation:
This function is composed of two polynomial functions, a quadratic whose domain is all real numbers and a negative slope whose domain is all real numbers.
Observe in the attached graph that the function is continuous for the whole domain, it does not have any jump. In addition, the parabolic function comes from ∞, then it has a minimum value in y = 1 it grows up to y = 4. Finally it joins with the equation of the line and it extends to -∞.
Then we can conclude that for this piecewise function:
Domain: (-∞, 0] U (0, ∞): All real numbers.
Range: (-∞, ∞)
Answer:
The Center is (-2 , 3)
Radius of the circle is 3
Step-by-step explanation:
∴ the center is ( -2, 3)
radius of thw circle is 3