Answer: Option A
Step-by-step explanation:
In the graph we have a piecewise function composed of a parabola and a line.
The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.
The equation of this parabola is
Then we have an equation line
Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."
(this is )
Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle
.
(this is )
Then the function is:
Answer:
12x - 9y
Step-by-step explanation:
According to the distributive property:
3(4x - 3y) =
3*4x - 3*3y =
12x - 9y
Answer:
3 kilograms should be 105.822 ounces when converted.
Step-by-step explanation:
Answer:
y = $38.97
y = 6.495(5) + 6.495
Step-by-step explanation:
So for this problem, since it states the cost and length of the subscription are related, you can use the two subscription costs as data (or coordinate) points.
1 year = 12.99, 3 year = 25.98; so (1,12.99), (3, 25.98) use these points to calculate the average rate of change (or the slope (m)).
(y - y1)/(x - x1) = m so, (25.98-12.99)/(3 - 1) = 6.495, this is the slope, m
y = 6.495(x) + b now just pick one of the points and put in the x and y values to solve for b
12.99 = 6.495(1) + b solve for b and you discover it also = 6.495 = b
so y = 6.495(x) + 6.495 is the equation of the line, to answer their question, just pop in x=5 for the 5 years subscription cost
y = 6.495(5) + 6.495
y = $38.97
Answer:
divided by -5
Step-by-step explanation: