What is the next step in using the distributive property to solve this equation?
1 answer:
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Answer:
Step-by-step explanation:
The y-intercept (when x = 0) on the quadratic graph is 3, the upper quadratic graph does not intersect the x-axis, and the endpoint of the function has an open circle that stops at x = 1. The starting point extends to the boundaries of the graph
Therefore, the piecewise function shown in the quadratic graph is given as follows;
f(x) = x² + 3; x < 1
The straight line graph has a negative slope and starts at x = 1, with a closed circle, extending to higher values of <em>x</em> to the boundaries of the graph
Two points on the straight line graph are (1, 3) and (5, -5), therefore, the slope is (-5 - 3)/(5 - 1) = -2
The equation of the function is y - 3 = -2·(x - 1)
∴ y = f(x) -2·x + 2 + 3 = -2·x + 5
f(x) = -2·x + 5; x ≥ 1
Answer:
Step-by-step explanation:
Let
x ----> the number of minutes
y ----> the amount of fuel in gallons
we know that
The linear equation in slope intercept form is equal to
where
m is the unit rate or slope
b is the y-intercept or initial value
we have that
The unit rate or slope is equal to
----> initial value (value of y when the value of x is equal to zero)
substitute