Answer:
a. 
b Slope: 
or 
Step-by-step explanation:
The equation of a line that passes through the origin is:
Where "m" is the slope of the line.
By definition, Direct variation equations have the following form:
Where "k" is the Constant of variation.
Then, you can conclude that:
a. Let be "d" the distance in miles that the train travels per gallon.
You can observe in the graph that when the train travels 10 miles, it uses 100 gallons. Then, you can set up the following proportion:
Solving for "x", you get:
Then, it travels 0.1 miles per gallon.
b. The slope is also or . To check this, you can subsitute the coordinates of the point (100,10) into and solve for "m" in order to find its value.
This is:
Answer
111
Step-by-step explanation:
900-789=111
Answer:
Step-by-step explanation:
n² + 3n - 18 = 0
n = [-3 ±√(3²-4(1)(-18)]/[2(1)] = [-3 ±√81]/2 = 3, -6
<h3>
Answer: Choice D</h3>
Explanation:
For now, let's ignore the blue curve.
If we kept the red curve completely fixed in place, and only moved the xy axis, then we can move the xy axis 5 units to the right to give the illusion the red curve is moving (even though it's fixed in place).
Moving the xy axis 5 units to the right means each x input is 5 units larger. So x jumps up to x+5
In other words, going from f(x) to f(x+5) will shift the f(x) curve 5 units to the left. So that's why we go from x^2 to (x+5)^2 which is what choice D shows.
Answer:
is there supposed to be a image there for us to see or no?
