Answer:
y- intercept --> Location on graph where input is zero
f(x) < 0 --> Intervals of the domain where the graph is below the x-axis
x- intercept --> Location on graph where output is zero
f(x) > 0 --> Intervals of the domain where the graph is above the x-axis
Step-by-step explanation:
Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.
f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.
X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.
f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.
Answer:
- 1/2
Step-by-step explanation:
We use the slope-intercept form to figure out our slope.
y = mx + b
Get y alone:
x + 2y = -8
2y = -x - 8
y = -x/2 - 4
Since m is the slope in y = mx + b, we can see that -1/2 is in the place of m, therefore our slope is -1/2
Let the equation be:
y = ax^2 + bx + c.
Then, substitue the three points into the equation.
First point: 0 = a0^2 + b0 + c.
So c = 0.
Second point: -2 = a(-1)^2 + b(-1) + c.
So a - b + c = -2.
Third point: 6 = a*1^2 + b*1 + c.
So a + b + c = 6.
We know that c=0 already, so we substitute c=0 into the last two equations and we would get:
a - b = -2
a + b = 6
We add the two equations and we get:
2a = 4
a = 2
Then, we substitute a=2 into a-b=-2 and we get:
-b = -4
b = 4
Now we know a = 2, b = 4, and c = 0
Then, the equation of the parabola would be:
2x^2 + 4x
Answer:
Step-by-step explanation:
Alright, lets get started.
Suppose car was driven x miles in its 4 days trip.
Cost of a car rental is thirty dollar per day.
So, for 4 days, the car rental will be = 
$
For 1 mile, it adds fifteen cents,
So, for x miles, the cost will be = 
$
As per question, total rent is 180 $
Total rent will be = 
Subtracting 120 in both sides
It means car was driven 400 miles. : Answer
Hope it will help :)
