Answer:
1.
2. undefined
3. .
4. .
5. .
6.
Step-by-step explanation:
1. The required line passes through . The slope of the line joining the points is given by the formula,
or
Either of them yields the same result.
Substitute into the first formula to get,
You can write this as a mixed number to obtain:
2. The given line passes through .
Observe that the first coordinates are the same for both points. This implies that, the line is vertical.
The slope of all vertical lines are undefined.
3. The average rate of change of the function on the interval is given by:
.
The given function is
.
.
4. The given function is
.
.
5. From the graph
.
.
.
6. The given equation is :
Add to both sides.
Divide through by 2.
Compare this function to
The slope is
Plug in 4 for x.
f(x) = 2x - 10
f(4) = 2(4) - 10
Simplify. Remember to follow PEMDAS. First, multiply, then subtract
f(4) = 8 - 10
f(4) = -2
-2 is your answer for f(4)
~
Given:
Line of the graph
To find:
Equation of the line
Solution:
Take any two points on the graph of the line.
Let the points are (0, 3) and (3, 0).
Slope of the line:
Here,
m = -1
b = y-intercept
y-intercept of the graph is the point which x = 0.
y-intercept is 3 when x = 0.
⇒ b = 3
Equation of a line:
y = mx + b
y = -1(x) + 3
y = -x + 3
The equation of the line is y = -x + 3.
Hope this helps! I though writing everything down on paper would be more beneficial
Answer:
48.64
Step-by-step explanation:
128-62%= 48.64
So she has 48.64 dollars left.
Hope this helps:)