Answer:
- The instantaneous rate of increase of f(x) at
is 3. - One possible equation of this line is y = 3x - 16.
- The line is tangent to the graph of y = f(x). The slope of the line is the same as the instantaneous rate of increase of f(x) at
.
Step-by-step explanation:
<h3>1.</h3>
.
<h3>2.</h3>
.
In other words, the graph of y = f(x) passes through the point (3, -7) where
.
The point-slope form of a line in a cartesian plane is:
.
For this line,
is the point on the line, while
is the slope of the line.
The equation of this line will thus be
.
That's equivalent to
.
<h3>3.</h3>
Refer to the diagram attached. The line touches the graph of y = f(x) at x = 3 without crossing it. The line here is thus a tangent to the graph of y = f(x) at x = 3. The slope of the line represents the instantaneous rate of increase of f(x) at
.
Answer:
25
Step-by-step explanation:
Answer:
B. 6x^{2}+6y^{2}=144
Step-by-step explanation:
The system of equation which represent the scenario is;
x + y = 42
x + y = 420.13x + 0.18y = 6.66
<h3>Simultaneous equation</h3>
let
- number of 13 cent stamps = x
- number of 18 cent stamps = y
- Total cost of the stamps = $6.66
- Total number of stamps = 42
x + y = 42
x + y = 420.13x + 0.18y = 6.66
Therefore, the equation which represent the problem is;
x + y = 42
0.13x + 0.18y = 6.66
Learn more about simultaneous equation:
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This is easy, all you need to do is divide 48/2.5 and you have your answer.