Step-by-step explanation:
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What is the average rate of change for ƒ(x) = −2x + 70 over the interval 2 ≤ x ≤ 6?
1 answer:
Answer:
The average rate of change is -2
Step-by-step explanation:
we know that
To find out the average rate of change, we divide the change in the output value by the change in the input value.
In a linear function the average rate of change is a constant and is equal to the slope of the function
The linear function in slope intercept form is equal to
where
m is the slope or unit rate of the linear function
b is the y-intercept or initial value of the linear function
In this problem we have
so
therefore
The average rate of change is -2
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The cosine ratio is adjacent leg divided by the hypotenuse.
The hypotenuse in a right triangle is the longest side and it is opposite the right angle.
An adjacent leg is the side that has an endpoint that is at the vertex of the angle and the other endpoint is at the vertex of the right angle.
cos A =
ANSWER:
The hypotenuse in a right triangle is the longest side and it is opposite the right angle.
An adjacent leg is the side that has an endpoint that is at the vertex of the angle and the other endpoint is at the vertex of the right angle.
cos A =
ANSWER:
Answer:
Step-by-step explanation:
The first equation is
The second equation is
When we graph these two equations, <em>they will meet at a point which represent the solution of the two equations</em>.
We can solve the two equations simultaneously to determine their point of intersection.
Let us substitute the second equation into the first equation to get;
Multiply through by 2 to get;
Group similar terms to obtain;
Simplify;
Divide both sides by 3;
Put into the second equation;
Therefore the graphs of the two functions intersect at (2,3)
See graph in attachment.
