Twenty four equals three x
Answer:
Step-by-step explanation:
Given
Required
Find c using Intermediate Value theorem
First, check if the value of M is within the given range:
M is within range.
Solving further:
We have:
Substitute 21 for f(x) in
Express as quadratic function
Expand
or
or
The value of is outside the
So:
By comparison:
Answer: y = 2x
Step-by-step explanation: Use the slope formula and slope-intercept form y=mx+b to find the equation.
Since the answer choices differ in their first coordinate, it is sufficient to determine that one. The 2:5 ratio means the distance from A to the point is 2/(2+5) = 2/7 of the total distance A to B.
The x-distance from A to B is 20 -1 = 19 units. 2/7 of that is (2/7)·19 = 38/7 = 5 3/7. Adding this value to the x-coordinate of A gives the x-coordinate of the point of interest: 1 +5 3/7 = 6 3/7.
The appropriate answer choice is ...
... (6 3/7, 12 2/7)