A system of equations is a set of definite number of linearly independent equations in which they intersect at one or more points to find the values of the unknown variables depending on the number of participating equations. It is created by the standard form (y-h) = m (x-k) where (h,k) is given and that m or slope varies.
<h2>Answer:</h2>
The slope of the line joining (3.9, P(3.9)) and (4.1, P(4.1)). Option D is correct.
<h2>Explanations:</h2>
Instantaneous rate of change is the measure of slope of a curve at a given instant.
From the given diagram, we can see that there is a line drawn tangential to the curve. The x-axis (time) for the slope of the curve must lie within the range of the tangential line.
Sine the range of time for the tangential line is between around t = 3 and t = 5, hence the x-axis for the slope must lie within this range.
From the given option, the only coordinate points that lie within the range is (3.9, P(3.9)) and (4.1, P(4.1))
Answer:
Therefore, the graph of f(x) = (x – 8)^3 + 4, is the parent graph [g(x) = x^3] transformed 8 units to the right, and transformed 4 units up
Step-by-step explanation:
Recall,
If f(x) is a parent function:
• Horizontal shift: If h is the horizontal shift then f(x+h)) represents a graph which is formed when the parent graph is transformed to left (when h>0) or to right (when h<0))
• Vertical shift: If h is the vertical shift then f(x)+h represents a graph which is formed when the parent graph is transformed to up(when h>0) or to down (when h<0).
Therefore, the graph of f(x) = (x – 8)^3 + 4, is the parent graph transformed 8 units to the right, and transformed 4 units up.
Answer:
For question 4 the answer would be B.
For question 6 the answer would be D.
Step-by-step explanation: