Given that JKV is a triangle.
We need to determine the translated image of the coordinate V using the rule
<u>New point V:</u>
The coordinate of the point V is (4,-1)
The new point V can be determined using the rule
Now, substituting the point (4,-1) in the rule, we get;
New point =
Simplifying the terms, we get;
New point =
Thus, the coordinate of the new point V is (1,5)
slope =
To calculate the slope m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁) = (- 2, 0 ) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = =
Answer:
S'(x)=-0.006x2+0.8x+9
Step-by-step explanation:
The rate of change of the sales S(x) with respect to the amount of money spent on advertising x is then the derivative of S(x) with respect to x. What we have to calculate is S'(x).
We know that the derivative of is
(where a is a constant), and the derivative of a sum is the sum of the derivatives, so we can calculate the derivative of each term independently:
S'(x)=(−0.002x3 + 0.4x2 + 9x + 500)'=(−0.002)(3)x2 + (0.4)(2)x + 9
Which means:
S'(x)=-0.006x2+0.8x+9