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
Answer:
72+14=86 sq.unit
Step-by-step explanation:
the area of rectangle = 18*4=72
area of the triangles : A=hb/2= (3.5*4)/2=7
you have 2 triangles 7*2=14
72+14=86 sq.unit
Answer:
The slope will be 1 so one point down and one up.
The y-intercept is -2.
Step-by-step explanation:
s=slope
i=intercept
y=s*x+i
1) The typical sprint time is found by computing the average of the different sprint times, therefore the choice is between option A and C. The average is more accurate when you have a lot of measurements, therefore, since Lamont can run more times in a week than in a day, the correct answer will be:
<span>C) Sprint the 100 meters several times throughout the week and determine his average time to complete from the various runs.
2) T</span><span>he typical amount of energy usage is the average usage for all the neighborhood in one month. Therefore, to calculate the average, you will have to consider the total amount of energy used in a year by all the houses and divide it by the number of months in one year. Therefore, the correct answer will be:
</span><span>B) Take the energy usage of all the homes in the neighborhood for a year, and then divide it by 12.</span>
