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Andreas93 [3]
3 years ago
13

Help 15 pts just for you!!!: A function f(x) is graphed on the coordinate plane. What is the equation of this line?

Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0
The y-intercept (b) can be found instantly from the graph:  (0,-2).  

The slope is

         0 - (-2)
m = ----------- = 2/6 = 1/3
         6 - 0

Thus, using y = mx + b, we find that the equation of this line is y = (1/3)x - 2.
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A store finds that its sales revenue changes at a rate given by S'(t) = −30t2 + 420t dollars per day where t is the number of da
allochka39001 [22]

Answer:

Step-by-step explanation:

Give the rate of change of sales revenue of a store modeled by the equation S'(t)= -30t^{2} + 420t. The Total sales revenue function S(t) can be gotten by integrating the function given as shown;

\int\limits {S'(t)} \, dt = \int\limits ({-30t^{2}+420t }) \, dt \\S(t) = \frac{-30t^{3} }{3}+\frac{420t^{2} }{2}\\  S(t)= -10t^{3} +210t^{2} \\

a) The total sales for the first week after the campaign ends (t = 0 to t = 7) is expressed as shown;

Given\ S(t) = -10t^{3} + 210t^{2}

S(0) = -10(0)^{3} + 210(0)^{2}\\S(0) = 0\\S(7) = -10(7)^{3} + 210(7)^{2}\\S(7) = -3430+10,290\\S(7) = 6,860

Total sales = S(7) - S(0)

= 6,860 - 0

Total sales for the first week = $6,860

b) The total sales for the secondweek after the campaign ends (t = 7 to t = 14) is expressed as shown;

Total sales for the second week = S(14)-S(7)

Given S(7) = 6,860

To get S(14);

S(14) = -10(14)^{3} + 210(14)^{2}\\S(14) = -27,440+41,160\\S(14) = 13,720

The total sales for the second week after campaign ends = 13,720 - 6,860

= $6,860

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The tip is $11.39

Step-by-step explanation:

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Answer:

Answer is 0.1

Step-by-step explanation:

You might have rounded to the nearest hundredth instead of tenth, remember tenth is the first decimal, then hundredth, thousands, etc.

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