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Arturiano [62]
3 years ago
12

Which situation can be represented by this equation? 2,500 + 40x = 7,300-60x

Mathematics
1 answer:
koban [17]3 years ago
4 0

Answer:

x= 48

Step-by-step explanation:

2500+40x+60x=7300\\40x+60x=7300-2500\\100x=7300+2500\\100x=4800\\x=4800/100\\x=48

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The derivative of the function at this point is negative, which tells us <em>the function is decreasing at that point</em>.

The tangent to the line is a straight line, so we will have a linear equation of the form y = mx + c. We know the gradient, m, is equal to -1, so

y = -x + c

Now we need to substitute a point on the tangent into this equation to find c. We know a point when x = 0 lies on here. To find the y-coordinate of this point we need to evaluate f(0).

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y = -x + c \\\\ -1 = -(0) + c \\\\ -1 = c \\\\ \text{Equation of tangent is } \boxed{y = -x - 1}
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3 years ago
Yolanda wants to pour 91.48 grams of salt into a container so far she has poured 72.2 grams how much more salt should Yolanda po
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