2 years ago

There are 33 questions on Allison's

Mathematics

1 answer:

Brums [2.3K]2 years ago

4 0

Answer:

x=15

y=18

Step-by-step explanation:

then x+y=33

and 2x+5y=120

then x=33–y

since 2x+5y=120

then 2(33–y)+5y=120

then 66–2y+5y=120

then 66+3y=120

then 3y=120–66

then 3y=54

then y=54/3

then y=18

then x=33–18=15

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Answer:

$(11\frac{1}{3},20)$

Step-by-step explanation:

If the Number of Sales of x units, N(x) is defined by the function:

$N(x)=-5x^3+235x^2-3400x+20000,10\leq x\leq 40$

$N'(x)=-15x^2+470x-3400\\When -15x^2+470x-3400=0\\x=20, x=11\frac{1}{3}$

Next, we text the critical points and the end points of the interval to see where the derivative is increasing.

$N'(10)=-200\\N'(11\frac{1}{3})=0\\N'(19)=115\\N'(20)=0\\N'(40)=-8600$

Thus, the rate of change of sales $N'(x)$ is increasing in the interval $(11\frac{1}{3},20)$ on 10≤x≤40.

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