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3 years ago

6

the function for the cost of manufacturing lawnmowers is C = 0.008x^2-0.4x+75, where C is the total cost (in dollars) and x is t

he number of lawnmowers produced. How many units should be produced each day to yield a minimum cost

1 answer:

dalvyx [7]3 years ago

4 0

The minimum is 7.2 in c

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HURRY ASAP PLEASE <br> Which of the following is the inverse

zloy xaker [14]

Let y = f(x)

Let cr = cube root for short

y = cr{3x} + 2

Switch x and y.

x = cr{3y} + 2

Solve for y.

x - 2 = cr{3y}

Raise both sides to the 3rd power.

(x - 2)^3 = [cr{3y}]^3

(x - 2)^3 = 3y

[(x - 2)^3]/3 = y

Replace y with the inverse function notation

f^(-1) x.

f^(-1) x = [(x - 2)^3]/3

Choice b is the answer.

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%7D%20%287%5Csqrt%5B3%5D%7B8y%5E2%7D-%5Csqrt%5B3%5D%7By%5E5%7D%20-4y%5Csqrt%

noname [10]

Answer:

$\huge\boxed{-y^2+2y}$

Step-by-step explanation:

$\sqrt[3]y\cdot\left(7\sqrt[3]{8y^2}-\sqrt[3]{y^5}-4y\sqrt[3]{27y^2}\right)\\\\=(\sqrt[3]y)(7\sqrt[3]{8y^2})-(\sqrt[3]y)(\sqrt[3]{y^5})-(\sqrt[3]y)(4y\sqrt[3]{27y^2})\\\\=7\sqrt[3]{(y)(8y^2)}}-\sqrt[3]{(y)(y^5)}-4y\sqrt[3]{(y)(27y^2)}\\\\=7\sqrt{8y^3}-\sqrt{y^6}-4\sqrt{27y^3}\\\\=7\sqrt[3]{2^3y^3}-\sqrt{y^{2\cdot3}}-4\sqrt{3^3y^3}\\\\=7\sqrt[3]{(2y)^3}-\sqrt{(y^2)^3}-4\sqrt{(3y)^3}\\\\=7\cdot2y-y^2-4\cdot3y\\\\=14y-y^2-12y\\\\=-y^2+2y$

Used:

$a(a+b)=ab+ac\\\\\sqrt[3]{a\cdot b}=\sqrt[3]a\cdot\sqrt[3]b\\\\\sqrt[3]{a^3}=a\\\\(a^n)^m=a^{n\cdot m}$

7 0

2 years ago

What is the missing value in the solution to the equation. y=3x-7

nikitadnepr [17]

Answer:

minus 4

Step-by-step explanation:

y=3x-7

y=3-7

y=-4

(1,-4)

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3 years ago

Can you Solve for c?

Gennadij [26K]

Answer:

$3\sqrt{2}$ or $\sqrt{18}$

Step-by-step explanation:

Use 45-45-90 triangle theorem

3* $\sqrt{2}$

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fiasKO [112]

144 is the correct answer

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4 years ago