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Posted: February 21st, 2022

1. A company sells its product for $44 per unit. Write an expression for the amount of money received (revenue R) from the sale of x units of the product. R = ________

2. Suppose a calculator producer has the complete price perform C(x) = 40x + 6600 and the complete income perform R(x) = 62x.

(a) What’s the equation of the revenue perform P(x) for the calculator?

P(x) = ________

(b) What’s the revenue on 2400 units?

P(2400) = $ ________

three. Suppose a ceiling fan producer has the complete price perform C(x) = 41x + 1860

and the complete income perform R(x) = 72x.

(a) What’s the equation of the revenue perform P(x) for this commodity?

P(x) =______

(b) What’s the revenue on 40 units?

P(40) = ________

(c) What number of followers have to be bought to keep away from shedding money?

______fans

four. Suppose a pc producer has the complete price perform C(x) = 70x + 3600 (in ) and the complete income perform R(x) = 370x (in ).

(a) What’s the equation of the revenue perform P(x) (in ) for this commodity?

P(x) =_______

(b) What’s the revenue (in ) on 338 gadgets?

P(338) = $_______

(c) What number of gadgets have to be bought to keep away from shedding money?

x = _______ gadgets

5. Use the guidelines of exponents to simplify in order that solely optimistic exponents stay. (Simplify your reply fully.)

a3 · a

_______________

6. Use the guidelines of exponents to simplify in order that solely optimistic exponents stay.

(Simplify your reply fully.)

(xy)2

___________________

7. Carry out the indicated operation and simplify.

−four(four − x2)

____________________

eight. Carry out the indicated operation and simplify.

(3y + 2)(2y − three)

____________________

9. Carry out the indicated operation and simplify.

(3x + 5)2

____________________________

10. Carry out the indicated operation and simplify.

three(2x + 1)(2x − 1)

____________________

11. Carry out the indicated operation and simplify.

(x − 9)(x2 + 9x + 81)

_____________________

12. Simplify by combining like phrases.

(18pq − 9p2) + (9pq + 3p2)

__________________________

1. A company sells its product for $44 per unit. Write an expression for the amount of money received (income R) from the sale of x units of the product. R = ________

2. Suppose a calculator producer has the complete price perform C(x) = 40x + 6600 and the complete income perform R(x) = 62x.

(a) What’s the equation of the revenue perform P(x) for the calculator?

P(x) = ________

(b) What’s the revenue on 2400 units?

P(2400) = $ ________

three. Suppose a ceiling fan producer has the complete price perform C(x) = 41x + 1860

and the complete income perform R(x) = 72x.

(a) What’s the equation of the revenue perform P(x) for this commodity?

P(x) =______

(b) What’s the revenue on 40 units?

P(40) = ________

(c) What number of followers have to be bought to keep away from shedding money?

______fans

four. Suppose a pc producer has the complete price perform C(x) = 70x + 3600 (in ) and the complete income perform R(x) = 370x (in ).

(a) What’s the equation of the revenue perform P(x) (in ) for this commodity?

P(x) =_______

(b) What’s the revenue (in ) on 338 gadgets?

P(338) = $_______

(c) What number of gadgets have to be bought to keep away from shedding money?

x = _______ gadgets

5. Use the guidelines of exponents to simplify in order that solely optimistic exponents stay. (Simplify your reply fully.)

a3 · a

_______________

6. Use the guidelines of exponents to simplify in order that solely optimistic exponents stay.

(Simplify your reply fully.)

(xy)2

___________________

7. Carry out the indicated operation and simplify.

−four(four − x2)

____________________

eight. Carry out the indicated operation and simplify.

(3y + 2)(2y − three)

____________________

9. Carry out the indicated operation and simplify.

(3x + 5)2

____________________________

10. Carry out the indicated operation and simplify.

three(2x + 1)(2x − 1)

____________________

11. Carry out the indicated operation and simplify.

(x − 9)(x2 + 9x + 81)

_____________________

12. Simplify by combining like phrases.

(18pq − 9p2) + (9pq + 3p2)

__________________________

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