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anyanavicka [17]
2 years ago
12

Write an equivalent expression to 2x + 3 + 5(x+ 6) by combining like terms

Mathematics
1 answer:
cestrela7 [59]2 years ago
8 0

Answer:

7x + 33

Step-by-step explanation:

Distribute the multiplication in the last term:  5(x + 6) becomes 5x + 30.  Then,  2x + 3 + 5(x+ 6) becomes 2x + 3 + 5x + 30.  2x and 5x are 'like terms' and add up to 7x; 3 and 30 are also like terms of a different type (constants) and add up to 33.  

Thus we have the equivalent, simpler expression 7x + 33.

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The total revenue R earned (in dollars) from producing a gift box of candles is given by R(p)=-10p^2+800p, where p is the price
kherson [118]
A.) R(20) = -10(20)^2 + 800(20) = -10(400) + 16000 = -4000 + 16000 = $12,000

R(25) = -10(25)^2 + 800(25) = -10(625) + 20000 = -6250 + 20000 = $13,750

R(30) = -10(30)^2 + 800(30) = -10(900) + 24000 = -9000 + 24000 = $15,000

b.) For maximum revenue, dR/dp = 0
dR/dp = -20p + 800 = 0
20p = 800
p = 40

Therefore, the maximum revenue will be recorded when the price is set at $40.
4 0
3 years ago
Which shows the expression below in simplified form? (7.2 × 107) ÷ (9 × 104) A. 8 × 101 B. -1.8 × 102 C. 8 × 102 D. 8 × 104
Mariana [72]

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3 years ago
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oksian1 [2.3K]
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