I found the same problem but with given choices:
A.1 year
<span>B.2 years </span>
<span>C.3 years </span>
<span>D.4 years </span>
<span>E.6 years
</span>
profit = total revenue - total cost
p(x) = x³ - 4x² + 3x - 12
simply plug each choices to solve. answer must be 0.
A) p(1) = 1³ - 4(1²) + 3(1) - 12 = 1 - 4 + 3 - 12 = -12
B) p(2) = 2³ - 4(2²) + 3(2) - 12 = 8 - 16 + 3 - 12 = -17
C) p(3) = 3³ - 4(3²) + 3(3) - 12 = 27 - 36 + 9 - 12 = -12
D) p(4) = 4³ - 4(4²) + 3(4) - 12 = 64 - 64 + 12 - 12 = 0
E) p(6) = 6³ - 4(6²) + 3(6) - 12 = 216 - 144 + 18 - 12 = 78
It would take 4 years for the company to reach break-even point.
Answer:
https://www.commoncoresheets.com/Math/Properties/Applying%20Properties%20of%20Operations/Spanish/2.pdf
Step-by-step explanation:
This will help you:) not a spam link its a pdf that brings you straight to the worksheet <3
Answer:
28 hours
Step-by-step explanation: you divide 1,456 by 52
52 goes into 145 2 times which is 104, then subtract 104 from 145 to get 41, next bring down the 6 from 1,456 to 41 to make it 416 which 52 goes into 8 perfectly. to make the answer 28
Answer:
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
Step-by-step explanation:
We are told she would like to have at least 40 cupcakes and cookies combined.
If a is number of cupcakes and b is number of cookies, then this inequality is;
a + b ≥ 40
Secondly, we are told she would like to have at most 5 more cupcakes than cookies.
Thus, the inequality is;
a + 5 ≤ b
Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50
Thus, the inequality is;
2.50a + 1.50b ≤ 105
Finally, the 3 inequalities are;
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
Answer:
1/7
Step-by-step explanation:
Since we do not know the number let us use the alphabet A to represent the unknown number
A × 1/3= 1/21
A/3= 1/21
Cross multiply both sides
A×21= 3×1
21A= 3
Divide both sides by the coefficient of A which is 21
21A/21=3/21
A=1/7
Hence the unknown number is 1/7