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:
$2,700
Step-by-step explanation:
Find the total donation amount by dividing 135 by 0.05:
135/0.05
= 2700
So, the class collected $2,700 in all
Answer:x = 8, y = 5
Step-by-step explanation:The sum of two numbers is 13. Two times the first number minus three times the second numberis 1. If you let x stand for the first number and y for the second number, the two numbers are: A. x = 8, y = 5
Answer: 12 sqrt(5)
Explanation:
First simplify:
= Sqrt(45)
= sqrt(9*5) sqrt of 9 is 3 so bring out 3
= 3sqrt(5)
= 2sqrt(20)
= 2sqrt(4*5) sqrt of 4 is 2 so bring that out and multiply it by 2
= 4sqrt(5)
= 5 sqrt(5) is already simplified
= 3sqrt(5) + 4 sqrt(5) + 5sqrt(5)
= 12 sqrt(5)
Answer:
C. ∠SRT≅∠VTR and ∠STR≅∠VRT
Step-by-step explanation:
Given:
Quadrilateral is a parallelogram.
RS║VT; RT is an transversal line;
Hence By alternate interior angle property;
∠SRT≅∠VTR
∠STR≅∠VRT
Now in Δ VRT and Δ STR
∠SRT≅∠VTR (from above)
segment RT= Segment RT (common Segment for both triangles)
∠STR≅∠VRT (from above)
Now by ASA theorem;
Δ VRT ≅ Δ STR
Hence the answer is C. ∠SRT≅∠VTR and ∠STR≅∠VRT