O The line increases from the left to right
O The line crosses the x-axis at 2.5
O The line does not enter quadrant II at all...
...Are your answers
2y^3 – 2y – 10y + 10 + y^2 – 1 < 0 [the terms are simply reorganized again]
factor 2y from the first two terms, -10 from the second two terms
2y (y^2 -1) – 10 (y-1) + y^2 – 1 < 0
2y (y+1)(y–1) – 10 (y-1) + (y+1)(y–1) < 0 [ because y^2 – 1 = (y+1)(y–1) ]
factor out (y-1) from all the terms
(y-1) [2y(y+1)-10+ y+1] < 0
(y-1) [(y+1) (2y+1) - 10] < 0
Let us simplify (y+1) (2y+1) - 10 < 0 now
(y-1) (2y^2+y+2y+1-10) < 0
(y-1) (2y^2 +3y -9 < 0
(y-1) (2y^2 +6y -3y - 9) < 0 [ because 3y = 6y -3y] j
Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1) 
Given
2) 
Definition of Congruence
3) 
Segment Addition Postulate
4) 
Substitution Property
5) 
Transitive Property
6) 
Subtraction Property (of Equality)
7) 
Definition of Congruence
Let x be the amount he invests at 6%
1280 = 0.06x + 0.07(20000 - x)
1280 = 0.06x + 1400 - 0.07x
1280 - 1400 = -0.01x
-120 / -0.01 = x
x = 12000
Therefore, he invests $12,000 at 6% and $8,000 at 7%
a. How many quarts did they make is 25 quarts of lemonade
b. How much money will they make if they sell it all is $62.50
a. Calculation to determine How many quarts did they make.
Given: 1 gallon =5 quarts
Hence:
5 gallons of lemonade=5×5 quarts of lemonade
5 gallons of lemonade=25 quarts of lemonade
b. Calculation to determine how much money will they make if they sell it all
Given: 1 quarts=$2.50
Hence:
25 quarts=25 ×$2.50
25 quarts=$62.50
Inconclusion:
a. How many quarts did they make is 25 quarts of lemonade
b. How much money will they make if they sell it all is $62.50
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brainly.com/question/13442515
