Answer:
Hello :
y = 2x² - x -6
y = 2 ( x² - 1/2 x - 3)
y = 2 (x² -1/2 x + 1/16 -1/16 -3)
y = 2 (( x - 1/4 )² - 49/16)..... the quadratic formula
y = 0 : ( x - 1/4 )² - 49/16 = 0
( x - 1/4 )² - (7/4)² = 0
( x -1/4-7/4)( x -1/4+7/4)=0
(x -2)(x + 3/2) = 0
x - 2 = 0 or x + 3/2 =0
x = 2 or x = - 3/2
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Answer:The expressions for the payment made to Mary are,
(Monday) 90 = 15m + b
(Tuesday) 62 = 8m + b
where m and b are the fee per student and the base fee, respectively. Solving for m and b, the values are 4 and 30.
The equation that represents Mary's earning is
y = 4x + 30
For 20 students,
y = 4(20) + 30 = 110
For Lisa's earnings,
y = 8x + 15
Substituting 20,
y =8(20) + 15 = 175
Thus, Lisa would earn more than Mary by $65.
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Step-by-step explanation:
A = side^2 * (2 + 2sqrt2))
A = 4^2 * (2 + 2sqrt2))
A = 77.25 cm^2