The coefficient of the x-term is -3. Add the square of half of that.
.. (-3/2)² = 9/4 . . . . . . the number you need to add.
x² -3x +9/4 = (x -3/2)²
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If the x² term has a coefficient other than 1, you need to factor that out first and deal with the remaining binomial. For example,
.. 2x² -6x = 2(x² -3x)
For this you would need to add 9/4 inside parentheses to get
.. 2(x² -3x +9/4) = 2(x -3/2)²
Of course, to keep the original value, you would need to subtract 2*(9/4) outside parentheses.
.. 2x² -6x = 2(x -3/2)² -9/2
Answer:
y = 2.6x + 8
Plug 40 into y
40 = 2.6x + 8 and solve for x
x = 12.3 gallons
Answer: (B) SinA = 4/5
Step-by-step explanation: Sine= O/H or opposite of hypotenuse so in regards to the triangle opposite is 28 and hypotenuse 35 or 28/35 which also equals 4/5
Answer
The distance from the house to the lake is (2.5 hr)*(48 mi/hr) = 120 miles. The rerurn trip would take (120 mi)/(40 mi/hr) = 3 hours. Distance equals rate times time, so the distance to the lake is 2 1/2 hours times 48 miles per hour.
I hope this helps
Answer:
z = 1.25
Step-by-step explanation:
