X^2 +6x-6=0 taking -6 to cross the equal sign
x^2+6x=6 by completing squ.
x^2 +6x+ 9= 6+9
x^2 +6x +9 =15
(x+3)^2= 15
x+3= 15^0.5
x= 3,87298-3 or -3.87298-3
x= 0.87298 or -6.87298
Answer:
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Answer:
5.6
Step-by-step explanation:
3.4-2.3=1.1
2.3+1.1=3.4
3.4+1.1=4.5
4.5+1.1=5.6
15 liters increased by 60% is 24 liters.
Answer:
y = 2(x - 1)² + 1
Step-by-step explanation:
The equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, 1), thus
y = a(x - 1)² + 1
To find a substitute (4, 19) into the equation
19 = a(4 - 1)² + 1
19 = 9a + 1 ( subtract 1 from both sides )
18 = 9a ( divide both sides by 9 ), thus
a = 2
y = 2(x - 1)² + 1 ← in vertex form