Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
Answer:
T+V/I
Step-by-step explanation:
multiply both sides by I to get rid of fractions ti=V
Set the two values equal to each other with 18x-2=12x+2 and then plug it in to the equation and solve
Answer:
I was not sure to what decimal point to round it to
a) Fraction: 2/7 Decimal: 0.28571 Percent: 28.571 %
b) Fraction: 5/7 Decimal: 0.71428 Percent: 71.428 %
c) Fraction: 1/7 Decimal: 0.14285 Percent: 14.285 %
This is the best I got Require to make 2 equations with the same repeating part and subtract them to eliminate the repeating part.
begin by letting x = 0.5555555................. (1)
To obtain the same repeating part after the decimal point need to multiply by 10
hence 10x = 5.555555........................(2)
It is important to obtain 2 equations in x, where the recurring part after the decimal points are exactly the same.
now subtract (1) from (2) to obtain fraction
(2) - (1) : <span>9x=5⇒x=<span><span>59</span></span></span>
