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:
83.33%
Step-by-step explanation:
300 - 50 = 250
250/300 = 0.8333 or 83.33%
Answer: 180cm^2
Explanation: First, multiply 1.5 by 1.2 to get the area of the rectangle in METERS, which is 1.8. Since the question is asking for the area in CENTIMETERS, multiply 1.8 by 100 (because 1 meter=100 centimeters) to get 180cm^2.
Hope that helped :)
Answer:
-1152
Step-by-step explanation:
abc² the expression can be rewritten using the given values for each letter
(-3)*6*(-8)^2 now we find the second power of (-8) by multiplying it with itself
(-8)*(-8) = 64
(-3)*6*64 = -1152
I pretty sure the best answer would be f(x)=cbrt(27-x)
cbrt means cube root by the way.