11 and 12 that’s the answer
Answer:
y = (x - 3)² - 3
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
To obtain this form use the method of completing the square
add/subtract (half the coefficient of the x- term )² to x² - 6x
Given
y = x² - 6x + 6
= x² + 2(- 3)x + 9 - 9 + 6
= (x - 3)² - 3 ← in vertex form
Answer:
-0.391 < x < 0.391
Step-by-step explanation:
The Maclaurin series for cosine is:
cos(x) = ∑ (-1)ⁿ x²ⁿ / (2n)!
So the next term would be -x⁶/6!. When the absolute value of this is less than the error:
│-x⁶/6!│< 0.000005
x⁶ / 720 < 0.000005
x⁶ < 0.0036
-0.391 < x < 0.391
Answer:
in simplified version it would be x ≤-4
Step-by-step explanation:
multiply each term in x ≤-4 by -1
Answer:
44%
Step-by-step explanation:
So you have 2 bottles. One bottle is 8ml and is 80% acid. the other is 12 ml and is 20% acid.
This means there's 6.4 ml of acid in bottle 1(8*0.8) and 2.4 ml of acid in the other one(12*0.2).
The total amount of liquid is 8+12 = 20
The total amount of acid is 6.4+2.4 = 8.8
Percentage of acid in the new solution is 8.8/20 = 0.44 = 44%