X, Y and Z are all equal. Hope I helped, please rate me as the brainliest!!
Please use " ^ " to denote exponentiation: <span>f(x) = 4x^2 + 2x -5. To find the vertex form of this equation, complete the square:
f(x) = 4x^2 + 2x - 5
= 4(x^2 + (2/4)x) - 5
= 4(x^2 + (1/2)x ) -5
= 4(x^2 + (1/2)x + 1/16 ) - 4/16 - 5
= 4(x+1/4) - 21/4 <= in vertex form
Here h= -1/4 and k = -21/4. The vertex is at (-1/4, -21/4)</span>
Annual Social Security benefit = 0.42 x $37,991 = $15,956.22
Annual bills = $1,755 x 12 = $21,060
Outstanding annual bill to be settled after using the Social Security benefit = $21,060 - $15,956.22 = $5,103.78
Monthly supplementary money needed = $5,103.78/12 = $425.32
Answer:
3137
Step-by-step explanation:
The decay factor is 400/110,000 = 1/275 in 30 hours. Assuming an exponential decay, the equation for the number remaining can be ...
n(t) = 110,000·(1/275)^(t/30)
Then after 19 hours, the number remaining is ...
n(19) = 110,000·(1/275)^(19/30) ≈ 3137
There will be about 3137 bacteria after 19 hours.
Let x be the number of members in Daniel's tennis team.
The amount made = $582.85
Expenses (food and drinks) = $64
Balance remaining for sharing = 582.85 - 64 = $518.85
Amount received by each player = (amount made - Expenses)/Number of members = 518.85/x
