<span>dimensions of the nickel plated square base: x*x = x^2
height: y
dimensions of the 4 silver plated sides: xy each
dimensions of the nickel plated top: x^2
Volume = 30cm^3 = yx^2 => y = 30 / x^2
Cost of the sides: 4 * xy * $3
Cost ot the top and the bottom: 2 * x^2 * $1
Total cost: 12xy + 2x^2
replace y by 30/x^2
=> cost = 12x * (30/x^2) + 2x^2 = 360 / x + 2x^2
Minimum cost => d [cost] / dx = 0 = - 360/x^2 + 4x =0
=> 90/x^2 - x =0
=> 90 - x^3 = 0
=> x^3 = 90
=> x = ∛(90) = 4.48
=> y = 30 / (4.48)^2 = 1.49
Answer: base: 4.48 cm* 4.48 cm; height: 1.49 cm
</span>
Answer:
x^2+x+1
Step-by-step explanation:
Your welcomeeee
(4x2 – 4x – 7)(x + 3)
(4x2 – 4x – 7)(x) + (4x2 – 4x – 7)(3)
4x2(x) – 4x(x) – 7(x) + 4x2(3) – 4x(3) – 7(3)
4x3 – 4x2 – 7x + 12x2 – 12x – 21
4x3 – 4x2 + 12x2 – 7x – 12x – 21
4x3 + 8x2 – 19x – 21
Answer:
≈ 30 times
Step-by-step explanation:
The Cubs are projected to win 38 games next season and this is a 22.6% increase from past season.
Step 1 : Let's find 22.6% of 38.
= 8.588
Step 2 : Now, since we increased by this, we subtract.
38 - 8.588 = 29. 412
Of course you can't win only part of a game, so I'm going to say they won 30 times, because a little extra win never hurt anybody. :)
Hope this helps, please mark brainliest!