The y-value of the vertex is positive 3, as shown by the +3 on the right hand side of the equation, and the x-value is -1, from the (x+1)^2 (remember, when the number is inside the brackets, flip the sign) The vertex would be (-1, 3)
If you are looking for a rigorous answer (calculus), we must find the mininum point of the equation: f(x) = (x+1)^2 + 3 f
f'(x) = 2(x+1) = 2x + 2
2x + 2 = 0
x = -1
f(1) = (-1 + 1)^2 + 3
f(1) = 0 + 3 = 3
(-1, 3)
Answer:
10 inches
Step-by-step explanation:
18*2=36
56-36=20
20/2= 10
The missing side length is 10 inches.
Hope this helps! Have a nice day :)
Answer:
$29,900
Step-by-step explanation:
The computation of the balance of Work in Process as of April 30 is shown below:
= Opening balance of work in process + direct material cost + direct labor cost + factory overhead cost - goods finished
= $7,000 + $78,400 + $195,000 + $136,500 - $387,000
= $29,900
The direct material cost + direct labor cost + factory overhead cost is known as manufacturing cost
13. Pick a point and see which formula works.
Ay = -4, A'y = 7. Only the formula of selection D makes that translation.
14. Use the compound interest formula A = P*(1 +r/n)^(nt).
..1500*1.015^80 = 4935.99, matching selection C
15. The lid has a perimeter of 90", so the area of the sides is
.. 90" * 24" = 2160 in^2
The area of the lid is
.. 30" * 15" = 450 in^2
The gray area is (2160 -450) in^2 = 1710 in^2 larger, corresponding to selection C.
16. The only formula that maps (7, -1) to (21, -3) is that of selection D.
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The middle two problems are the only ones that require you to have prior knowledge. The others could be answered simply by seeing if the answers work.
<span>1 gallon = 4 quarts = 8 pints = 16 cups </span>
