Answer:
28 - 4x
Step-by-step explanation:
![18 -2 [x + (x - 5)] \\ = 18 - 2 [x + x - 5] \\ = 18 - 2 [2x - 5] \\ = 18 -4x + 10 \\ = 28 - 4x \\](https://tex.z-dn.net/?f=18%20-2%20%5Bx%20%2B%20%28x%20-%205%29%5D%20%20%5C%5C%20%20%3D%2018%20-%202%20%5Bx%20%2B%20x%20-%205%5D%20%20%5C%5C%20%20%3D%2018%20-%202%20%5B2x%20-%205%5D%20%5C%5C%20%20%3D%2018%20-4x%20%20%2B%2010%20%5C%5C%20%20%3D%2028%20-%204x%20%5C%5C%20)
$19/1.05= $18.095 rounds to $18.10
The sale tax on the item is $0.90
Answer:
the other zeros of this function are {-2, 3}
Step-by-step explanation:
Use synthetic division to find the roots. The coefficients of this cubic function are 1, -2, -5, 6, and we begin by using 1 as our first divisor:
1 / 1 -2 -5 6
+1 -1 -6
--------------------------
1 -1 -6 0
Because the remainder is zero (0), we can conclude that 1 is indeed a root of the given polynomial. The quotient is 1x^2 - 1x - 6, whose roots can be found either through synthetic division or factoring. In this case the factors are (x - 3) and (x + 2), so the other zeros of this function are {-2, 3}.
Answer:
, x = $6
Step-by-step explanation:
The expression
to represent the store's weekly profit in dollars, where x represents the price of a new video game.
Let 
We need to rewrite this quadratic function in the vertex form.




The equivalent expression that reveals the video game price that produces the highest weekly profit is 
and the price is $6
Answer:
3 boxes
Step-by-step explanation:
First, we need to find the area of the whole square, so we can find out how much to subtract from. We can easily do this by multiplying 16 by 16, since it is a square.
16*16=256 square feet.
Now, we just need to find the area of the circular rug, and subtract it from 256 to find the area not covered by the rug that needs to be tiled. Since the sides of the rug touch each side of the floor, than the diameter will be the same as the side length of the square. Thus, the diameter is 16.
Now we can use the equation <em>A=pir^2 </em>or <em>Area=pi*radius squared</em> to find the area of the circle. The radius is halve of the diameter, so divide 16 by 2 to get the radius, or 8. Now all we have to do is square 8 and multiply it by 3.14.
8^2=64
Now multiply.
64*3.14=200.96.
The area of the circle is 200.96, so subtract 200.96 from 256.
256-200.96=55.04.
So they will need 3 boxes to cover the area left.
Hope this helps!