Answer:
3003 units^3.
Step-by-step explanation:
Just multiply the dimensions :
11 * 13 * 21
= 143 * 21
= 3003 units^3.
Hey there!
For the left side, we are going to use the distributive property, which means:
a(b+c) = ab+ac
Therefore, we have:
4y + 8 = 32
Subtract 8 from both sides.
4y = 24
Divide both sides by 4 to get:
y = 6
I hope this helped you! :)
The actual price of a new lacrosse stick = $29
Percentage of discount given = 10%
Then
Amount of discount that is given = (10/100) * 29 dollars
= 29/10 dollars
= 2.9 dollars
So
The new price of the lacrosse stick = (29 - 2.9) dollars
= 26.10 dollars
So the new price of the lacrosse stick on display will be $29.10 dollars. I hope there is nothing complicated in the procedure for you to not understand. In future you can always use this procedure for solving similar problems without requiring any additional help from outside.
Answer:
B. (-0.73, 0), (2.73, 0)
Step-by-step explanation:
vertex form of a parabola
y = a(x-h)^2 +k
y = a(x-1)^2 -9
substitute the point in to find a
-6 = a (0-1) ^2 -9
-6 = a *1 -9
add 9 to each side
-6+9 = a -9+9
3 =a
y = 3(x-1)^2 -9
FOIL
y = 3(x-1)(x-1) -9
y = 3(x^2-2x+1) -9
distribute
y = 3x^2-6x+3-9
combine like terms
y = 3x^2 -6x -6
factor out 3
y= 3(x^2 - 2x -2)
set = 0
0 = 3(x^2 - 2x -2)
x^2 - 2x -2 =0
using the quadratic formula
-b±sqrt(b^2 -4ac)
----------------------
2a
-(-2) ± sqrt(2^2 - 4(1)(-2))
-------------------------------
2(1)
2 ± sqrt(4+8)
------------------
2
2±sqrt(12)
---------------
2
2±2sqrt(3)
----------------
2
1±sqrt(3)
roots: 2.73, and -.73
375.55 because if you do the math you get that
