Answer:
(r*s) = (x-5)(2x+6) = 2x2 + 6x - 10x - 30 = 2x2 - 4x - 30
(r-s)(x) = x-5 - (2x+6) = x - 5 - 2x - 6 = -x - 11
(r+s)(x) = x - 5 + 2x + 6 = 3x + 1
(r + s)(3) = 3(3) + 1 = 9 + 1 = 10
Step-by-step explanation:
Combine like terms
20=2x+4
Subtract 4 from both sides
16=2x
Divide both sides by 2
8=x
Final answer: x=8
Discount = 20% of the product price
Discount = 20/100 × $62.50
Discount = $12.5
If the width of the cardboard = x cm then its length is given by x + 8 cm.
Then the length of the box will be x + 8 - 2(2) = x + 4
and the width = x - 2(2) = x - 4 cm The height is 2 cm
Volume = h*w*l = 2(x - 4)(x + 4) = 256
2(x^2 - 16) = 256
x^2 - 16 = 128
x^2 = 144
x = 12 cm
Dimensions of the box are:-
length = 12 + 4 = 16cm
width = 12 - 4 = 8 cm
height = 2 cm
The intersection of two sets A and B is defined as the set composed by the elements appearing in both A and B.
So, the intersection is
Because all the other numbers do not belong to both sets:
- 2, 3 and 7 belong to A alone
- 13, 15 and 17 belong to B alone
- 5 and 11 belong to both A and B
