Answer:
14. 4 + x - 2
15. 8k - 3k
16. 5 + 2y + 15
Step-by-step explanation:
14. "sum" means adding, "minus" means subtract
sum of four and x: 4 + x
minus two: 4 + x - 2
15. "product" means multiplying, "decreased by" means subtract, "times" means multiply
the product of k and 8: 8k
three times k: 3k
the product of k and 8 decreased by three times k: 8k - 3k
(Depending on what the question is asking, you may or may not need to simplify this to 5k (8k - 3k = 5k))
16. "more" means add, "plus" means add, "twice" means multiply by two
five: 5
plus twice y: 5 + 2y
fifteen more: 5 + 2y + 15
Answer:
he purchased 5 movies bro
Step-by-step explanation:
Answer:
- 12 ft parallel to the river
- 6 ft perpendicular to the river
Step-by-step explanation:
The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.
72 = W(2W)
36 = W²
6 = W . . . . . . the width perpendicular to the river
12 = 2W . . . . the length parallel to the river
_____
<em>Development of this relation</em>
Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...
A = xy = x(T -x)/2
Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...
x = (0 +T)/2 = T/2
The corresponding area width (y) is ...
y = (T -T/2)/2 = T/4
Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.
