Answer:
84=2l+2w
w=21
Step-by-step explanation:
84=2(l+w)
42=l+w
l=42-w
Area=l×w
A=(42-w)×w
Differentiate A=42w-w×w
with respective to "w".
dA/dw= 42-2w
For a minimum or maximum area
dA/dw=0
then, 42-2w=0
w=21
proving "A" is maximum when "w=21"
dA/dw>0 when w<21
dA/dw<0 when w>21
Therefore Area is maximum when "w=21"
9514 1404 393
Answer:
y = 1 · 5^x
Step-by-step explanation:
Use the given values in the given formula and solve for 'a' and 'b'.
y = a·b^x
5 = a·b^1 . . . . . . for (x, y) = (1, 5)
125 = a·b^3 . . . . for (x, y) = (3, 125)
Divide the second equation by the first:
125/5 = (a·b^3)/(a·b^1)
25 = b^2 . . . simplify
5 = b . . . . . . . take the square root
Substituting into the first equation, we can find 'a':
5 = a·5
1 = a . . . . . . . divide by 5
Written in the given form, the equation is ...
y = 1 · 5^x
X+x+x+2+x+2=120
4x+4=120
4x=116
x=29
rectangle is 29 by 31
the better deal is 128.31 for 13 pounds making it 9.87 per pound
Answer:
$5 for a dog treat
$3 for a cat treat
Step-by-step explanation:
week 1: 6d + 4c = 42
week 2: 2d + 7c = 31
*used calculator & guessed what each treat costs*
WEEK 1:
6(5) + 4(3) = 42
30 + 12 = 42
42 = 42
WEEK 2:
2(5) + 7(3) = 31
10 + 21 = 31
31 = 31
