Answer:the length of the rectangle is 36 feet
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The length of a rectangle is equal to three times its width. This means that
L = 3W
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
If the perimeter is equal to 96
feet, it means that
2(L + W) = 96
L + W = 96/2 = 48
Substituting L = 3W into L + W = 48, it becomes
3W + W = 48,
4W = 48
W = 48/4 = 12
L = 3W = 3 × 12 = 36
Answer with Step-by-step explanation:
We are given that a function f(x) is continuous on ().
1.f'(-1)=0 and f''(-1)=-7
We have to find information about f.
When f'(-1)=0 and f''(-1)=-7 < 0
Then, function is maximum at x=-1.
Therefore, at x=-1, f has local maximum.
Answer:a)at x=-1 ,f has local maximum.
2.) if f'(4)=0 and f''(4)=0
We know that when f''(x)=0 then test fails then the function has not maximum or minimum.
Therefore, at x=4 , f has not a maximum or minimum.
Answer:c) at x=4, f has not a maximum or minimum.
ANSWER
A.
It satisfies the top equation but not the bottom equation.
EXPLANATION
The given equations are;
2x-3y=18
5x+3y=3
When we substitute x=6 and y=-2 into the top equation we get,
2(6)-3(-2)=18
12+6=18
18=18
This is true. Hence the point satisfy the top equation.
But when we substitute x=6 and y=-2 into the bottom equation we get,
5(6)+3(-2)=3
30-6=3
24=3
Hence the bottom equation is not satisfied.
The first choice is correct.
Answer:
19
Step-by-step explanation:
Number of crackers that can be fit into the box = volume of the box / volume of crackers
Volume = length x width x height
volume of the box = 8 cm x 2.4 cm x 60 cm = 1152 cm^3
Volume of the crackers = 3cm x 4 cm x 5cm = 60cm^3
1152/60 = 19.2
Rounding 19.2 to the nearest whole number gives 19