Answer:
3 1/3 feets
Step-by-step explanation:
Given that:
Height of aquarium = 1 3/4 feets
Area of aquarium = 5 5/6 ft²
The length of aquarium = x
Aquarium is shaped in the form of a rectangle :
Area of a rectangle = Length * width
5 5/6 = x * 1 3/4
35/6 = 7x/4
Cross multiply :
7x * 6 = 35 * 4
42x = 140
x = 140 / 42
x = 3 14/42
x = 3 1/3 feets
Hence, Length of the back of aquarium is 3 1/3 feets
Repeating decimal is a decimal that repeats once divided...
And, a terminating decimal is a decimal that ends that is it has finite numbers
Answer:
Check pdf
Step-by-step explanation:
Answer:
The minimum value of f(x) is -21 and it occurs at x = 1
Step-by-step explanation:
f(x) =3x^2-6x-18
Factor out the greatest common factor out of the first two terms
f(x) =3(x^2-2x)-18
Complete the square
-2x/2 =-1 (-1)^2 = 1
Add 1 (But remember the 3 out front so we are really adding 3 so we need to subtract 3 to remain balanced)
f(x) = 3(x^2 -2x+1) -3 -18
f(x) = 3(x-1)^2 -21
This is vertex form
f(x) = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
The vertex is (1,-21)
Since a > 0 this opens upward and the vertex is a minimum
The minimum value of f(x) is -21 and it occurs at x = 1
Answer:
according to google there are 30 inches in a full step
Step-by-step explanation:
