I think the answer is 2.The function is negative for all real values of x where x < –3 and where x > 1.
We can first convert 9.5 into fraction :
9.5= 9 1/2
Then we can use deduction to find out the answer:
9 1/2 - 6 1/3
=19/2 - 19/3
We change it to the same denominator:
=19×3/6 - 19×2/6
= 57/6 - 38/6
= 19/6
Therefore there are 19/6 or 3 1/6 gallons left in the tank.
Hope it helps!
Answer:
X=125/64
Step-by-step explanation:
x^2+4 x-5=0
x^2+4x=5
4x^3=5
x^3=5/4
x=5^3/4^3
x=125/64
Let the side of the garden alone (without walkway) be x.
Then the area of the garden alone is x^2.
The walkway is made up as follows:
1) four rectangles of width 2 feet and length x, and
2) four squares, each of area 2^2 square feet.
The total walkway area is thus x^2 + 4(2^2) + 4(x*2).
We want to find the dimensions of the garden. To do this, we need to find the value of x.
Let's sum up the garden dimensions and the walkway dimensions:
x^2 + 4(2^2) + 4(x*2) = 196 sq ft
x^2 + 16 + 8x = 196 sq ft
x^2 + 8x - 180 = 0
(x-10(x+18) = 0
x=10 or x=-18. We must discard x=-18, since the side length can't be negative. We are left with x = 10 feet.
The garden dimensions are (10 feet)^2, or 100 square feet.
