Answer:
<u>$911.25</u>
Step-by-step explanation:
We know:
1 yd = 3 feet
So, 1 cubic yards should be *THREE* times the power of what the initial scale factor is, 3 cubed. That would make it:
1 yd = 3 feet
1^3 yd = 3^3 feet
1 cu. yd. = 27 cu. ft.
That means, the price of 1 cubic feet of sand is 27 times of the price of 1 cubic yd price
33.75 * 27 = <u>$911.25</u>
Answer with Step-by-step explanation:
Since we have given that
a. f: ℝ → ℝ given by f(x) = x + 2
Domain would be all real numbers i.e. (-∞, ∞)
Range would be all real numbers i.e. (-∞, ∞)
b. g: ℝ → ℝ given by g(x) = √x − 1
Domain would be all positive numbers i.e. [0,∞)
Range would be [-1,∞)
c. f(g(x))

Domain would be [0,∞)
Range would be [3,∞)
d. g(f(x))

Domain would be [-2,∞)
Range would be (0,∞)
Answer:
-12/14 or simplified would be -6/7
Step-by-step explanation:
-6-6/-5-9= -12/-14
Answer:
- x = 4
- length = 19 ft
- width = 11 ft
Step-by-step explanation:
The area is given by the product of length and width.
A = LW
209 = (4x +3)(4x -5)
209 = 16x^2 -8x -15
224 = 16x^2 -8x
You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".
14 = x^2 -(1/2)x
14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient
(x -0.25)^2 = 14.0625
x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25
Only positive values of x are useful here, so we have
x = 4
Then the dimensions are ...
length = 4x +3 = 4(4) +3 = 19 . . . feet
width = 4x -5 = 16 -5 = 11 . . . feet
Answer:
sqrt. 65
Step-by-step explanation:
assuming that it is a right angle
7^2 + 4^2 = c^2
c=sqrt. 65