We have the following functions:
f (x) = 1 / (x-5)
g (x) = 7 / x
Multiplying the functions we have:
f · g = (1 / (x-5)) * (7 / x)
Rewriting:
f · g = (7 / x (x-5))
f · g = (7 / (x ^ 2-5x))
The domain of the function is:
All reals less:
x = 0
x = 5
Answer:
f · g = (7 / (x ^ 2-5x))
The domain of the function is:
All reals less:
x = 0
x = 5
Answer:
v = -8i - 6j
Step-by-step explanation:
The starting point is (9, 9)
The direction of the vector is the direction of the arrowhead.
The i is the horizontal component.
The j is the vertical component.
Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).
Therefore, v = -8i - 6j
Answer:
A. {u1,u2,u3,u4} is a linearly independent set of vectors unless one of {u1,u2,u3} is the zero vector.
Step-by-step explanation:
Given that u4 is not a linear combination of {u1,u2,u3}
This means there is no possibility to write u4 = au1+bu2+cu3 for three scalars a,b,and c.
This gives that 
This implies that these four vectors are not linearly dependent but linearly independent.
Hence option a is right.
A. {u1,u2,u3,u4} is a linearly independent set of vectors unless one of {u1,u2,u3} is the zero vector.
Answer:
792.9 in²
Step-by-step Explanation:
Given:
Area of the base of the regular hexagonal prism box (B) = 85.3 in²
Each side length of hexagonal base (s) = 5.73 in
Height of prism box (h) = 18.10 in
Required:
Surface area of the wood used in making the hexagonal prism box
SOLUTION:
Surface area for any given regular prism can be calculated using the following formula: (Perimeter of Base × height of prism) + 2(Base Area)
Perimeter of the hexagonal base of the prism box = 6(5.73) (Note: hexagon has 6 sides.)
Perimeter of base = 34.38 in
Height = 18.10 in
Base area is already given as 85.3 in²
Surface area of the hexagonal prism box 

<em>Surface area of the wood used in making the jewelry box ≈ 792.9 in²</em>
We have to find what consecutive integers does the square root of 115 lie.
100 < 115 < 121
10² < 115 < 11²
√115 ≈ 10.7238
Answer:
The square root of 115 lies between <span>C ) 10 and 1</span>1