I:2x – y + z = 7
II:x + 2y – 5z = -1
III:x – y = 6
you can first use III and substitute x or y to eliminate it in I and II (in this case x):
III: x=6+y
-> substitute x in I and II:
I': 2*(6+y)-y+z=7
12+2y-y+z=7
y+z=-5
II':(6+y)+2y-5z=-1
3y+6-5z=-1
3y-5z=-7
then you can subtract II' from 3*I' to eliminate y:
3*I'=3y+3z=-15
3*I'-II':
3y+3z-(3y-5z)=-15-(-7)
8z=-8
z=-1
insert z in II' to calculate y:
3y-5z=-7
3y+5=-7
3y=-12
y=-4
insert y into III to calculate x:
x-(-4)=6
x+4=6
x=2
so the solution is
x=2
y=-4
z=-1
<u>Given Function is</u>
- f ( x ) = 7x - 7 ------- eqn ( 1 )
<u>Now , put the value of x = 8 in eqn ( 1 )</u>
- f ( 8 ) = 7 ( 8 ) - 7
- f ( 8 ) = 56 - 7
- f ( 8 ) = 49 ------- eqn ( 2 )
<u>Now , put the value of x = 4 in eqn ( 1 )</u>
- f ( 4 ) = 7 ( 4 ) - 7
- f ( 4 ) = 28 - 7
- f ( 4 ) = 21 ------- eqn ( 3 )
<h3 />
<u>From eqn ( 2 ) nd eqn ( 3 ) we get,</u>
- f ( 8 ) + f ( 4 )
- 49 + 21
- 70
Hope Helps! :)
Answer:
Step-by-step explanation:
<u><em>Length</em></u>
1 inch = 25 feet
7 1/4 inches = x feet
1 * x = 25 * 7 1/4
x = 25 * 7.25
Length = 181.25 feet
The length is 181.25
<em><u>hypotenuse length</u></em>
The diagonal = 10 1/2 inches
The diagonal = 10.5 inches
hypotenuse = 10.5 * 25 = 262.5 feet
<em><u>Width</u></em>
L^2 + W^2 = Diagonal^2
181.25² + W² = 262.5²
32851.5625 + W² = 68906.25 Subtract 32851.5625 from both sides
W² = 68906.25 - 32851.5625
W^2 = 36054.6875 Take the square root of both sides
W = 189.88
<u><em>Area</em></u>
Area = L * W
Area = 181.25 * 189.88
Area = 34415.88 square feet.
$56.65
55(.03)= 1.65
1.65+55= 56.65