The reciprocal of a given fraction is obtained by flipping the elements of the fraction. This means that the current numerator becomes the denominator of the reciprocal and the current denominator becomes the new numerator. Thus, for the given fraction, the reciprocal is 9/7.
Answer:
(x,y) --> (-1, -3)
Step-by-step explanation:
Solve by elimination...
2x - 3y = 7
4x + y = -7 (times 3; so -3y and 3y cancel out)
2x - 3y = 7
12x + 3y = -21
2x = 7
12x = -21
add together...
14x = -14
x = -1
plug x into one of the original equations and solve for y...
-2 - 3y =7
-3y = 9
y = -3
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The area of the rectangular pen is 
The cost of material used to make one side is 
The cost of material used to make the other sides is 
Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard
So the cost is mathematically represented as

=> 
=> 
Now the area of the fence is mathematically represented as

=> 
=> ![C = 9x + 6[\frac{24}{x} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209x%20%20%2B%20%206%5B%5Cfrac%7B24%7D%7Bx%7D%20%5D)
=> ![C = 9x + [\frac{144}{x} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209x%20%20%2B%20%20%5B%5Cfrac%7B144%7D%7Bx%7D%20%5D)
Now differentiating


At minimum 
So




Now substituting for x in the equation above to obtain minimum cost
![C = 9(5.66) + [\frac{144}{5.66} ]](https://tex.z-dn.net/?f=C%20%3D%20%20%209%285.66%29%20%20%2B%20%20%5B%5Cfrac%7B144%7D%7B5.66%7D%20%5D)

Answer:
The y intercept is 0 and 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
10x+10y=-10
9x+10y=18
= 10x+10y=-10
-9x-10y=18
= x=8
step two is to find y:
10x+10y=-10
10(8)+10y=-10
80+10y=-10
10y=-90
y=-9
your answer:
(x,y)= (8,-9)