You can solve <span>9/x-4/y=8 for x or for y but NOT at the same time.
Solving for x: </span><span>9/x-4/y=8 Mult all 3 terms by xy to eliminate the fractions.
9(xy)/x - 4xy/y = 8xy => 9y - 4x = 8xy, or 9y = 4x + 8xy = 4x(1+2y)
then 9y = x [ 4(1+2y) ]
9y
therefore x = ------------
4(1+2y)
Solve for y using a similar approach.
</span>
Both are related because u can multiply the answer to find a devision problem and you can divide a answer to find ur multiplication problem and find ur answer hope this helps
Answer:
a) 12
b) 13
Step-by-step explanation:
f(x) = x^2 + 3
g(x) = 2x - 1
a) f(g(2)) = ?
g(2) = 2(2) - 1
= 4 - 1
= 3
f(g(2)) = f(3) = 3^2 + 3
= 9 + 3
= 12
b) g(f(2)) = ?
f(2) = 2^2 + 3
= 4 + 3
= 7
g(f(2)) = g(7) = 2(7) - 1
= 14 - 1
= 13
Its 500
because anything that is getting multiplied by one is the same number.
Answer:
a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle
Step-by-step explanation:
Let l = the original length of the original rectangle
Let w = the original width of the original rectangle
From the description of the problem, we can construct the following two equations
l=2*w (Equation #1)
(l+4)*(w+4)=l*w+88 (Equation #2)
Substitute equation #1 into equation #2
(2w+4)*(w+4)=(2w*w)+88
2w^2+4w+8w+16=2w^2+88
collect like terms on the same side of the equation
2w^2+2w^2 +12w+16-88=0
4w^2+12w-72=0
Since 4 is afactor of each term, divide both sides of the equation by 4
w^2+3w-18=0
The quadratic equation can be factored into (w+6)*(w-3)=0
Therefore w=-6 or w=3
w=-6 can be rejected because the length of a rectangle can't be negative so
w=3 and from equation #1 l=2*w=2*3=6
I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.
