$18.11 because 20.75/x=100/15
<span>(120.75/x)*x=(100/15)*x - </span>we multiply both sides of the equation by x
<span>120.75=6.6666666666667*x - </span>we divide both sides of the equation by (6.6666666666667) to get x
<span>120.75/6.6666666666667=x </span>
<span>18.1125=x </span>
<span>x=18.1125</span>
Answer:
see explanation
Step-by-step explanation:
The n th term of a geometric progression is
• 
= a₁ 
where a₁ is the first term and r the common ratio
given a₄ = 24, then
a₁
= 24 → (1)
Given a₈ = 
, then
a₁
= → (2)
Divide (2) by (1)
= 
= 
Hence r = ![\sqrt[4]{\frac{1}{81} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B1%7D%7B81%7D%20%7D)
= 
Substitute this value into (1)
a₁ × ( )³ = 24
a₁ × 
= 24, hence
a₁ = 24 × 27 = 648
F(x)=(-2/((x+y-2)^(1/2))-(x+y+2)^(1/2)
the only irrational part of this expression is the (x+y-2)^(1/2) in the denominator, so, to rationalize this, you multiply the numerator and denominator by the denominator, as well as the other parts of the expression
also, you must multiply the -sqrt(x+y+2) by sqrt(x+y-2)/sqrt(x+y-2) to form a common denominator
(-2)/(x+y-2)^(1/2)-(x+y+2)^(1/2)(x+y-2)^(1/2)/(x+y-2)^(1/2)
(common denominator)
(-2-(x^2+xy+2x+xy+y^2+2y-2x-2y-4))/(x+y-2)^(1/2)
(FOIL)
(-2-x^2-y^2-2xy+4)/(x+y-2)^(1/2)
(Distribute negative)
(-x^2-y^2-2xy+2)/(x+y-2)^(1/2)
(Simplify numerator)
(-x^2-y^2-2xy+2)(x+y-2)^(1/2)/(x+y-2)^(1/2)(x+y-2)^(1/2)
(Rationalize denominator by multiplying both top and bottom by sqrt)
(-x^2-y^2-2xy+2)((x+y-2)^(1/2))/(x+y-2)
(The function is now rational)
=(-x^2-y^2-2xy+2)(sqrt(x+y-2))/(x+y-2)
answer right 2, up 3
any function with the following form is a transformation from f(x) = x²
g(x) = (x – a)² + b
were a moves the function to the right when a is a positive number and to the left when its a negative number, and b moves the function up when b is positive and down when its negative.
then for a=2 positive and b=3 positive, we have
right 2, up 3
-x(3+4)
If you distribute it to all the numbers the simplest form would be -3x-4x
