Call the number of trumpet players "T" and the number of horn players "H".
We can use the given information to set up equations:
1."<span>the number of trumpet players is 4 times the number of French horn players"
2. "</span><span>There are 35 trumpet and French horn players in the band."
If you were asked to solve you could now do it by substitution:
</span>
Babysitting for 8 hours and making $72.00 because of a better/greater amount of money
Answer:
6
Step-by-step explanation:
3 odd numbers x 2 4-sided shapes = 6
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)
<span>2.5 – 1.2x < 6.5 – 3.2x
-1.2x + 3.2x < 6.5 - 2.5
3.2x - 1.2x < 4
2x < 4
x < 4/2
x < 2</span>
