1)
2x^2 - 13x - 24 = 0;
the discriminant is : ( - 13 )^2 - 4 * 2 * ( -24 ) = 169 + 192 = 361 = 19^2 => we have two different rational-number solutions ;
2)
[ -2( x + 2 ) - 3( x - 5 ) ] / [ ( x - 5 )( x + 2 ) ] < 0 <=>
( -5x + 11 ) / [ ( x - 5 )( x + 2 ) ] < 0
We have 2 situations :
a) - 5x + 11 < 0 and ( x - 5 )( x + 2 ) > 0 => x∈ ( 11 / 5 , + oo ) and x∈( -oo, - 2 )U
( 5 , + oo ) => x∈( 5, +oo);
b) - 5x + 11 > 0 and ( x - 5 )( x + 2 ) < 0 => x∈(-oo, 11/5) and x∈( -2, 5 ) =>
x∈( -2, 11/5 );
Finally, x∈ U (-2, 11 / 5 ) U ( 5, +oo).
Answer:
x = -9
Step-by-step explanation:
We are solving for x
Subtract 2 from both sides and you get:
4x - 9 = 5x
Then subtract 4x from both sides:
-9 = x
Answer:
Step-by-step explanation:
5+n+4+7+n+8=360
24+2n=360
2n=360-24
2n=336
n=168
Answer:
65 % chance or 13/20
Step-by-step explanation:
there are 6 green 7 red add them u get 13 then to find percent multiply 13 times 5 because that's how many times twenty goes into 100
Answer:
r = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 
m = 
with (x₁, y₁ ) = (- 9, - 3) and (x₂, y₂ ) = (- 2, r)
m = 
, that is
= ( cross- multiply )
7(r + 3) = 7 ( divide both sides by 7 )
r + 3 = 1 ( subtract 3 from both sides )
r = - 2
