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:
Step-by-step explanation:
22 + t < 40
t < 18
The answer to this question is C
Because you are supposed to do division first following PEMDAS so 12÷2=6 then you would do 2+6=8 SO THE ANSWER IS C
Answer:
The Indus River Valley
Step-by-step explanation:
The Persian Empire spanned from Egypt in the west to Turkey in the north, and through Mesopotamia to the Indus River in the east.
If this helped, please give it brainliest!
(5-12)^2+8/(-2)
(-7)^2+8/(-2)
(49)+8/(-2)
(49)+(-4)
45
Using PEMDAS, your answer would be 45.
