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:
"Different representations (written descriptions, tables, graphs, and Linear functions may be used to represent and generalize real situations. Slope and y-intercept are keys to solving real problems involving linear relationships. "
Step-by-step explanation:
(84)5 = 420
(73)9 = 657
420 + 657 = 1077
Answer:
f(x)=24.50x+55
Total cost for 7 hours: $226.5
Step-by-step explanation:
We consider that x is the amount of hours.
24.5*7+55=226.5
171.5+55=226.5
Slope: 3/2.
Y intercept: -3
Equation: Y=3/2x-3
