20 because 70+10=80 add 10 more it's 90 genius.
First you'd work around the parenthesis, getting you a reduced problem of -2x-6-5.
combine like terms to receive -2x-11
now treat the f(x) as Y and you'll get y=-2x-11; toss it onto a graph and plot the individual points (your answer options)
all points except for A do not touch the line, resulting in your answer to be letter A!
hope this helps :)
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 = 50
Step-by-step explanation:
Since this is a right triangle we can use special triangles
The angle next to the x is 60 degrees since it is a 30 60 90 triangle
The side opposite the 30 degree angle is the shorter side
The hypotenuse - 2 * shorter leg
100 = 2 * x
x = 50
Answer:
Since he can't work a fraction of a day, he'll have to work at least 6 days to have enough money for the tank. The inequality hat represents his situation is 23*x + 20 >=140.
Step-by-step explanation:
In order to create an inequality to this problem we first need to take the initial amount he has and sum it with the days he has to work "x" multiplied by the amount he earns each day. We then have:
saleem money = 20 + 23*x
Since he wants to buy a $140 fish tank he needs to work until his money is greater or equal than this amount. So we have:
23*x + 20 >= 140
23*x >= 140 -20
23*x >= 120
x >= 120/23
x >= 5.22
Since he can't work a fraction of a day, he'll have to work at least 6 days to have enough money for the tank. The inequality hat represents his situation is 23*x + 20 >=140.
