13x-8≤-32
add 8 to both sides to get 13x≤-24
divide by 13 to get x ≤ -24/13
Answer:
Randomly select 50 tickets from each zone and invite those guests to participate in the survey.
Step-by-step explanation:
I hope this helped
We know that Quinton struck out 12 batters, 5 batters, and 8 batters. Key word: in all. In all means addition. So, 12 + 5= 17, and 17 + 8= 25. 25 batters.
y = x² is the parent function.
This is a parabola, with minimum turning point at (0, 0 ) and axis of symmetry the y- axis
y = x² - 5
is the graph of x² translated 5 units vertically down ( indicated by - 5 )
with minimum turning point at (0, - 5 )
Answer:
The number is: "
12 ".
____________________________________ Let "x" represent "the unknown number" (for which we wish to solve.
The expression:

x <span>− 6 = 2 ; Solve for "x" ;
</span>
_______________________________________________Method 1) Add "6" to EACH SIDE of the equation;
_______________________________________________ →

x − 6 + 6 = 2 + 6 ;
to get:
→

x = 8 ;
______________________________________________Multiply each side of the equation by "

" ; to isolate "x" on one side of the equation ; and to solve for "x" ;
______________________________________________ →
*

x = 8 *

;
→ x = 8 *

;
=

*

;
=

;
=

;
= <span>
1<span>
2 .</span></span>
______________________________________________ x = 12 .
______________________________________________Method 2)______________________________________________
x − 6 = 2 ; Solve for "x" ;
Add "6" to EACH SIDE of the equation;
_______________________________________________ →

x − 6 + 6 = 2 + 6 ;
to get:
→

x = 8 ;
______________________________________________Multiply each side of the equation by "3" ; to get rid of the "fraction" ;
→ 3 *

x = 8 * 3 ;
→

*

x = 8 * 3 ;
→

x = 8 * 3
→

x = 24 ;
→ 2x = 24 ;
→ Divide each side of the equation by "2" ; to isolate "x" on one side of the equation; & to solve for "x" :
2x / 2 = 24 / 2 ;
x = 12 .
__________________________________________________Method 3).__________________________________________________
x − 6 = 2 ; Solve for "x" ;
_______________________________________________Add "6" to EACH SIDE of the equation;
_______________________________________________ →

x − 6 + 6 = 2 + 6 ;
to get:
→

x = 8 ;
______________________________________________Now, divide each side of the equation by "

" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
___________________________________________________{

x } / {

} = 8 / {

} ;
to get: x = 8 / {

} ;
= 8 * (

;
=

*

;
=

;
=

;
=
12 ;
___________________________________________ x = 12 .
___________________________________________NOTE: Variant: (in "Methods 2 & 3") :
___________________________________________At the point where:
___________________________________________ = 8 * (

) ;
=

*

;
__________________________________________ We can cancel out the "2" to a "1" ; and we can cancel out the "8" to a "4" ;
__________________________________________ {since: "8÷2 = 4" ; and since: "2÷2 =1" } ;
__________________________________________and we can rewrite the expression:
__________________________________________ 
*

;
__________________________________________as:

*

;
__________________________________________which equals:
__________________________________________→

;
=

;
=
12 .
__________________________________________ x = 12 .
__________________________________________Answer:
The number is: "
12 ".
__________________________________________