You can make an cb chart. so to equal -6 you need the numbers -7, 1. so now the equation is ( x - 7 )( x + 1 ). if you want to solve it set it equal to 0 and solve.
Answer:
x > -22/7
Step-by-step explanation:
Given inequality:
- 7x - 15 < 6
<em>adding 15 to both sides:</em>
==> -7x - 15 + 15 < 6 + 16
==> -7x < 22
<em>dividing</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>7</em><em>:</em>
==> -x < 22/ 7
<em>multiplying</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>-</em><em>1</em>
<em>(</em><em>anytime</em><em> </em><em>you</em><em> </em><em>multiply</em><em> </em><em>the</em><em> </em><em>inequality</em><em> </em><em>by</em><em> </em><em>-</em><em>1</em><em> </em><em>you</em><em> </em><em>must</em><em> </em><em>flip</em><em> </em><em>th</em><em>e inequality sign–</em><em> </em><em>r</em><em>e</em><em>p</em><em>l</em><em>a</em><em>c</em><em>e</em><em> </em><em>the</em><em> </em><em>"</em><em><</em><em>"</em><em> </em><em>with</em><em> </em><em>"</em><em>></em><em>"</em><em>)</em>
==> <u>x > -22/7</u>
Answer:
x=-3
Step-by-step explanation:
Since f(x) also means y, we are looking for a point where y=3
When x=-3, we see that y reaches 3
Therefore, the answer is x=-3
Answer:
d. 15
Step-by-step explanation:
Putting the values in the shift 2 function
X1 + X2 ≥ 15
where x1= 13, and x2=2
13+12≥ 15
15≥ 15
At least 15 workers must be assigned to the shift 2.
The LP model questions require that the constraints are satisfied.
The constraint for the shift 2 is that the number of workers must be equal or greater than 15
This can be solved using other constraint functions e.g
Putting X4= 0 in
X1 + X4 ≥ 12
gives
X1 ≥ 12
Now Putting the value X1 ≥ 12 in shift 2 constraint
X1 + X2 ≥ 15
12+ 2≥ 15
14 ≥ 15
this does not satisfy the condition so this is wrong.
Now from
X2 + X3 ≥ 16
Putting X3= 14
X2 + 14 ≥ 16
gives
X2 ≥ 2
Putting these in the shift 2
X1 + X2 ≥ 15
13+2 ≥ 15
15 ≥ 15
Which gives the same result as above.
