we have
we know that
The absolute value has two solutions
Subtract
both sides
Step 1
Find the first solution (Case positive)
![-[+(x-12)]=-0.75](https://tex.z-dn.net/?f=-%5B%2B%28x-12%29%5D%3D-0.75)
![-x+12=-0.75](https://tex.z-dn.net/?f=-x%2B12%3D-0.75)
Subtract
both sides
![-x+12-12=-0.75-12](https://tex.z-dn.net/?f=-x%2B12-12%3D-0.75-12)
![-x=-12.75](https://tex.z-dn.net/?f=-x%3D-12.75)
Multiply by
both sides
![x=12.75](https://tex.z-dn.net/?f=x%3D12.75)
Step 2
Find the second solution (Case negative)
![-[-(x-12)]=-0.75](https://tex.z-dn.net/?f=-%5B-%28x-12%29%5D%3D-0.75)
![x-12=-0.75](https://tex.z-dn.net/?f=x-12%3D-0.75)
Adds
both sides
![x=-0.75+12](https://tex.z-dn.net/?f=x%3D-0.75%2B12)
![x=11.25](https://tex.z-dn.net/?f=x%3D11.25)
<u>Statements</u>
<u>case A)</u> The equation will have no solutions
The statement is False
Because the equation has two solutions------> See the procedure
<u>case B)</u> A good first step for solving the equation is to subtract 0.5 from both sides of the equation
The statement is True -----> See the procedure
<u>case C)</u> A good first step for solving the equation is to split it into a positive case and a negative case
The statement is False -----> See the procedure
case D) The positive case of this equation is 0.5 – |x – 12| = 0.25
The statement is False
Because the positive case is
-----> see the procedure
case E) The negative case of this equation is x – 12 = –0.75
The statement is True -----> see the procedure
<u>case F)</u> The equation will have only 1 solution
The statement is False
Because The equation has two solutions------> See the procedure
Answer:
$122.28
Step-by-step explanation:
Give the following :
Insurance worth = $240,000
Price sold = $225
P(survival) = 0.999572
P(death) = 1 - 0.999572 = 0.000428
If she survives, insurance firm makes $225
If she dies, insurance firm pays $240,000, hence the company losses :
$(225 - 240,000) = $−239775
Expected value (E(x)) = sum of P(i) * X(i)
E(x) = (P(survival) * profit made) + (P(death) * loss incurred)
E(x) = (225 * 0.999572) + (0.000428 * −239775)
= 224.9037 - 102.6237
=$ 122.28
ummmm I don’t know how to answer this but if you won a contest then good job
Answer:
5.5 + 8.5 = 14
14/2=7
The average is 7
7 x 6.5 = 45.5
Average length x height = area
7 x 6.5 = 45.5
Step-by-step explanation: