Answer:
x = 4
Step-by-step explanation:
Step 1: Write equation
9x - 8(x - 6) = 52
Step 2: Solve for <em>x</em>
- Distribute -8: 9x - 8x + 48 = 52
- Combine like terms: x + 48 = 52
- Subtract 48 on both sides: x = 4
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
9(4) - 8(4 - 6) = 52
36 - 8(-2) = 52
36 + 16 = 52
52 = 52
Answer:
-10
Step-by-step explanation:
7 + 7(-4) - (2(-4)) + 3
7 - 28 - (-8)+3
7 - 28 +8 +3
= -10
Answer:
C
Step-by-step explanation:
The rule of an 180⁰ degree rotation is:
(x,y) -> (-x,-y)
Of all the rules of rotation, this is the only one that fits.
Answer:
C) S = {F, PF, PPF, PPP}
Step-by-step explanation:
For this case, we know that a person is trying to gain access to a bank vault and needs to go through 3 security doors, and we know that if the person does not pass a door, then he/she has no other attempts. We denote P= Successful pass , F= Failed pass
And we are interested on the sample space, we need to remember that the sample is the set with all the possible values for an experiment.
For this case the person can fail at the 1,2 or 3 try
For the case that fails at the 1 try we have F
For the case that fails at the 2 try we have PF
For the case that fails at the 3 try we have PPF
And the last option is that the person not fails at any try and we have PPP
So then the sample space would be given by:
C) S = {F, PF, PPF, PPP}