Hey there!
Functions are basically like machines you put a number into and they give you a new one as an output. This f represents this machine. f(x) represents whatever the output is because it is the x after it has gone through the function machine.
We want to figure out what x is when f(x)=12. Well, we can simply replace f(x) with 12 in the first equation and solve for x!
12=-16x+8
We flip the equation so x is on the left side.
-16x+8=12
We subtract 8 from both sides.
-16x=4
We divide both sides by -16.
x=-1/4
Have a wonderful day! :D
Step-by-step explanation:
since the 2 lives are parallel, this makes the 2 triangles (above l and the larger one above m) similar.
and that means their angles are the same.
and that means that the third angle in the small triangle above l is also y°.
and now, remember, the sum of all angles in a triangle is always 180°.
so,
180 = x + y + z = x + 20 + 60
x = 180 - 20 - 60 = 100°
so, B is correct.
Answer:
0.505 = 50.7% probability of a negative test.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
142 + 6 = 148 people tested positive. Of those, 142 had the disease and 6 did not.
7 + 145 = 152 people tested negative. Of those, 7 had the disease and 145 did not.
Find the probability of getting someone who tests negative, given that he or she did not have the disease.
This is the probability of a negative test.
152 negative tests out of 148 + 152 = 300
152/300 = 0.507
0.505 = 50.7% probability of a negative test.
9514 1404 393
Answer:
x ≈ 106.0
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
Applied to this problem, we have ...
sin(17°) = 31/x
Solving for x gives ...
x = 31/sin(17°)
x ≈ 106.0
Answer:The answer is t=-12
Step-by-step explanation: First you have to simplify so the 4 is now positive. 2(t+18)+4, Subtract 4 from both sides.
2(t+18)=16−4
=12, 2(t+18)=12, now you have to divide both sides by 2. 2t/2=t and 12/2=6. t+18=6 now just subtract 18 from both sides. 18-18=0, 6-18=-12. So the answer is t=-12.
