we have the expression
3x+2y
Verify for each ordered pair
so
a) (0,6)
substitute
3(0)+2(6)=12
b) (3,2)
3(3)+2(2)=13
c) (4,1)
3(4)+2(1)=14
d) (5,-2)
3(5)+2(-2)=11
therefore
maximum value for option C
Answer:
1
Step-by-step explanation:
If A and B are mutually exclusive and A is certain to happen, then B is certain to never happen, so P(B) = 0. The probability of either of two mutually exclusive events is the sum of their individual probabilities:
P(A or B) = P(A) +P(B) = 1 + 0
P(A or B) = 1
Answer:
14/45
Step-by-step explanation:
So we have the fraction:

We can do this algebraically. Follow to following steps:
Let's let this number equal to n. Thus:

Since there is only 1 digit repeating, let's multiply everything by 10. So:

Now, subtract n from both sides:

On the left, substitute the number for n. On the right, combine like terms:

All of the 1s will cancel. So:

Subtract:

Divide both sides by 9:

Remove the decimal by multiplying both sides by 10:

Reduce:

And we're done!
Use a calculator to check:

Answer:
Step-by-step explanation: