Answer:
- 4 1/2 + 3 1/4
-9/2 + 13/4
the lcm is 4
-18/4 + 13/4
=-5/4
= -1 1/4
Step-by-step explanation:
Answer:
missing value b is 14
Step-by-step explanation:
We have been given the modulus of a complex number which is
Here on comparing the given complex number with general a+bi we get:
a=48 and b=b
On substituting the values in the formula for modulus we get:
Therefore, missing value b is 14
Answer: 2/25
Step-by-step explanation: Since we are replacing the marbles, these two events are independent which means that the outcome of the first does not affect the outcome of the second.
First find the probability of selecting a blue marble.
There are 2 favorable outcomes, the blue marbles,
and 10 possible outcomes, all the marbles in the bag.
So the probability of selecting a blue marble is 2/10 or 1/5.
<em>Always reduce when finding probability</em>
<em></em>
Now we find the probability of selecting a green marble.
There are 4 green marbles and 10 total so the probability of
selecting a green marble is 4/10 or 2/5.
Now we multiply the probabilities.
So we have 1/5 x 2/5 or 2/25.
Answer:
x = 2
Step-by-step explanation:
Simplify both sides of the equation.
−20 = − 4x − 6x
−20 = −4x − 6x
−20 = (−4x − 6x)(Combine Like Terms)
−20 = −10x
Flip the equation.
−10x = −20
Divide both sides by -10.
-10x/-10 = -20/-10
x = 2
The inverse function is equal to f-1(x) = (x - 1)/3 and the value at f-1(6) is equal to 5/3.
To find the inverse, you need to switch the f(x) and x in the equation. Then you can solve for the new f(x). The result will be the inverse (f-1)
f(x) = 3x + 1 ----> Switch f(x) and x
x = 3f(x) + 1 ----> Subtract 1
x - 1 = 3f(x) ----> Divide by 3.
f-1(x) = (x - 1)/3
Now that we have the inverse, we can plug 6 in to get the value at f-1(6).
f-1(x) = (x - 1)/3
f-1(6) = (6 - 1)/3
f-1(6) = 5/3
