Answer/explanation
4(3x+5)=-4
You will distribute the four to every term in the parenthesis,
12x+20=-4
Then you will combine like terms
12x+20=-4
-20 -20
12x=-24
Then you will divide 12 to isolate x

Obviously, -24 cancels out and you would get x=-2
Given:
The function is:

To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,

Step 1: Substitute
.

Step 2: Interchange x and y.

Step 3: Isolate variable y.


Step 4: Substitute
.

Therefore, the inverse of the given function is
and the graphs of these functions are shown below.
In a sequence of events, the
total possible number of ways all events can performed is the product of the
possible number of ways each individual event can be performed. Since there
are 10 openings
<span>P = 40 x 39 x 38 x 37 x 36 x 35
x 34 x 33 x 32 x 31 = 3.07599 x 10^15 different combinations</span>
Answer:
10/25
10+9+6 equals 25 and there is 10 red marbles. I think this is the answer don't take my word for it.
Answer:
a) 90.1
b) $35.6
c) 3.0915 hours
Step-by-step explanation:
The z-score measures how many standard deviations a score X is above or below the mean.
It is given by the following formula:

In which
is the mean and
is the standard deviaition.
In all three cases, we have to find X
a. Final exam scores: Allison’s z-score = 2.30, μ = 74, σ = 7.




b. Weekly grocery bill: James’ z-score = –1.45, μ = $53, σ = $12.




Mean and standard deviation in dollars, so the answer also in dollars.
c. Daily video game play time: Eric’s z-score = –0.79, μ = 4.00 hours, σ = 1.15 hours.




Mean and standard deviation in hours, answer in hours.