Part (a)
Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.
Since f(-1) = 4, this means we can then say
g( f(-1) ) = g( 4 ) = 4
To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.
<h3>
Answer: 4</h3>
==========================================================
Part (b)
We use the same idea as part (a)
f(-2) = 5
g( f(-2) ) = g(5) = 6
<h3>
Answer: 6</h3>
==========================================================
Part (c)
Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.
g(1) = -2
f( g(1) ) = f(-2) = 5
<h3>
Answer: 5</h3>
==========================================================
Part (d)
Same idea as part (c)
g(2) = 0
f( g(2) ) = f( 0 ) = 3
<h3>
Answer: 3</h3>
Answer:
John gets 24 dollars
Step-by-step explanation:
Divide 40 into 5 because 2+3 equals 5.
Each "section" equals 8. Now, multiply that by 3(John's section)
You get 24.
The probability is a ratio of the possible events to the total events. The total is 52 cards, so the denominator is 52. The individual properties of the specific cards are the following:
Any face or number cards is 4/52, because there are 4 cards for each symbol. On the other hand, each symbol like heart, diamond, club or spade would each have a probability of 13/52 (counting numbers 2 to 10, Ace card, and the 3 face cards). Also, there are 26 each of red and black cards. Furthermore, the words 'or' and 'and' are hint words. When you see 'or', you have to add their individual probabilities. If you see the word 'and', you'll have to multiply them. With that said, the solution is as follows:
a.) P = 4/52 + 4/52 + 4/52 = 3/13
b.) P = (13/52 + 13/52 + 4/52)(26/52) = 15/52
c.) P = 13/52
d.) P = 13/52 + 13/52 + 13/52 = 3/4
35 because you add 3 and 6 and that gives you 35x
The value of
is 31
Explanation:
The given expression is 
We need to determine the value of 
The value of
can be determined by substituting
in the expression 
Thus, we have,

Adding the terms, we have,

Thus, the value is 31.
Therefore, the simplified value of the expression by substituting
in the expression
is 31.