Answer:
Step-by-step explanation:
Ok, so first substitute x for 4 in
"g(x) = 5x + 1", and x for 3 in
"k(x) = 2/x + 2x". Now you got:
g(4) = 5(4) + 1
k(3) = 2/(3) + 2(3)
Now you can solve each individually.
g(4) = 5 × 4 = 20
20 + 1 = 21
g(4) = 21
k(3) = 2 × 3 = 6
6 + 2/3 = 6 2/3
k(3) = 6 2/3
g(4) + k(3) = 21 + 6 2/3 = <u>27 2/3</u>
Hope this helps :)
Answer:
Step-by-step explanation:
First at all, we need to use 
to convert this expression into a fraction, like:
to convert into 
.
Expand the fraction to get the least common denominator, like
Write all numerators above the common denominator, like this:
The bottom one used the same way to became simplest form, like this:
And it became like this:
Now, we are going to simplify this complex fraction. We can use cross- multiply method to simplify this fraction.
3y-2(5) and 5y-1(3)
and it will becomes like this in function form:
Then, we should distribute 5 through the parenthesis
And.... Here we go. That is the answer.
A.
<u>You would leave $30.24 as the tip.</u>
That's a LOT!
B.
<u>The total amount being paid is $178.08.</u>
A total of a $10.08 tax!
C.
<u>You would have spent a total of $208.32.</u>
Yikes!
Hope this helped! If it didn't, please tell me so I can fix it!
The hotel is $250 plus $25 per person so the equation would be
y= 25x + 250
(Y is the total cost and x is the number of people)
the restaurant is $100 plus $40 per person so the equation would be
y = 40x + 100
What we want to know is which x value would make the y values equal to each other. So you can just replace the "y" in one equation with the other equation:
25x + 250 = 40x + 100
and then solve...
1. subtract 100 from both sides
25x + 150 = 40x
2. subtract 25x from both sides
150 = 15 x
3. divide both sides by 15
10 = x
you can check by plugging 10 into the original equations
25(10) + 250
250 + 250 = 500
and
40(10) + 100
400 + 100 = 500
they both cost $500 when you invite 10 people
