Using a system of equations, it is found that there are 34 pop songs are on the playlist.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of hip-hop songs.
- Variable y: Number of pop songs.
Brandon has a playlist with 83 hip-hop and pop songs, hence:
x + y = 83.
There are 15 more hip-hop songs than pop songs, hence:
x = 15 + y.
Replacing the second onto the first equation:
x + y = 83.
15 + y + y = 83.
2y = 68.
y = 34.
There are 34 pop songs are on the playlist.
More can be learned about a system of equations at brainly.com/question/24342899
8 + 8 = 16
16 - 1 = 15
or
7 + 7 = 14
14+1 = 15
-7 because when it’s +(-) it’s always the same as the outside sign
-4 same thing explained above
-4
hope this helps
<u>Answer-</u>
<em>The statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.</em>
<u>Solution-</u>
It solely depends on b, whether the function will have one or two or zero x intercept.
This plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e V shape, with vertex translated to (-a, b), instead of origin.
1- If b is zero, the graph will have exactly one x-intercept, at x= -a
2- If b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.
3- If b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.
∴ The statement is sometimes true.