Your friend is trying to see if you can guess the two numbers she secretly has written on her paper. your friend tells you that 2 times the first number is 13 more than the second number. she also tells you that the sum of the two numbers is 62. can you guess your friends number?

25, 37

Step-by-step explanation:

Let "a" and "b" be natural numbers.

Your friend tells you that 2 times the first number is 13 more than the second number.

2a = b + 13 [1]

She also tells you that the sum of the two numbers is 62.

a + b = 62

b = 62 - a [2]

We can replace [2] in [1],

2a = (62 - a) + 13

3a = 75

a = 25

From [2]

b = 62 - a = 62 - 25 = 37

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier