1) Which expression is equivalent to 4(23)?
4(20+3)

4(2+3)

4(2+13)

4(20+30)

2. Which expressions are equivalent to 4(42)?
Select each correct answer.
4(20+22)

4(40+2)

4(4+20)

4(4+2)

3.Which expression shows how 6⋅45 can be rewritten using the distributive property?
6⋅40+6

20⋅6+20⋅5

6⋅40+6⋅5

6⋅4+6⋅5

4.Tori uses the greatest common factor and the distributive property to rewrite this sum:
24 + 84
What expression does Tori write?
2(24+42)

12(2+7)

24(1+4)

4(6+21)

my last one got deleted

Step-by-step explanation:

1)4(20+3)

2)4(20+22)

3)6.40+6.5

4)12(2+7)

answer: the dogs need to shift their focus to human scent.

its because the dogs being trained are for search and rescue thus they need to be able to track humans and their specific scent

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!