Answer:
x > -17/2
Step-by-step explanation:
Step 1: Write inequality
-2x - 5 < 12
Step 2: Solve for <em>x</em>
<u>Add 5 to both sides:</u> -2x < 17
<u>Divide both sides by -2:</u> x > -17/2
Here, we can see that any number greater than -17/2 would work, so x could equal 01234718905731857013570 if we wanted it to, as long as it is greater than -8.5.
Answer:
<em>f(g(2))=7</em>
Step-by-step explanation:
<u>The Composite Function</u>
Given f(x) and g(x) as real functions, the composite function
is defined as:

It can be found by substituting g into f.
The given functions are:


It's required to find f( g( 2 ) )
Find g(2):

Operating:

g(2)=1
Now find f(1):


Thus:
f( g( 2 ) )=7
It would take james 9 hours to paint the room alone
Answer:

Step-by-step explanation:
Use BODMAS rule :
Bracket , Of , Division , Multiplication , Addition , Subtraction
![\sf{2 \times [ 34 - 5 \times (3 + 1) ] }](https://tex.z-dn.net/?f=%20%5Csf%7B2%20%5Ctimes%20%5B%2034%20-%205%20%5Ctimes%20%283%20%2B%201%29%20%5D%20%7D)
Add the numbers : 3 and 1
![\dashrightarrow{ \sf{2 \times [ 34 - 5 \times 4 ] }}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B2%20%5Ctimes%20%5B%2034%20-%205%20%5Ctimes%204%20%5D%20%7D%7D)
Multiply the numbers : 5 and 4
![\dashrightarrow{ \sf{2 \times [ 34 - 20 \: ] }}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B2%20%5Ctimes%20%5B%2034%20%20-%2020%20%5C%3A%20%5D%20%20%7D%7D)
Subtract 20 from 34

Multiply the numbers : 2 and 14

Hope I helped!
Best regards! :D
Answer:
160 cm
Step-by-step explanation:
a square has 4 equal sides. if one of the sides is 40 cm, then all of the other sides are 40 cm as well. to get a perimeter, you add up the lengths of all the sides. if there are 4 sides of 40 cm, you multiply 40 by 4 to get 160, finally add the unit to get 160 cm.