<h3>
Answer: 41</h3>
Work Shown:
f(x) = 6x^2 - 13
f(x) = 6(x)^2 - 13
f(-3) = 6(-3)^2 - 13 ... replace every x with -3; use PEMDAS to simplify
f(-3) = 6(9) - 13
f(-3) = 54 - 13
f(-3) = 41
The absolute value of an given number is always positive. So, when adding two to any positive number will always be greater than the number by itself.
The equation that can be used to represent the situation given that x is the number of hours spent babysitting is 4(x + 8) = 56
<h3>How to write and solve equation</h3>
- Amount paid per hour for babysitting =$4
- Total amount made = $56
- Hours spent babysitting on Sunday = 8 hours
Total earned babysitting on Sunday = Hours spent babysitting on Sunday × Amount paid per hour
= 8 × 4
= $32
Number of hours he babysat on Saturday = $56 - (8 × 4) ÷ 4
= 56 - 32 ÷ 4
= 24 ÷ 4
= 6 hours
A. 8x+4 = 56
8x = 56 - 4
8x = 52
x = 52/8
x = 6.5
B. 4x+8 = 56
4x = 56 - 8
4x = 48
x = 48/4
x = 12
C. 8(x + 4) = 56
8x + 32 = 56
8x = 56 - 32
8x = 24
x = 24/8
x = 3
D. 4(x + 8) = 56
4x + 32 = 56
4x = 56 - 32
4x = 24
x = 24/4
x = 6
Learn more about equation:
brainly.com/question/16863577
Answer:
46
Step-by-step explanation:
Let 
represent a number with 
in the ten's position and 
is the one's position.
This means actually has value of 
.
We are given the sum of those digits of is 10; this means 
.
It says if 18 is added to the number , then the result is 
.
So has value and
has value 
.
We are given then:
Subtract 
on both sides:
Simplify:
Subtract on both sides:
Divide both sides by 9:
Rearrange by commutative property:
So the system of equations we want to solve is:
-------------------------Add equations together (this will eliminate the variable and allow you to go ahead and solve for :
Divide both sides by 2:
Simplify:
If and , then 
. since 4+6=10.
So the original number is (46).
18 more than 46 is 18+46=(64) which is what we wanted.
We also have the sum of 4 and 6 is 10 as well.
Answer:
5.8
Step-by-step explanation:
