Here given,
and ![g(x) = x^2-9](https://tex.z-dn.net/?f=%20g%28x%29%20%3D%20x%5E2-9%20)
we have to find
which means the subtracting of the functions f(x) and g(x).
![(f-g)(x) = f(x) - g(x)](https://tex.z-dn.net/?f=%20%28f-g%29%28x%29%20%3D%20f%28x%29%20-%20g%28x%29%20%20)
= ![(3x^2+2) - (x^2-9)](https://tex.z-dn.net/?f=%20%283x%5E2%2B2%29%20-%20%28x%5E2-9%29%20)
= ![3x^2+2 -x^2-(-9)](https://tex.z-dn.net/?f=%203x%5E2%2B2%20-x%5E2-%28-9%29%20)
=
( we know that multiplication of negative and negative is positive)
= ![2x^2+2+9](https://tex.z-dn.net/?f=%202x%5E2%2B2%2B9%20)
=![2x^2+11](https://tex.z-dn.net/?f=%202x%5E2%2B11%20)
We have got the required answer here.
![(f-g)(x) = 2x^2+11](https://tex.z-dn.net/?f=%20%28f-g%29%28x%29%20%3D%202x%5E2%2B11%20)
Two equivalent fractions equations are
r + 6
6 + r <span />
5x+4y = 73
-4x + 4y = -8
5x + 4y -(-4x+4y) = 73 -(-8)
5x + 4y + 4x - 4y = 81
5x + 4x + 4y - 4y = 81
9x = 81
x = 81÷9
x = 9
Substitute x = 9 into any of the equations to find y.
5(9) + 4y = 73
45 + 4y = 73
4y = 73 - 45
4y = 28
y = 28÷4
y=7
Answers :
x = 9
y = 7
Question 1
A
Question 2
D
Question 3
A
Hope this helps i hope you get a 100
Using Pythagorean theorem, the student walked 53.58 meters more compared to the total displacement from the starting point.
If a student walks 100 meters north, then 100 meters west, then the path he travels resembles the sides of a right triangle (see attached photo).
Using Pythagorean theorem, we can solve for the total displacement from the starting point to the end point.
c^2 = a^2 + b^2
where c is the total displacement from the starting point to the end point
a is the distance he walks up north
b is the distance he walks to the west
c^2 = 100^2 + 100^2
c^2 = 10,000 + 10,000
c^2 = 20,000
c = 141.42 meters
Comparing the total distance the student walked and the total displacement from the starting point to the end point by subtraction.
100 meters + 100 meters - 141.42 meters = 53.58 meters
Learn more about Pythagorean Theorem here: brainly.com/question/343682
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