Answer:
see explanation
Step-by-step explanation:
Given
f(x) = x² - 6x + 8 and g(x) = x + 2
To solve f(x) = g(x), equate the right sides, that is
x² - 6x + 8 = x + 2 ← subtract x + 2 from both sides
x² - 7x + 6 = 0 ← in standard form
(x - 1)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 6 = 0 ⇒ x = 6
These solutions can be verified from the tables, that is
f(x) = g(x) = 3 ← when x = 1
f(x) = g(x) = 8 ← when x = 6
Answer:
What is the question?
Step-by-step explanation:
3x+5y=11 answer : 3x+5y-11=0
Step by step explanation:
3x+5y=11
Move the constant to the left
3x+5y-11=11-11
Eliminate the opposite
3x+5y=11
5y+8y
Answer:
$1.5 and $8.75
Step-by-step explanation:
Given data
let tables be x and chairs be y
The total cost to rent 3 chairs and 2 tables is $22
so
3x+2y=22----------1
The total cost to rent 5 chairs and 6 tables is $60
so
5x+6y=60---------2
the system of equation is
3x+2y=22----------1X 6
5x+6y=60---------2X 2
18x+12y= 132
- 10x+12y=120
8x+0y= 12
8x= 12
divide both sides by 8
x= 12/8
x=$1.5
put x= 1.5 in 2
5(1.5)+6y=60---------2
7.5+6y=60
6y=60-7.5
6y=52.5
divide both sides by 6
y= 52.5/6
y=$8.75
