Hello!
x² - 4x + 6 = 9 <=>
<=> x² - 4x + 6 - 9 = 0 <=>
<=> x² - 4x - 3 = 0 <=>
<=> x = -(-4)±√(-4)²-4×1×(-3)/2×1 <=>
<=> x = 4±√16+12/2 <=>
<=> x = 4±√28/2 <=>
<=> x = 4±2√7/2 =>
=> x = 4+2√7/2 and x = 4-2√7/2 =>
=> x = 2+√7 and x = 2-√7
The equation has two solutions.
Good luck! :)
I think it is 38 people total. For everyone
I think...
<span>Length = x Width = 2x
Perimeter = 2 * length + 2 * width
= 2x + 4x
= 6x
6x = 66
x = 11
</span><span>Length = x Width = 2x
Perimeter = 2 * length + 2 * width
= 2x + 4x
= 6x
6x = 66
x = 11</span>
Answer:
y-int: (0, 13)
Equation: y = -2x + 13
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
<em>m</em> = slope
<em>b</em> = y-intercept
Step 1: Define variables
<em>m</em> = -2
Random point (5, 3)
Step 2: Plug in known variables
y = -2x + b
Step 3: Find y-intercept <em>b</em>
3 = -2(5) + b
3 = -10 + b
b = 13
Step 4: Rewrite equation
y = -2x + 13
-46=3x+7x
-46=10x
X= 10/(-46)
X=-5/23
Therefore, the equation only has one solution
