Answer:
B
Step-by-step explanation:
+ 6 = x ( subtract 6 from both sides )
= x - 6 ( square both sides )
x = (x - 6)² ← expand using FOIL
x = x² - 12x + 36 ( subtract x from both sides )
0 = x² - 13x + 36 , that is
x² - 13x + 36 = 0 ← in standard form
(x - 4)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 9 = 0 ⇒ x = 9
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 4
left side = 
+ 6 = 2 + 6 = 8
right side = x = 4
Since 8 ≠ 4 then x = 4 is an extraneous solution
x = 9
left side = 
+ 6 = 3 + 6 = 9
right side = x = 9
Thus the solution is x = 9 → B
Answer:
f(x) = 2/3 x +3
Step-by-step explanation:
We know the y intercept ( where it crosses the y axis) is 3
We can calculate the slope from 2 points (-3,1) and (0,3)
Slope = (y2-y1)/(x2-x1)
= (3-1)/(0--3)
= (3-1)/(0+3)
= (2/3)
The slope is 2/3
Since we know the slope and the y intercept, we can use the slope intercept form
y= mx+b
y = 2/3 x+3
f(x) = 2/3 x +3
Answer:
7/9 ÷ 1/3 = 21/9 as simplified as 7/3 in fraction form. 7/9 ÷ 1/3 = 2.3333 in decimal form.
Answer:
Part a)
Steve's expression is 
For x=3, the expression is equal to 
Part b)
Jasmine's expression is
For x=2, the expression is equal to 
Step-by-step explanation:
Part a)
Let
n-----> the first term
The expression is
substitute
Steve's expression is
Evaluate for x=3
Part b)
Let
n-----> the first term
Jasmine's expression is
Evaluate for x=2
Answer:
So, exists 5527200 different leadership structures.
Step-by-step explanation:
We know that four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and treasurer. The first perosn to be selected is the chairperson, the second to be selected as vice chairperson, the third is secretary, and the fourth is treasurer.
Since the order of the people is important to us, we have the following:
50·49·48·47=5527200
So, exists 5527200 different leadership structures.
