Answer:
C. x = -1 ; x ~8.1
Step-by-step explanation:
First we graph 
Here we have x+2 under the square root. x+2>=0, x>=-2
So we take some x values greater than -2 and find out f(x) to make a table for graphing
x f(x)
-2 
-1 -4
2 -5
Graph it and extent the graph
Now we graph 
Given equation is in the form of g(x) = a|x-h| + k
where (h,k) is the vertex
here h= 3 and k = 4, so vertex is (3,4)
Now make a table, pick some numbers for x less than and greater than vertex
x y
-1 
0 
3 4
6 -2
Both graphs are attached below
The graph of f(x) and g(x) interests at x= -1 and x=8.1
Answer:
Carly didn't make a mistake
Step-by-step explanation:
24 / (4 x 2 - 5)
PEMDAS
P: Parenthesis = (4 x 2 - 5)
E: Exponents: None
M: Multiplication = (4 x 2 - 5) = (8 - 5)
D: Division = Not yet, because the Parenthesis is not done.
A: Adding = None
S: Subtracting = (8 - 5) = 3
Divide = 24/3 = 8
Answer:
area = 375.8 ft^2
Step-by-step explanation:
The scale is 2 inches = 5 feet.
The room is 6.5 inches wide in the drawing. We need the real width, x.
2 in./5 ft = 6.5 in./x
2x = 5 * 6.5
2x = 32.5
x = 16.25
The real width is 16.25 ft.
The room is 9.25 inches wide in the drawing. We need the real length, y.
2 in./5 ft = 9.25 in./y
2y = 5 * 9.25
2x = 46.25
x = 23.125
The real length is 23.125 ft.
Area of rectangle = length * width
area = 23.125 ft * 16.25 ft
area = 375.78125 ft^2
area = 375.8 ft^2
Answer:
11 1/5
Step-by-step explanation:
7/5 * c
Let c=8
7/5 * 8
56/5
5 goes into 56 11 times (11*5 = 55) with 1 left over
11 1/4
There are 59,400 ways this jury can be selected.
Since the events are independent of each other (choosing one does not influence the chance of choosing the others) we multiply the combinations.
The first combination is
, because we are selecting 4 men from a possible 12.
The second combination is
, because we are selecting 3 women from a possible 10.
Multiplying these we have:
