Answer:
Step-by-step explanation:
To put the equation into vertex form, we need to complete the square
This is in the form
So, the vertex is (2, -5)
and 
The widths of the bars are equal to ensure that numbers aren't represented improperly. If a bar was wider than another that was the same height, it could be misinterpreted as being larger.
Answer:cost of each pound of apple= $3
And cost of each pound of orange =$2
Step-by-step explanation:
Step 1
Let cost of apples = x
And cost of Oranges =y
Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as
6 x + 3y= 24----- equation 1
Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as
5x+ 4y= 23----- equation 2
Step 2
6 x + 3y= 24----- equation 1
5x+ 4y= 23----- equation 2
Using substitution method to solve the equation
6 x + 3y= 24
24-6x=3y
y= 24-6x/3 = 8-2x
Y= 8-2x
Substituting the value of y= 8-2x into equation 2
5x+ 4( 8-2x)= 23
5x+ 32 -8x= 23
32-23= 8x-5x
9=3x
x=9/3
x=3
Putting the value of x= 3 in equation 1 and solving to find y
6 x + 3y= 24
6(3) +3y= 24
18+3y=24
3y= 24-18
3y=6
y=6/3= 2
Therefore the cost of each pound of apple= $3
And cost of each pound of orange =$2
Answer:
B
Step-by-step explanation:
3 -4 | 2
0 -1 | 7
3/2 -2 | 1
R1/3 ----> R1 (divide Row 1 by 3)
1 -4/3 | 2/3
0 -1 | 7
3/2 -2 | 1
R3 - 3/2 R1 -------> R3 (multiply Row 1 by 3/2 and subtract it from Row 3)
1 -4/3 | 2/3
0 -1 | 7
0 0 | 0
R2 / -1 -------> R2 (Divide Row 2 by -1)
1 -4/3 | 2/3
0 1 | -7
0 0 | 0
R1 + 4/3 R2 --------> R1 (Multiply Row 2 by 4/3 and add it to Row 1)
1 0 | -26/3
0 1 | -7
0 0 | 0
