Answer:
The solution to the system of equations is:
x = 2, and y = -1
Explanation:
Given the pair of equations:
4x + 5y = 3 ..........................................................................(1)
2x + 3y = 1............................................................................(2)
To solve this by elimination:
Multiply equation (2) by 2, to eliminate x
Equation (2) becomes
4x + 6y = 2 .........................................................................(3)
Subtract equation (1) from (3)
4x - 4x + 6y - 5y = 2 - 3
y = -1 ....................................................................................(4)
Multiply equation (1) by 3 and equation (2) by 5 to eliminate y
Equation (1) becomes
12x + 15y = 9 .......................................................................(5)
Equation (2) becomes
10x + 15y = 5 ........................................................................(6)
Subtract equation (6) from (5)
12x - 10x + 15y - 15y = 9 - 5
2x = 4
Divide both sides by 2
x = 4/2 = 2 ............................................................................(7)
From equations (7) and (4)
x = 2, and y = -1
The correct answer is d. Solid line with shading on the side that includes the origin
We can tell this for two reasons. Firstly, since it is "greater than or equal to" we use a solid line. If it were just "greater than" than we would have used a dotted line.
Secondly, to tell if the origin should be shaded is by plugging in (0,0) and seeing if it is a true statement. If it is true, it is shaded.
5x + y ≥ -10
5(0) + 0 ≥ -10
0 + 0 ≥ -10
0 ≥ -10 (TRUE)
Answer:
I believe the answer would be D, $24.86
Answer:
A proportional relationship is written as:
y = k*x
where k is the constant of proportionality.
A general word problem that represents one of these relationships can be:
If each burger costs $1.50, what would be the cost of buying x burgers?
The cost of x burgers will be x times $1.50, so if we define y as the total price, we will have the relation:
y = $1.50*x
Which is a proportional relationship where the constant of proportionality is $1,50
Answer:
The trade discount is
$235.4
Step-by-step explanation:
Given data
Slacks= $22
Jumpers= $37
Number of orders for Slacks= 30
Number of orders for Jumpers= 40
Total cost
22*30=$660
37*40=$1480
=$2140
11% discount can be computed as
=11/100*2140
=$235.4
