1. (7 , 0) and (11 , 3) → B and D
substitute each coordinate point into the left side of the equation and if equal to 21 then it is a solution.
( 7 , 0) → (3 × 7) - ( 4× 0) = 21 - 0 = 21
(11 , 3) → (3 × 11 ) - ( 4 × 3) = 33 - 12 = 21
2. ( 2 , - 9 ) is a solution to the equation
substitute the coordinates into the equation and if equal to 13 the it is the solution.
(2 , - 9 ) → (5 × 2 ) - (-9)/3 = 10 + 9/3 = 10 + 3 = 13
(3 , - 6) → (5 × 3) - (- 6)/3 = 15 + 6/3 = 15 + 2 = 17
thus (2 , -9 ) is the solution
4. x- intercept = (- 45 , 0)
to find the x- intercept let y = 0
1/3 x + 0 = - 15
1/3x = - 15
multiply both sides by 3
x = 3 × - 15 = - 45
thus x -intercept = ( - 45 , 0)
Answer:
Step-by-step explanation:
The odd numbers.
Suppose you have 31 and 27 when you add these two together, you get 58 which is not an odd number.
If you need a more mathematical proof, you could do it this way.
2x+1
2x is even. Anything multiplied by 2 is even. When you add 1 you get an odd number
So continue on
2y + 1 is the other number.
2x + 1 + 2y + 1 = 2(x + y) + 2
2 (x + y ) is even. When you add 2 to it, nothing changes. The result is still even.
Answer:
$12500
Step-by-step explanation:
Given that:
Salary plan 1:
Weekly salary of $500.
And a commission of 4%.
Salary plan 2:
Straight commission of 8%.
To find:
Weekly sales for which both the plans will make the same sales?
Solution:
Let the weekly sales = $
As per question statement:
Salary as per Plan 1 = $500 + 4% of 
Salary as per Plan 2 = 8% of 
Putting both the salaries to equal to find the total weekly sales.
$500 + 4% of
= 8% of 

Therefore, the answer is:
For the sales of $12500, the salary will be same from both the plans.
Answer:
L = 18 and w = 16
Step-by-step explanation:
The area of a rectangle is found by A = l*w. Since the length here is 2 more than the width or 2 + w and the width is w, substitute these values and A = 288 to solve for w.

To solve for w, move 288 to the other side by subtraction. Then factor and solve.

Set each factor equal to 0 and solve.
w - 16 = 0 so w = 16
w + 18 = 0 so w = -18
Since w is a side length and length/distance cannot be negative, then w = 16 is the width of the rectangle.
This means the length is 16 + 2 = 18.
Answer:
$630.50
Step-by-step explanation: