First, I would convert the equation to slope intercept form.
That would be: y = (3/5)x + 3 , now it will be easier to create the needed equations.
For no solution, keep the slope the same and change the y-intercept.
You could have: y = (3/5)x + 9
For one solution, all we have to do is change the slope.
You could have: y = (4/5)x + 3
For an infinite number of solutions, just multiply the entire equation by any number. Let's use the number 2.
2y = (6/5)x + 6
ANSWER
P=8,Q=16
EXPLANATION
We can see from the table that both pattern P and Q have an initial value of 24.
Pattern P is reducing by a constant difference of 4.
The next value for pattern P is
12-4=8.
Also pattern Q is reducing by a constant value of 2.
The next value for pattern Q is,
18-2=16
The inverse of this function is g(x)=9x+2. if this doesn’t work, try g(x)=9x-2 :)
To figure this out you would need to create a rectangle with dimensions that give you an area of 7 ft.². The easiest example would be a rectangle that is one by seven. If the scale is 1:16, that means for every foot it is actually representing 16 feet. The actual length and width would be found by multiplying 1×16 and 7×16. The true dimensions then would be 16 x 112. Multiply this together to get a total area of 1792 ft.².
Answer:
<h3>
A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>
Step-by-step explanation:
H = 2x+6 - the hight
3H = 3(2x+6) - triple the hight
3H-5 = 3(2x+6) - 5 - five less than triple the height
Area of triangle: A = 0.5BH
B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13
H = 2x+6
So:
A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78
A = 6x² + 49x + 78
