Answer:
(1, 0) and (3, 0)
Step-by-step explanation:
y=2x²-8x+6
x- intercept when y=0
- 2x²-8x+6=0
- x²-4x+4=1
- (x-2)²=1
- x-2=1 ⇒ x= 3
- x-2= -1 ⇒ x= 1
You can easily test this if you know that (6, -10) corresponds to (X, Y). Knowing this, you can:
X = 6
Y = -10
you put this into your equation:
-10 = 3*6 - 8
calculate it:
-10 = 18 - 8
-10 = 10
This is not true of course, -10 is not equal to 10. Therefore, (6, -10) is not a solution of y = 3x-8 :)
Answer:
a) 1/36in.
b) 1/54in
Step-by-step explanation:
a) convert feet to inches:
L = 18ft = 216in
if length in image is 6in then 216in/6in. 36in is Scale.
width of original room = 108in.
check: 216*1/36 = 6
b) L = 18ft = 216in
216in/4in = 54in.
check: 216*1/54 = 4
1/2(5x + 12) = 2x - 3
5/2 x + 6 = 2x - 3
5/2 x - 2x = -3 - 6 = -9
5x = 2 x -9 = -18
x = -18/5
