Answer:
Step-by-step explanation:
x=2,x-2=0
x=8
x-8=0
y=(x-2)(x-8)=x²-2x-8x+16=x²-10x+16
=x²-10x+25-25+16
=x²-10x+25-9
y=(x-5)²+9
axis of symmetry is x-5=0 or x=5
Answer: 3
Explanation: logarithm base 8 of 512 is 3
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.
Okay, so to get the inverse function, you need to isolate the x first.
You can do this by multiplying by 4. Then, -2 to get just 3x and finally divide by 3 so that you just have x on its own. If we write this all out, we get (4x-2)/3.
Next, we need to substitute 24 into x's place. So, we have ((4x24)-2)/3. Then, we can just simplify. 4x24=96. 96-2=94. 94/3=32.6.
Hope this helps :)
-10x+4.
5x-7x is -2.
-2x-8x is -10x.
you cannot simplify the 4
alternatively, you could write -10x+4 as
-2(5x-2)