Answer: 16/81 (x-10)^2 -4
Step-by-step explanation:
To write a vertex equation with just a point and the vertex, you have to figure out the variables.
In vertex form, the equation is y = a (x-h)^2 + k
Your y is 12, x = 1, h = 10, and k = -4
Plug everything into equation
12 = a (1 - 10)^2 -4
12 = a (-9)^2 - 4
12 = 81a - 4
16 = 81a
16/81 = a
Now you know what the 'a' value is.
If you graph 16/81 (x-10)^2 -4 , you will get a point at (1,12) and a vertex of (10,-4)!
I hope this helps!
Answer:
the answer is B
Step-by-step explanation:
6w + 5 - 3w + 7
<h3>i) collect like terms</h3>
= 6w - 3w + 5 + 7
= 3w + 5 + 7
<h3>ii) add the numbers</h3>
= 3 w + 5 + 7
= 3w + 12
Answer:
x = 30
Step-by-step explanation:

Answer:
x>6
Step-by-step explanation:
Your equation would be set up like so:
Y= 8X+12
Then plug in your Y value
60 > 8x+12
Subtract 12
48 > 8x
Divide by 8
x > 6
He runs less than 6 miles a day if he drinks less than 60oz of water. If he drank 60oz TOTAL, he would have run 6 miles TOTAL. (hence why there's no equal sign).