Answer:
D. g(x) = (x - 5)² + 3
Step-by-step explanation:
If a graph is translated horizontally, the value will affect x inside of the parentheses. For example, (x + #) or (x - #).
If a function is translated to the right, there will be a (-) sign. If a function is translated to the left, there will be a (+) sign.
This function needs to be translated 5 units to the right. Therefore, the equation will be: g(x) = (x - 5)² + 3
Answer:
1,022.83 ft³
Step-by-step explanation:
volume= ⅓×½××19×17×19 = 1,022.83 ft³
Answer:
x = 4 ±√26
Step-by-step explanation:
Please write this as x^2 - 8x = 10, or x^2 - 8x - 10 = 0. " ^ " indicates exponentiation.
Let's complete the square:
x^2 - 8 x can be rewritten as
x^2 - 8x + 16 - 16, and so
x^2 - 8x = 10 becomes x^2 - 8x + 16 - 16 - 10 = 0, or
(x - 4)^2 = 26
Taking the square root of both sides, we get:
x - 4 = ±√26, or
x = 4 ±√26
Answer: -9 units
Step-by-step explanation:
-9 x 4 = -36
so therefore -36 divided by 4 = -9
Answer:
There were 20 picks total
Step-by-step explanation:
We can use a proportion to solve this problem. Put the orange picks on top and the total picks on bottom
3 orange 12 orange
-------------- = ---------------
5 total x total
Using cross products
3x = 5*12
3x= 60
Divide each side by 3
3x/3 = 60/3
x = 20
There were 20 picks total
