Answer:
y = x^2 +6x +8
Step-by-step explanation:
The vertex is located at (-3, -1) and the graph rises 1 unit vertically for 1 unit away from the vertex. This means the scale factor is 1 and the vertex form equation can be written as ...
y = a(x -h)^2 +k . . . . . vertex form with scale factor a, vertex (h, k)
__
y = (x -(-3))^3 +(-1) . . . fill in the values we know
y = (x +3)^2 -1 . . . . . simplify signs
y = x^2 +6x +9 -1 . . . eliminate parentheses
y = x^2 +6x +8 . . . . . your equation in standard form
The following equation represents the function g in function notation,
g(x) = 3x - 14 [Option (A)]
Definition of a Function
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A function, in general, represents the idealized relationship between two changing quantities.
Given equation is,
y -3x = -14
⇒ y = -14 + 3x
or y = 3x - 14
Here, y stands for or represents the function g(x) which is a function of independent variable x.
Thus, the correct function notation is as follows,
g(x) = 3x - 14
Learn more about a function here:
brainly.com/question/12431044
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Answer:
160 miles per hour
Step-by-step explanation:
640/4=160
960/6=160
First, we must follow PEMDAS. (Parenthesis, exponents, division, multiplication, addition, and subtraction.).
We do what's in the parenthesis first.
9+9(2+4)÷3-2.
2+4=6.
Now our problem looks like this;
9+9(6)÷3-2
OR
9+9×6÷3-2.
Anything in a parenthesis with no sign next to it, like this; 8(2), just means multiplication, so it would look like this: 8×2.
Next, we do all the multiplication in our problem.
9+9×6÷3-2.
9×6=54.
Now our problem looks like this;
9+54÷3-2.
Next, we do the division.
9+54÷3-2
54÷3=18.
Now our problem looks like this;
9+18-2.
Next, we do the addition.
9+18-2
9+18=27
Now it looks like this;
27-2.
Finally, we subtract.
27-2=25.
Your final answer is 25!
Have a nice day! :)
