Answer:
The vertex for the function f(x) = 3(x – 2)2 + 4 is at (2, 4).
Step-by-step explanation:
Find the vertex for f(x) = 3 (x - 2)^2 + 4
f(x) = 3 (x - 2)^2 + 4 can also be written as:
y = 3 (x - 2)^2 + 4
To find critical points, first compute f'(x):
d/(dx)(3 (x - 2)^2 + 4) = 6 (x - 2):
f'(x) = 6 (x - 2)
Solve 6 (x - 2) = 0
6x - 12 = 0
6x = 12
x = 2
iI you substitute x = 2 in 3 (x - 2)^2 + 4 then you get:
y = 3 (x - 2)^2 + 4
x = 2
y = 3 (2 - 2)^2 + 4
y = 3 (0)^2 + 4
y = 3 (0) + 4
y = 4
Answer: The vertex for the function f(x) = 3(x – 2)2 + 4 is at ( 2, 4 ).
Answer: $15.00 per person.
______________________________
Explanation:
______________________________
Given that there are "4 people" (that is, "Kianna and three friends");
____________________________________________________
and a total of "$58.49" ; to be divided equally among 4 (four) people;
______________________________
we are asked to <em><u>estimate</u></em> the amount that EACH person will pay.
______________________________
For an <em><u>ESTIMATE</u></em>, $58.49 is ABOUT $60.00; or "60 dollars". ;
and (60 dollars) / 4 = 15 dollars {$15; or $15.00}.
60/4 = 15; or 60/4 = (60÷2)/(4÷2) = 30/2 = 15.
________________________________________________
Answer:
x = -4
x = -1
Step-by-step explanation:
We have been given the following quadratic equation;
x^2 + 5x + 4 = 0
We are required to determine the roots of the above quadratic equation via graphing.
To do this we formulate the following equations;
y = x^2 + 5x + 4
y = 0 (x -axis)
We then proceed to graph these functions on the same graph. The roots of the original quadratic equation will be the points where the graphs of the above functions will intersect.
The attachment below is the graphical solution obtained from desmos graphing tool;
The graph of the functions intersect at;
x = -4 and x = -1
These are the roots of the given quadratic equation
Assuming you're going off of current data, 6.2% of gross pay is taken out for the Social Security tax.
So, simply take the gross pay 2344/100, which equals 23.44, then multiply by the percentage,6.2, to get 145.32
So, $145.32 is deducted from your gross pay.
There. Now you don't even need to find the answer.
