Answer:
10 + 0.05m; m = 350 minutes
Bob's phone bill will be $27.50
Step-by-step explanation:
$10 + ($0.05 x 350 minutes) = $27.50
We will see that g(x) is a reflection across the y-axis of f(x), then:
<h3>How to identify the function g(x)?</h3>
By looking at the graph, we can see that g(x) is a reflection across the y-axis of f(x).
So we can write:
g(x) = f(-x)
Here we know that:
Then, replacing f(x) on the formula for g(x), we get:
That is the function g(x) shown in the figure.
If you want to learn more about transformations:
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To find the vertex of a quadratic function, you need to 'complete the square';
Completing the square gives a quadratic in another form;
For quadratics that have an x² coefficient of 1 as is the case, it is a simple matter to complete the square:
For the quadratic x² + bx + c
Simply, put x added to half the coefficient of the x term (b/2) in a bracket and square the bracket;
Then add the constant (c) and the square of the half the coefficient of the x term (b/2), so:
(x + d)² + e, where d is a (rational) number to be identified;
d = b/2
e = d² + c
So, for f(x) = x² + 0x + 3:
Then the completed-the-square form is: f(x) = (x + 0)² + 3
As it happens, this quadratic function has a common normal form and completed-the-square form because the x-coefficient is 0.
The vertex coordinates are, according to the general format given above:
(-d, e).
So, looking at completed-the-square form for the function in question, we can tell the vertex is at the coordinates: (0, 3)
Quadratic functions always have symmetry about the vertical line with the x-coordinate of the vertex;
This makes sense if you think about how the graph looks (u-shaped);
Therefore for our function, the vertex is:
x = 0 (a vertical line with the x-coordinate of the vertex).
Hey there!
“3500 in scientific notion”
In order for you to find out your answer you have to move your decimal THREE places to your left. If you solve this, you should’ve gotten: 3.500
The “00” in the result we received is invisible so we don’t have to worry about right now in the equation to solve for your answer
Solve what you have ⬆️ ..
Answer: 3.5 × 10³
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
10984 rounded to the nearest thousand is 11,000
