Answer: The correct option is
(A) Tina's favorite shade is more blue than Tyler's.
Step-by-step explanation: Given that Tina's favorite shade of teal is made with 7 ounces of blue paint for every 5 ounces of green paint.
Tyler's favorite shade of teal is made with 5 ounces of blue paint for every 7 ounces of green paint.
We are to find how Tina's favorite shade of teal compare to Tyler's shade of teal.
The fraction of blue paint in Tina's favorite shade of teal is given by
and the fraction of blue paint in Tyler's favorite shade of teal is given by
We get
That is, the fraction of blue paint in Tina's favorite shade is more than the fraction of blue paint in Tyler's favorite shade.
Thus, Tina's favorite shade is more blue than Tyler's.
(A) is the correct option.
When we graph the function, it has a vertex of (3, 16).
The maximum of the graph is the highest "x" value on the graph which is 3.
Since the maximum is 3, it will take 3 seconds for the ball to reach its maximum height.
A graph will be shown below showing the function and vertex.
Best of Luck!
<u>Answer-</u>
<em>The statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.</em>
<u>Solution-</u>
It solely depends on b, whether the function will have one or two or zero x intercept.
This plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e V shape, with vertex translated to (-a, b), instead of origin.
1- If b is zero, the graph will have exactly one x-intercept, at x= -a
2- If b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.
3- If b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.
∴ The statement is sometimes true.
