Answer:
The coordinate of the vertex of the parabola is (h,k) = (3,20)
Step-by-step explanation:
The given equation of the parabola is 
Now, the General Parabolic Equation is of the form:
, then the vertex is the point (h, k).
Now, to covert the given equation in the standard form:

Using the COMPLETE THE SQUARE METHOD,

or
⇒The general formed equation of the given parabola is

Comparing this with general form, we get
h = 3, k = 20
Hence, the coordinate of the vertex of the parabola is (h,k) = (3,20)
Answer: The least score she can get on her next test is 455 points.
Step-by-step explanation: From the available information, her current mean score is 88%, and that was achieved from a total of 5 tests. Hence, her mean score was computed as follows;
Mean = (Summation of data)/observed data
Where the observed data is 5 and the mean is 88. Therefore the mean can now be expressed as,
88 = Summation of data/5
By cross multiplication we now have
88 x 5 = Summation of data
440 = Summation of data.
So, if she wants to raise her mean score on her next test to 91%, her least possible score would be derived as
91 = (Summation of data)/5
By cross multiplication we now have
91 x5 = Summation of data
455 = Summation of data
Therefore, on her next test, she must score at least 455 points.
14 is how many bottles you can fill
Answer:
is needed for 5 servings.
Step-by-step explanation:
Since we have given that
Hemal wanted to make desert for her family for which they made the recipe,
For 8 servings , the number of cups of flour is needed = 2
We will use "Unitary Method" ,
For 1 serving, the number of cups of flour is needed is given by

For 5 servings, the number of cups of flour is needed is given by

Hence,
is needed for 5 servings.
Answer:
-213
not in d option though check d question
Step-by-step explanation:
h(r) = 23r − 6
h(-9) = 23(-9) - 6
= -207 - 6
= -213