Given y = a(x - h)^2 + k, p = A. a B. 4a C. 1/4a
1 answer:
9514 1404 393
Answer:
C. 1/(4a)
Step-by-step explanation:
We assume you're comparing the vertex form ...
y = a(x -h)^2 +k
to the form used to write the equation in terms of the focal distance p.
y = 1/(4p)(x -h)^2 +k
That comparison tells you ...
a = 1/(4p)
p = 1/(4a) . . . . . . multiply by p/a; matches choice C
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<em>Additional comment</em>
When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).
When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:
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Answer:
The number of clarinets musical store sold was 16. and number of trumpets musical store sold was 11.
Step-by-step explanation:
Let the musical store sells 'x' number of trumpets and 'y' number of clarinets.
According to question,
Total number of trumpets and clarinets sold is 27 that is
..............(1)
Also given Trumpets cost $149 and clarinets cost $99.
then the shop sold x trumpets for $149x and sold y clarinets for $99y and total sales were $3233.
thus, ...........(2)
Solving for equation (1) and (2),
Multiply equation (1) by 149 , we get
(1) ⇒ ........(3)
Now, subtract equation (3) from equation (2) , we get
Thus, number of clarinets musical store sold was 15.8 but since clarinets are to be in whole number rounding off to the nearest integer 16.
and put y = 16 in (1) , we get
Thus, number of trumpets musical store sold was 11.