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Katen [24]
3 years ago
13

Helpppppp!!!!!!!!!!!!!!!

Mathematics
1 answer:
lions [1.4K]3 years ago
6 0
Your answer is D. Hope this helps!


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Write p(x) = 21 + 24x + 6x2 in vertex form.
Citrus2011 [14]

<u>ANSWER</u>

p(x)=-3+6(x+2)^2


<u>EXPLANATION</u>


The given function is


p(x)=21+24x+6x^2


We make the coefficient of x^2 unity by factoring 6 out of the last two terms to obtain;


p(x)=21+6(4x+x^2)


We now add and subtract half the coefficient of x multiplied by a factor of 6 to obtain;


p(x)=21-6(2)^2+6(2)^2+6(4x+x^2)


We now factor 6 out of the last two terms to get;


p(x)=21-6\times 4+6((2)^2+4x+x^2)


p(x)=21-24+6((2)^2+4x+x^2)


The quadratic trinomial in the parenthesis is now a perfect square.


p(x)=-3+6(x+2)^2


Hence the vertex form of the polynomial is


p(x)=6(x+2)^2-3









8 0
3 years ago
Read 2 more answers
Janelle has recently been hired for the job of library assistant the following graph shows what percentage of her time will be s
CaHeK987 [17]
We can't answere that because there is no graph. We have no numbers to compare.
5 0
3 years ago
What is the value of x if 8:15 ::16x
Nana76 [90]

Step-by-step explanation:

8:15::16:x

8x = 15 x 16

8x = 240

x = 240/8

x = 30

8 0
3 years ago
1) AU (C - B) =
torisob [31]

Answer:

A \cup (C-B) = (A \cup C) \cap  (A \cup B^c)\\A \cup (B \cap C) = (A \cup B) \cap (A \cup C) \,\,\, \text{Here you use double inclusion.}\\A \cup B \cup C =  A \cup (B \cup C)\\B^c \cap (A-C)  = (B^c - C) \cap A\\(B \cap C) - A = (B-A)\cap C\\C-(A\cup B) =  (C - A )\cap B\\A^c \cap (B \cap C) = ( A^c \cap B) \cap C

Step-by-step explanation:

A \cup (C-B) = A \cup (C \cap B^c) = (A \cup C) \cap  (A \cup B^c)\\A \cup (B \cap C) = (A \cup B) \cap (A \cup C) \,\,\, \text{Here you use double inclusion.}\\A \cup B \cup C = (A \cup B ) \cup C  = A \cup (B \cup C)\\B^c \cap (A-C)  = B^c \cap (A \cap C^c) =  (B^c \cap C^c) \cap A =  (B^c - C) \cap A\\(B \cap C) - A = (B \cap C) \cap A^c  = (B \cap C) \cap A^c = (B \cap A^c)\cap C = (B-A)\cap C\\C-(A\cup B) = C \cap (A\cup B)^c = C \cap (A^c \cap B^c ) = (C  \cap A^c )\cap B^c = (C - A )\cap B\\

A^c \cap (B \cap C) = ( A^c \cap B) \cap C

3 0
3 years ago
A bus is travelling with 52 passengers. When it arrives at a stop, y passengers get off and 4 get on. At the next stop one-third
MissTica

52-y+4
(2/3) (52-y+4)+3=25 ;; (1/3) get off, so (2/3) left
(2/3)(52-y+4) =22
52-y+4=33
-y=-23
y=23
3 0
3 years ago
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