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3 years ago

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