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BlackZzzverrR [31]
3 years ago
10

Which function in vertex form is equivalent to f(x) = x^2 + 6x + 3?

Mathematics
1 answer:
OlgaM077 [116]3 years ago
3 0
f(x)=x^2+6x+3

Complete the square:

x^2+6x+a^2\implies a=\dfrac{6x}{2x}=3\implies x^2+6x+3^3

And we have:

f(x)=x^2+6x+3\\\\f(x)=x^2+6x+3^2-3^2+3\\\\f(x)=(x+3)^2-9+3\\\\\boxed{f(x)=(x+3)^2-6}

Answer B.

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navik [9.2K]

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130 = 47.38+.617x

subtract 47.38 from each side

82.62=.617x

divide by .617 on each side

133.906 =x

to the nearest minute x=134

Answer Choice C

3 0
4 years ago
Jenna mixed two shades of purple paint. For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.
emmasim [6.3K]

Answer:

\frac{12}{35}

Step-by-step explanation:

Given :

→ For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.

i.e, The ratio of red paint to blue paint is 3:5

→ For Purple Majesty, she used a blue to red paint ratio of 7 to 4.

i.e, The ratio of red paint to blue paint is 4:7

To find :

1) Compare the ratios of red paint to blue paint.

\frac{3}{5}\times \frac{4}{7}=\frac{12}{35}

2) The ratio for Purple People Eater can be expressed in fraction form as :

=\frac{3}{5}

3) The ratio for Purple Majesty can be expressed in fraction form as :

=\frac{7}{4}

4) To compare these fractions, rewrite them with a common denominator

For common denominator

Multiply numerator and denominator by 4 in \frac{3}{5}

\Rightarrow\frac{3\times 4}{5\times4}=\frac{12}{20}

Multiply numerator and denominator by 5 in \frac{7}{4}

\Rightarrow\frac{7\times 5}{5\times4}=\frac{35}{20}

Common denominator is 20


6 0
3 years ago
Read 2 more answers
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Answer:

B

Step-by-step explanation:

You can just move upper y equation and it will be:

6x+3(3x-5)=15

6x+9x-15=15

15x-15=15

15x=30

x=2

6 0
3 years ago
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Dafna1 [17]

24.3 Square feet.

<em>Hoped this helped!</em>

6 0
3 years ago
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