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Daniel [21]
3 years ago
10

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

Mathematics
2 answers:
prohojiy [21]3 years ago
8 0

Answer:

B. f(x) = (x + 3)2 − 6


Step-by-step explanation:


Sati [7]3 years ago
5 0

Answer:

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

Step-by-step explanation:

We have been given a function f(x)=x^2+6x+3. We are asked to find the function equivalent to our given function in vertex form.

To convert our given function in vertex form, we need to complete the square for our given function as:

Add and subtract (\frac{b}{2})^2 from equation:

(\frac{b}{2})^2=(\frac{6}{2})^=3^2=9

f(x)=(x^2+6x+9)+3-9

f(x)=(x^2+2\cdot 3x+3^2)-6

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

Therefore, the f(x)=(x+3)^2-6 is equivalent to our given function in vertex form.

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3 years ago
Read 2 more answers
Please help Factor completely. Show your work (as much work as possible, including a ​list of factors if
defon

Answer:

1. x =0; x = -7

2. x = -3; x = 10

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Step-by-step explanation:

(1). 6x² + 42x = 0

6x (x + 7) = 0

6x = 0. OR. x + 7 = 0

x = 0/6. x = 0 - 7

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x = 0

x = -7

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The factors here are (3, -10)

x² - 10x + 3x - 30 = 0

x ( x - 10) + 3 ( x - 10) = 0

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x = -3. x = 10

x = -3

x = 10

(3). x² + 9x + 20 = 0

The factors are ( 4, 5)

x² + 4x + 5x + 20 = 0

x ( x + 4) + 5 ( x + 4) = 0

(x + 5) (x + 4) = 0

x + 5 = 0 . OR. x + 4 = 0

x = 0-5. x = 0 - 4

x = -5. x = -4

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Step-by-step explanation:

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A tower is 234 meters tall. Jaylon is looking up at the top of the tower and thinking it would be cool to string a zip line from
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Answer:

A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.

Step-by-step explanation:

The geometrical representation of the statement is summarized in the figure below attached. The length of the line is represented by hypotenuse of the right triangle, whose value is calculated by the help of trigonometrical relations:

\cos \alpha = \frac{h}{r} (1)

Where:

\alpha - Angle formed between the zip line and the tower, measured in sexagesimal degrees.

h - Vertical distance between the tower and the platform, measured in meters.

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If we know that \alpha = 76^{\circ} and h = 232.1\,m, then the length of the zip line is:

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r = \frac{232.1\,m}{\cos 76^{\circ}}

r = 959.401\,m

A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.

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