All categories

2 years ago

The process of completing the square

Mathematics

1 answer:

iVinArrow [24]2 years ago

5 0

The method of completing the square can be used to determine the vertex of a function. he unknown value is -162

<h3>Completing the square of a function</h3>

The method of completing the square can be used to determine the vertex of a function.

Given the quadratic function

-2x² + 36x
-2(x²-18)

Complete the square

-2(x² - 18x + ( -9)²+ 9²)
-2(x-9)² + -2(81)
-2(x-9)² - 162

Compare

On comparing with the expression, you can see that the unknown value is -162

Learn more on completing the square here: brainly.com/question/13981588

#SPJ1

You might be interested in

Sunnys gymnastics class last 1hr 20minutes. the class starts at 350pm at what time does the gymnastics class end???

Monica [59]

The class will end at 5:10pm

3 0

3 years ago

Help please on this math problem: The prices of backpacks at a store are 22, 16, 39, 35, 19, 34, 20, and 26. Find the Mean Absol

Ivanshal [37]

Answer: 7.22
(note: this is a result after rounding. The result before rounding was 7.21875)

========================================================

Explanation:

Given Set of Values = {22, 16, 39, 35, 19, 34, 20, 26}

Add up the values: 22+16+39+35+19+34+20+26 = 211
Divide that sum by 8 as there are 8 values: 211/8 = 26.375

The mean is 26.375

Now subtract the mean from each data value. Apply the absolute value to ensure the difference is never negative

|22 - 26.375| = 4.375
|16 - 26.375| = 10.375
|39 - 26.375| = 12.625
|35 - 26.375| = 8.625
|19 - 26.375| = 7.375
|34 - 26.375| = 7.625
|20 - 26.375| = 6.375
|26 - 26.375| = 0.375

Add up those results
4.375+10.375+12.625+8.625+7.375+7.625+6.375+0.375 = 57.75
Then divide by 8
57.75/8 = 7.21875

The mean absolute deviation of the prices is 7.21875
Rounded to two decimal places, it is 7.22
Since we're talking about money, it makes sense to round to the nearest penny.

4 0

4 years ago

5. Which of the following best describes the domain of

Anastasy [175]

C is the answer in Brainly

7 0

2 years ago

What are the focus and the directrix of the graph of x=1/24 y^2

vladimir2022 [97]

The given equation of parabola is:

$x= \frac{1}{24} y^{2}$

Part 1) Focus of the Parabola

In order to find the focus and equation of directrix, we first have to convert the given equation to standard form of parabola.

$24x= y^{2} \\ \\ 
4*6(x)= y^{2} \\ \\ 
(y-0)^{2} =4*6*(x-0)$

The focus of the general equation of parabola shown below lies at (h+p, k)
$(y-k)^{2}=4p(x-h)$

Comparing our equation to the general equation we get:
h=0
k=0
p=6

So the focus of given parabola will be (0+6, 0) = (6,0)

Part 2) Directix of the Parabola

The directrix of the general parabola shown above lies at:

x = h - p
Using the values of h and p, we get

x = 0 - 6

x = -6

So, the directrix of the given parabola has the equation x = -6

4 0

4 years ago

3cot^(2 )x-1=0<br><br> Pls Help

Elina [12.6K]

Answer:

$x=\frac{\pi }{6} ,\frac{7\pi }{6}$

Step-by-step explanation:

$3*cot^2x-1=0\\\\3*cot^2x=1\\\\cot^2x=\frac{1}{3} \\\\cot(x)=\sqrt{\frac{1}{3} } \\\\cot(x)=\frac{1}{\sqrt{3} } \\\\\frac{1}{tan(x)}=\frac{1}{\sqrt{3} } \\\\tan(x)=\sqrt{3} \\$

x=tan^-1( $\sqrt{3}$ )

It has to be in Quadrant 1 $\frac{+}{+} =+$ or 3 $\frac{-}{-}=+$ for positive.

$x=\frac{\pi }{6} ,\frac{7\pi }{6}$

Unless that incorrect due to tan(x) range is $-\frac{\pi }{2} \leq x\leq \frac{\pi }{2}$ . Then the only answer is $x=\frac{\pi }{6}$

5 0

2 years ago