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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

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For what value of x does 3^2x=9^3x-4

Andrei [34K]

Answer:

x = 2.

Step-by-step explanation:

3^2x = 9^(3x - 4)

9^3x-4 = 3^2x

(3^2)^(3x-4) = 3 ^2x

3^6x-8 = 3^2x

6x - 8 = 2x

4x = 8

x = 2 (answer).

8 0

3 years ago

The average number of employees that call in sick for the day over the course of a year is 25.

sveta [45]

Answer:

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms.

x¯= <u>25+10+16+39+27+25+32+25+25+22+28+14</u>

<h3>Simplify the numerator. </h3>

x¯ = <u>261.27</u>

<h3>Divide 261.27 by 11 </h3>

x¯= 23.75 18

<h3>Divide. </h3>

x¯= 23.75 18

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

x¯=23.8

<h3>Simplify each value in the list. </h3>

25,10,16,39.27,25,32,25,25,22,28,14

Set up the formula for sample standard deviation. The standard deviation of a set of values is a measure of the spread of its values.

s= n^∑ i=1 √(<u>xi−xavg</u>)²

N-1

Set up the formula for standard deviation for this set of numbers.

s= ⎷(25−23.8)²+(10−23.8)²+(16−23.8)²+(39.27−23.8)²+(25−23.8)²+<u>(32−23.8)²+(25−23.8)²+(25−23.8)²+(22−23.8)²+(28−23.8)²+(14−23.8)</u>²

11−1

<h3>Simplify the result. </h3>

s= √68.05209

The standard deviation should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

8.2

7 0

3 years ago

Read 2 more answers

What is the domain of the function<br> y=^3 sqrt x-1

Anettt [7]

Answer:

The domain is all real numbers

3 0

3 years ago

Read 2 more answers

Look at the formula for finding the volume of a rectangular prism below.

krek1111 [17]

V = LWH.....to find W, divide both sides by LH
V / LH = W <===

3 0

3 years ago

An object moves in simple harmonic motion with period 8 seconds and amplitude 6 cm. At time t = 0 seconds, its displacement d fr

Vladimir79 [104]

In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.

<h3>What is simple harmonic motion?</h3>

Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.

We have:

Amplitude A = 6 cm

Time period = 8 seconds

T = 2π/w

8 = 2π/w

w = π/4

Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.

d(0) = -6 cm at t = 0

The equation becomes:

$\rm d = 6sin(\dfrac{\pi}{4}t)-6$

Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.

Learn more about the simple harmonic motion here:

brainly.com/question/17315536

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4 0

3 years ago