Hello, I need to answer this question for an assignment."What is a real-world example in your life where a piecewise function might be used?"

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The standard equation of a quadratic function is:

y = ax² + bx + c

1) Given that:

x² + 4x + 3 = 0

subtract 3 from both sides:

x² + 4x = -3

add to both sides the square of half the coefficient of x:

x² + 4x + 4 = -3 + 4

(x + 2)² = 1

2) Given that:

x² - 6x + 13 = 0

subtract 13 from both sides:

x² - 6x = -13

add to both sides the square of half the coefficient of x:

x² - 6x + 9 = -13 + 9

(x - 3)² = -4

The equations are (x + 2)² = 1 and (x - 3)² = -4

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Answer:

  y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}

Step-by-step explanation:

You want y = 1/2|x -6| +4 written as a piecewise function.

The absolute value function changes its definition when its argument is negative:

  y = |x|   ⇒   y = -x for x < 0, and y = x for x ≥ 0

This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.

The argument is negated in this domain, so we have ...

  y = -1/2(x -6) +4

  y = -1/2x +3 +4

  y = -1/2x +7

The absolute value function is an identity function in this domain:

  y = 1/2(x -6) +4

  y = 1/2x -3 +4

  y = 1/2x +1

Combining these descriptions into one, we have ...

  \(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)

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Answer:

c=17

Step-by-step explanation:

(5+c)/2=11

5+c=22

c= 22-5

c=17

9514 1404 393

Answer:

  938 feet

Step-by-step explanation:

The diagonal is the hypotenuse of a right triangle with side lengths 900 ft and 264 ft. The Pythagorean theorem tells you how to compute its length.

  d² = 900² +264² = 879,696

  d = √879,696 ≈ 937.92 . . . . feet

They would walk about 938 feet.

Answer:

to graph an inequality you need a variable. your question does not have a variable. please rewrite the question.

The profit function for this problem is given as follows:

P(x) = -0.5x³ + 100x² - 500x + 300.

The profit function is obtained as the subtraction of the revenue function by the cost function, as follows:

P(x) = R(x) - C(x).

The functions for this problem are given as follows:

Hence the profit function is given as follows:

P(x) = -0.5x³ + 600x² - 200x + 300 - 500x² - 300x

P(x) = -0.5x³ + 100x² - 500x + 300.

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Answer: A, C, E

Step-by-step explanation:

An undefined slope means the line is vertical (and thus the x-coordinates are constant).

The first term of the expansion of (2x+5)^4 is 16x⁴

From the question, the expression is given as

(2x + 5)^4

The first term of the expansion can be calculated using

First term = 1 * (2x)ⁿ * (5)ⁿ-ⁿ

The values of the variables are

n = 4 --- the exponent

Substitute the known values in the above equation

So, we have the following equation

First term = 1 * (2x)⁴ * (5)⁴⁻⁴

Evaluate

First term = 1 * (2x)⁴ * (5)⁰

Evaluate the product

First term = 16x⁴

Hence, the first term is 16x⁴ and none of the options is correct

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From the given diagram, we can name the following as;

Ray is AT

Line segment is MH

Line is AM

A ray is defined as a line that has only one endpoint. The other end of the line just goes on. It has one start point and one end point.

A line segment has two end points. The difference between a line segment and a line is that a line is extensive while the line segment has two end points.

A line is straight, without any type of thickness and it is the shortest distance that exists between 2 points. It has only length. It is without width.

Looking at the given image and comparing with our definitions, we can say that;

Line segment is MH

Ray is AT

Line is AM

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Answer:

the first is is a nonlinear

Step-by-step explanation:

the first graph is nonlinear

a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°

b) The measure of each interior angle of the regular nonagon is a = 140°

c) The measure of each exterior angle of the regular nonagon​ is b = 40°

Given data ,

Sum of the measures of the interior angles of a regular nonagon:

The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:

Sum of interior angles = (n - 2) * 180°

For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:

Sum of interior angles = (9 - 2) * 180

Sum of interior angles = 7 * 180

Sum of interior angles = 1260°

So, the sum of the measures of the interior angles of a regular nonagon is 1260°

Measure of each interior angle of a regular nonagon:

Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:

Measure of each interior angle = Sum of interior angles / Number of sides

Measure of each interior angle = 1260 / 9

Measure of each interior angle = 140°

So, the measure of each interior angle of a regular nonagon is 140°

Measure of each exterior angle of a regular nonagon:

The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°

Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:

Measure of each exterior angle = 360 / Number of sides

Measure of each exterior angle = 360 / 9

Measure of each exterior angle = 40°

Hence , the measure of each exterior angle of a regular nonagon is 40°

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Answer:3/4

Step-by-step explanation:Cho used 5/2

She used 13/4 to bake a loaf.

How much more is 13/4-5/2

=13-10/4

=3/4

Hope it helps!

The value of x in the line segment is - 7 / 3.

A line segment is a section of a line bounded by two points or connecting two points. The value of x if U is between T and V can be found as follows:

TU = 7x + 35

UV = 4(x + 7)

TU ≅ UV

Therefore, let's find x as follows:

7x + 35 = 4(x + 7)

7x + 35 = 4x + 28

7x - 4x = 28 - 35

3x = - 7

x = -7  /3

Therefore,

x = - 7 / 3

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Step-by-step explanation:

Just multiply the two dimensions to get m^2  area

7.2 m * 11 m = 79.2 m^2

Answer:

x=3

Step-by-step explanation:

Hey there!

In order to solve this equation, we must first distribute the 3

3x + 9 = -4x + 30

Now we combine like terms

7x = 21

Then we divide both sides by 7 to get x by itself

x = 21/7

x = 3

Answer: x=3

Step-by-step explanation:

To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.

3(x+3)=-4x+30                 [distribute]

3x+9=-4x+30                    [add both sides by 4x]

7x+9=30                            [subtract both sides by 9]

7x=21                                 [divide both sides by 7]

x=3

Therefore, we get x=3.

Answer:

6

Step-by-step explanation:

-3 | 6 - 2| + 1

-3 + 6 + 2 + 1

-3 + 9 = 6

After value putting, if the number of guests represented by the variable (g) is 17 then the cost pf the food is $220.

In the given question we have to evaluate the expression if the number of guests represented by the variable (g) is 17.

An expression to represent the cost of the food for a catered lunch is 50+10g.

The fee for the catering is $50 and then there is a $10 charge for each lunch box.

Since g is representing the number of guests.

The the value of g is given 17.

Now putting the value of g in the given expression.

=50+10g

=50+10*17

=50+170

=220

Hence, if the number of guests represented by the variable (g) is 17 then the cost pf the food is $220.

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Answer:

a = 3

Step-by-step explanation:

Collect like-terms:

\( - 16 = a - 19\)

\(a = - 16 + 19\)

\(a = 3\)

Answer: 3

Step-by-step explanation: you take 19 from 3 giving you -16

Answer:

y-intercept

Step-by-step explanation:

you only need the slope and points for point-slope form

Answer:

Let's call the distance from A to B "x". Then, according to the problem, the distance from B to C is two-thirds of x, or (2/3)x.

The distance from A to C is the sum of the distance from A to B and the distance from B to C. So,

distance from A to C = distance from A to B + distance from B to C

distance from A to C = x + (2/3)x

distance from A to C = (5/3)x

We know that the distance from A to B is 120m, so x = 120m. Substituting that into the equation above, we get:

distance from A to C = (5/3)x

distance from A to C = (5/3)(120m)

distance from A to C = 200m

Therefore, the distance between A and C is 200 meters.

Step-by-step explanation:

Answer:

P(A) = 0.57 (rounded to two decimal places).

Step-by-step explanation:

The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:

P(red) = number of red marbles / total number of marbles

P(red) = 20/35

We can simplify this fraction by dividing both the numerator and denominator by 5:

P(red) = 4/7

So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.

Therefore, P(A) = 0.57 (rounded to two decimal places).

Answer:

40 hours of training=h(40)

Monthly Pay=1700

Step-by-step explanation:

For 40 hours of training, you will receive $1700 for the month.

Answer:

4 &5

Step-by-step explanation:

5*4 = 20 which is less than 27. 5*5 = 25 which is less than 27.

Hope this helps.

Corrected Question

a. Develop a probability distribution for the job satisfaction score of a senior executive.

b. Develop a probability distribution for the job satisfaction score of a middle manager.

c. What is the probability a senior executive will report a job satisfaction score of 4 or 5?

d. What is the probability a middle manager is very satisfied?

Answer:

(c)0.83

(d)0.28

Step-by-step explanation:

The percent frequency distributions of job satisfaction scores os give below:

\(\left|\begin{array}{c|c|c}$Job Satisfaction Score&$IS Senior Executives(\%)&$IS Middle Managers(\%)\\1&5&4\\2&9&10\\3&3&12\\4&42&46\\5&41&28\end{array}\right|\)

(a)Probability distribution for the job satisfaction score of a senior executive.

\(\left|\begin{array}{c|c}$Job Satisfaction Score&$Relative Frequency (f_1(x))\\------&------\\1&0.05\\2&0.09\\3&0.03\\4&0.42\\5&0.41\end{array}\right|\)

(b)Probability distribution for the job satisfaction score of a middle manager.

\(\left|\begin{array}{c|c}$Job Satisfaction Score&$Relative Frequency (f_2(x))\\1&0.04\\2&0.10\\3&0.12\\4&0.46\\5&0.28\end{array}\right|\)

(c)Probability a senior executive will report a job satisfaction score of 4 or 5

P(a senior executive will report a job satisfaction score of 4 or 5)

\(=f_1(4)+f_1(5)\\=0.42+0.41\\=0.83\)

(d)Probability a middle manager is very satisfied

The probability a middle manager is very satisfied

\(=f_2(5)\\=0.28\)

Answer:

Hello your question has some missing information attached below is the missing information

answer :

i) ( 0.158 , - 1.018 )

ii)  the difference in expected earnings can be computed as

( \(X_{6,A} - X_{5,C} ) = \beta _{0} + \beta _{6} - ( \beta _{0} - \beta _{5} ) = \beta _{6} - \beta _{5}\)

Step-by-step explanation:

i) Construct a 95% confidence interval ( between Juanita and Molly )

Expected difference in earnings = ( X\(_{6}\)\(_{,A}\) - X\(_{6.B}\)) = \(\beta _{0}\)= ( \(\beta + \beta _{6}\) )

∴ 95% confidence interval

-0.43 ± 1.96 * 0.30 = [ -0.43 ± 0.588 ] =  ( 0.158 , - 1.018 )  ( hence confidence interval at 95% = 1.96 )

ii) Construct a 95% confidence interval ( between Juanita and Jennifer )

Juanita is a student from the south and Jennifer is a student from Midwest

therefore the difference in expected earnings can be computed as

( \(X_{6,A} - X_{5,C} ) = \beta _{0} + \beta _{6} - ( \beta _{0} - \beta _{5} ) = \beta _{6} - \beta _{5}\)

therefore a 95% confidence interval can be calculated with the above regression model.

Answer:

Step-by-step explanation:

You are trying to find the value of K, so to do that you need to get k by itself (example : K= 3-5 instead of K+5= 3)

So in 1a i would simplify 7k-3k= 4k

then 4k=11

now to get rid of the 4 and get the k alone- you DIVIDE 4k by 4 and divide 11 by 4 cause you need to do it on both sides of the equation, it should look like this.

4k= 11

-   =  -

4      4

(4k over 4 and 11 over four)

so the answer is k = 2.75  cause 11/4 = 2.75