Find the perimeter of the square be sure to write the correct unit in your answer ​

The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

y-y1/y2-y1 = x-x1/x2-x1

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

learn more on function:

https://brainly.com/question/2412552

#SPJ1

Answer:

Step-by-step explanation:

its 123 jd

The surface area of a three dimensional shape is the total area of all of the faces. To find the surface area of a shape, we find the area of each face and add them together. E.g. The measurements here are in centimetres so the surface area is measured in square centimetres ( c m 2 ) (cm^2) (cm2).

Explanation, step-by-step

You would need two angles to know the lines are parallel

Any options to pick from?

Most pens are about 13-14 cm or approx 5.5 inches.

Step-by-step explanation:

Answer and Explanation:

The set contains 13 elements here, so the total number of subsets can be calculated as 213=8192 2 13 = 8192 .

The measure of the angles is c = 37. 5 degrees

d = 15 + 37.5 = 52. 5 degrees

To determine the value, we need to know what complementary angles are;

Complementary angles are defined as pair of angles whose sum is equal to 90 degrees

From the information given, we have that;

Angle c and d are both complementary angles

Also, the measure of angle d is 15 degrees greater than the measure of angle c

Then, we have;

d = 15 + c

Substitute the values

c + 15 +c = 90

collect like terms

2c = 90 - 15

2c = 75

Divide both sides by the coefficient

c = 37. 5 degrees

Substitute the value for angles d

d = 15 + 37.5 = 52. 5 degrees

Learn about complementary angles at: https://brainly.com/question/98924

#SPJ1

There are three dots above the greatest height.

We have,

The greatest height is 75

The smallest height is 62

Now,

We can make a line plot as:

*                                       *

*         *         *        *         *

*         *         *        *         *    

62     66     68     72     75

Thus,

There are three dots above the greatest height.

Learn more about line plots here:

https://brainly.com/question/29573088

#SPJ1

Answer:

23x+250 and that would equal your total cost

The intervals on f(x) is increasing on (-∞, 0) and (8/3, ∞), and decreasing on (0, 8/3).

The intervals on which the function f(x) = x³ − 4x² + 10 is increasing or decreasing need to find its derivative and determine its sign.

f(x) = x³ − 4x² + 10

f'(x) = 3x² − 8x

The critical points we set f'(x) = 0 and solve for x:

3x² − 8x = 0

x(3x − 8) = 0

x = 0 or x = 8/3

These are the critical points of the function.

Now we can determine the sign of f'(x) in each interval:

Interval (-∞, 0):

Choose x = -1. f'(-1)

= 3(-1)² - 8(-1)

= 11 is positive.

So f(x) is increasing on (-∞, 0).

Interval (0, 8/3):

Choose x = 1. f'(1) = 3(1)² - 8(1)

= -5 is negative.

So f(x) is decreasing on (0, 8/3).

Interval (8/3, ∞):

Choose x = 3. f'(3) = 3(3)² - 8(3)

= 19 is positive.

So f(x) is increasing on (8/3, ∞).

For similar questions on intervals

https://brainly.com/question/30354015

#SPJ11

The function pairs that are inverses are:

C) f(x) = 5x - 3 and g(x) = (x + 3)/5

To determine if two functions are inverses, we need to check if applying one function and then the other function will return the original input.

Let's go through each option:

A) f(x) = -2x and g(x) = (1/2)x

To check if they are inverses, we can apply function f(g(x)) and see if it returns x:

f(g(x)) = f((1/2)x) = -2(1/2)x = -x

Since f(g(x)) = -x ≠ x, these functions are not inverses.

B) f(x) = 4x² and g(x) = √x

To check if they are inverses, we can apply function f(g(x)) and see if it returns x:

f(g(x)) = f(√x) = 4(√x)² = 4x

Since f(g(x)) = 4x = x, these functions are not inverses.

C) f(x) = 5x - 3 and g(x) = (x + 3)/5

To check if they are inverses, we can apply function f(g(x)) and see if it returns x:

f(g(x)) = f((x + 3)/5) = 5((x + 3)/5) - 3 = x + 3 - 3 = x

Since f(g(x)) = x, these functions are inverses.

D) f(x) = x² - 16 and g(x) = x - 4

To check if they are inverses, we can apply function f(g(x)) and see if it returns x:

f(g(x)) = f(x - 4) = (x - 4)² - 16 = x² - 8x + 16 - 16 = x² - 8x

Since f(g(x)) = x² - 8x ≠ x, these functions are not inverses.

Based on the analysis above, the function pairs that are inverses are:

C) f(x) = 5x - 3 and g(x) = (x + 3)/5

To learn more about the composite function;

https://brainly.com/question/29048585

#SPJ1

The complete question:

Which of the following function pairs are inverses?

A) f(r) = -2x and g(x) = (1/2)x

B) f() = 4x² and g(x) = √x.

C) f(x) = 5x - 3 and g(x) = (x + 3)/5

D) f(x) =x² - 16 and g(x) = x - 4

Answer:

x=3

Step-by-step explanation:

1.25/5.00=2/8=x/12=1/4

12=x×4

x=12÷4

x=3

The graph of the functions f(x) and g(x) is given below.

Given that:

Function, f(x) = x³

Translated function, g(x) = (x + 6)³

If the function is translated by 'h' units horizontally and 'k' units vertically, then x and y are replaced with (x - h) and (y - k), respectively.

The curve of the function g(x) is translated left side by 6 units.

The graph of the functions is given below.

More about the transformation of the function link is given below.

https://brainly.com/question/13810353

#SPJ1

The line of the best fit that models the data is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The graph

To draw a line to model the data is to draw the line of best fit

A good line of best fit would have equal number of points on either sides

To plot the graph, we draw a line that divides the points on the graph evenly

This line when drawn on the scattered points divided the points approximately evenly

Hence, the line of the model is attached

Read more about line of best fit at

brainly.com/question/1441182

#SPJ1

Answer:

-14 = k

Step-by-step explanation:

44 = k+58

Subtract 58 from each side.

44-58 = k+58-58

-14 = k

Answer:

6.6 x 10^6

Step-by-step explanation:

Answer:

f(x) = x^2 - 5x + 6

f'(x) = 2x - 5

Since the slope of h(x) is 1/3, the slope of the tangent line to f(x) will have slope -3.

2x - 5 = -3

2x = 2, so x = 1

The area of the triangular figure is 16 m²

The area of a triangle is given by A = 1/2bh where

Given the figure below, we see that it is two triangles with height, h = 2 m and base, b = 8 m.

Since the area of each triangle is A = 1/2bh, and the area of both triangles are the same, then the area of both triangles is A" = A + A

= 2A

= 2(1/2bh)

= bh

Substituting the values of the variables into the equation, we have that

A" = bh

= 8 m × 2 m

= 16 m²

The area is 16 m²

Learn more about area of triangle here:

https://brainly.com/question/28470545

#SPJ1

Answer:

A. Point estimates are used to make inferences about population parameters.

Answer: 12.1

Step-by-step explanation: rounding 12.083 to the nearest tenth will leave you with- 12.1

hope this helps!

Answer: The last one is the right one

Step-by-step explanation:

So first solve for n

1/2n+3<5

1/2n<2, multiple by 2 on both sides to remove fraction

n<4

the circle will be at 4, and since n<4, n is less than 4, so your line must also be less that 4.

The quartiles of rainfall in April for the city are:

The quartiles refers to the e values that split sorted data into four parts each with an equal number of observations

To determine quartiles, we first need to sort the data in ascending order which are:

[tex]0.76, 1.08, 1.32, 1.55, 1.83, 2.09, 2.57, 2.83, 3.01, 3.25,\\3.63, 3.78, 4.09, 4.32, 4.64, 4.93, 5.23, 5.34, 5.44, 5.73[/tex]

There are 20 data points, so, median (Q2) will be the average of the 10th and 11th values.

Q2 = (3.25 + 3.63) / 2

Q2 = 3.44.

Q1 = (1.83 + 2.09) / 2

Q1 = 1.96.

Q3 = (4.64 + 4.93) / 2

Q3 = 4.79.

Read more about quartiles

brainly.com/question/28169373

#SPJ1

Answer:Set up a proportion, letting = the amount of cubic millimeters in 1,000 cubic centimeters. Solve for : 1,000,000 cubic millimeters are in 1,000 cubic centimeters.

The graph of g(x) will have the same shape as f(x), but every y-coordinate will be increased by 4 units,The graph of h(x) will have the same shape as f(x), but every x-coordinate will be decreased by 1 unit,The graph of k(x) is 20 and every y-coordinate is increased by 10 units and the graph of m(x) is horizontally squeezed.

To describe the graphs of the given functions, let's first analyze the effects of the transformations applied to the original function f(x) = 5 sin(x).

1. g(x) = 5 sin(x) + 4:

The function g(x) is obtained by vertically shifting the graph of f(x) by 4 units upward. This means that the graph of g(x) will have the same shape as f(x), but every y-coordinate will be increased by 4 units.

2. h(x) = 5 sin(x + 1):

The function h(x) is obtained by horizontally shifting the graph of f(x) to the left by 1 unit. This means that the graph of h(x) will have the same shape as f(x), but every x-coordinate will be decreased by 1 unit. The period of the function remains the same.

3. k(x) = 20 sin(x) + 10:

The function k(x) is obtained by vertically stretching the graph of f(x) by a factor of 20 and then shifting it 10 units upward. This means that the amplitude of the graph of k(x) is 20 (compared to the amplitude of 5 in f(x)), and every y-coordinate is increased by 10 units.

4. m(x) = 5 sin(4x - 1):

The function m(x) is obtained by compressing the graph of f(x) horizontally by a factor of 4, reflecting it across the y-axis, and shifting it 1 unit to the right. This means that the period of m(x) is 1/4 of the period of f(x), and the graph is horizontally squeezed. The reflection across the y-axis means that the graph of m(x) will be inverted compared to f(x). The amplitude remains the same.

Remember that the graph of the original function f(x) = 5 sin(x) represents a sine wave with an amplitude of 5 and a period of 2π. Applying the transformations described above will modify the position, scale, and shape of the graph, resulting in the respective graphs for each function g(x), h(x), k(x), and m(x).

For more such questions on graph,click on

https://brainly.com/question/19040584

#SPJ8  

Answer: Infinity

Step-by-step explanation: Since 0 doesn't have a measurable amount of times it can go into 28 the answer is infinity.