06.04.2022

Which function will have a graph that decreases?

. 4

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Computers and Technology
Step-by-step answer
P Answered by PhD

Following are the code to this question:

#include <iostream>//defining header file  

using namespace std;    

bool rightTriangle(int s1,int s2,int s3) //defining method rightTriangle  

{

int t1,t2,t3; //defining integer variables

t1 = s1*s1; // multiplying side value and store it into declaring integer  variables

t2 = s2*s2; // multiplying side value and store it into declaring integer variables

t3 = s3*s3;  // multiplying side value and store it into declaring integer variables

if(t3 == t1+t2)//use if block to check Pythagoras theorem

{

return true; //return true

}

else //else block

{

return false; //return false

}

}

bool equalNums(int n1,int n2,int n3,int n4) //defining method equalNums  

{

if(n1==n3 && n2==n4) //defining if block that checks  

{

return true;//return value true  

}

else //else block  

{

return false; //return value false

}

}

int main()//defining main method

{  

int t1=3,t2=4,t3=5,t11=3,t12=4,t13=5; //declaring integer varibles and assign value  

int check=0;   //defining integer varible check that checks values

if(rightTriangle(t1,t2,t3)&&rightTriangle(t11,t12,t13)) //defining codition to check value using and gate

{

if(equalNums(t1,t3,t11,t13) || equalNums(t2,t3,t12,t13)) // defining conditions to check value using or gate

check = 1; //if both conditions are true

}

if(check==1) //if block to check value is equal to 1

{

cout << "Right Congruent Triangles"; //print message

}

else//else block

{

   cout << "Not Right Congruent Triangles";//print message

}

}

Output:

Right Congruent Triangles

Explanation:

In the above-given code, a boolean method "rightTriangle" is declared, in which it accepts three integer variable "s1, s2, and s3" as a parameter, inside the method three another variable "t1, t2, and t3" is declared, in which parameter stores its square value. In the next line, a conditional statement is declared that checks the "Pythagoras theorem" value and returns its value.   In the next step, another method "equalNums" is declared, that accepts four integer parameter "n1, n2, n3, and n4", inside the method a conditional statement is used that uses an operator to check n1, n3, and n2, n4 value if it is true it will return true value else it will return false. Inside the main method, integer variable and a check variable is defined that uses the if block to passes the value into the method and checks its return value is equal if all the value is true it will print the message "Right Congruent Triangles" else "Not Right Congruent Triangles".
Computers and Technology
Step-by-step answer
P Answered by PhD

Following are the code to this question:

#include <iostream>//defining header file  

using namespace std;    

bool rightTriangle(int s1,int s2,int s3) //defining method rightTriangle  

{

int t1,t2,t3; //defining integer variables

t1 = s1*s1; // multiplying side value and store it into declaring integer  variables

t2 = s2*s2; // multiplying side value and store it into declaring integer variables

t3 = s3*s3;  // multiplying side value and store it into declaring integer variables

if(t3 == t1+t2)//use if block to check Pythagoras theorem

{

return true; //return true

}

else //else block

{

return false; //return false

}

}

bool equalNums(int n1,int n2,int n3,int n4) //defining method equalNums  

{

if(n1==n3 && n2==n4) //defining if block that checks  

{

return true;//return value true  

}

else //else block  

{

return false; //return value false

}

}

int main()//defining main method

{  

int t1=3,t2=4,t3=5,t11=3,t12=4,t13=5; //declaring integer varibles and assign value  

int check=0;   //defining integer varible check that checks values

if(rightTriangle(t1,t2,t3)&&rightTriangle(t11,t12,t13)) //defining codition to check value using and gate

{

if(equalNums(t1,t3,t11,t13) || equalNums(t2,t3,t12,t13)) // defining conditions to check value using or gate

check = 1; //if both conditions are true

}

if(check==1) //if block to check value is equal to 1

{

cout << "Right Congruent Triangles"; //print message

}

else//else block

{

   cout << "Not Right Congruent Triangles";//print message

}

}

Output:

Right Congruent Triangles

Explanation:

In the above-given code, a boolean method "rightTriangle" is declared, in which it accepts three integer variable "s1, s2, and s3" as a parameter, inside the method three another variable "t1, t2, and t3" is declared, in which parameter stores its square value. In the next line, a conditional statement is declared that checks the "Pythagoras theorem" value and returns its value.   In the next step, another method "equalNums" is declared, that accepts four integer parameter "n1, n2, n3, and n4", inside the method a conditional statement is used that uses an operator to check n1, n3, and n2, n4 value if it is true it will return true value else it will return false. Inside the main method, integer variable and a check variable is defined that uses the if block to passes the value into the method and checks its return value is equal if all the value is true it will print the message "Right Congruent Triangles" else "Not Right Congruent Triangles".
Engineering
Step-by-step answer
P Answered by Specialist

See explaination

Explanation:

This function reverses the position

of the consonants keeping the

position of vowel constant.

Parameters:

data : type(str)

The string on which operation

needs to be performed

start : type(int)

Starting index of the string

end : type(int)

Ending index of the string

"""

def consonantReverse(data, start = 0, end = None):

# By default user will psas the data only.

# End will be none which will be set to length of string - 1

if(end == None):

return consonantReverse(data, 0, len(data)-1)

# return as this is invalid

if(start >= end):

return data

# split the data into list

if type(data)== str:

data = list(data)

# initialize index1 and index2

index1 = len(data)

index2 = -1

# find out the first index from beggining

# where consonant is present

for i in range(start, end+1):

if(data[i] not in ['a','e','i','o','u','A','E','I','O','U']):

index1 = i

break

# find out the index from the end

# where consonant is present

for i in range(end, start-1, -1):

if(data[i] not in ['a','e','i','o','u','A','E','I','O','U']):

index2 = i

break

# return as this is not valid case

if(index1 >= index2):

return ''.join(data)

# swap the data in the two index

data[index1], data[index2] = data[index2], data[index1]

# call the function recursively

data = consonantReverse(data, index1+1, index2-1)

# if it is a list, join the list into string

if(type(data) == list):

return ''.join(data)

# otherwise return the data

else:

return data

Engineering
Step-by-step answer
P Answered by Specialist

See explaination

Explanation:

This function reverses the position

of the consonants keeping the

position of vowel constant.

Parameters:

data : type(str)

The string on which operation

needs to be performed

start : type(int)

Starting index of the string

end : type(int)

Ending index of the string

"""

def consonantReverse(data, start = 0, end = None):

# By default user will psas the data only.

# End will be none which will be set to length of string - 1

if(end == None):

return consonantReverse(data, 0, len(data)-1)

# return as this is invalid

if(start >= end):

return data

# split the data into list

if type(data)== str:

data = list(data)

# initialize index1 and index2

index1 = len(data)

index2 = -1

# find out the first index from beggining

# where consonant is present

for i in range(start, end+1):

if(data[i] not in ['a','e','i','o','u','A','E','I','O','U']):

index1 = i

break

# find out the index from the end

# where consonant is present

for i in range(end, start-1, -1):

if(data[i] not in ['a','e','i','o','u','A','E','I','O','U']):

index2 = i

break

# return as this is not valid case

if(index1 >= index2):

return ''.join(data)

# swap the data in the two index

data[index1], data[index2] = data[index2], data[index1]

# call the function recursively

data = consonantReverse(data, index1+1, index2-1)

# if it is a list, join the list into string

if(type(data) == list):

return ''.join(data)

# otherwise return the data

else:

return data

Mathematics
Step-by-step answer
P Answered by PhD

Option D.

Step-by-step explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

or

The y-intercept is the value of the function (output) when the value of x=0

In this problem

The output of the function P for x=0 is equal to 5  

The output of the function Q for x=0 is equal to 4  

therefore

The functions will have different outputs when x=0

Mathematics
Step-by-step answer
P Answered by Master

Part A

1. Third degree polynomial:  f(x) = ax^3 + bx^2 + cx + d

The function can have as many as 3 zeroes only, but it can have 4 intercepts if you include the y-intercept.

2.  g(x) = (x + 2)(x - 1)(x - 2) =x^3-x^2-4x+4

Zeroes at: x = -2, x = 1 and x = 2

y-intercept at (0, 4)

End behavior:

x \rightarrow-\infty, f(x) \rightarrow-\infty\\\\x \rightarrow\infty, f(x) \rightarrow\infty

3. see attached

Part B

4. f(x)=(x-2)(x-5)=x^2-7x+10

Direction: opens upwards

y-intercept: (0, 10)

zeros: x = 2, x = 5

5. see attached

**unfortunately I am unable to answer any additional questions as has a 5-question rule**


Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get
Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get
Mathematics
Step-by-step answer
P Answered by PhD

Option D.

Step-by-step explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

or

The y-intercept is the value of the function (output) when the value of x=0

In this problem

The output of the function P for x=0 is equal to 5  

The output of the function Q for x=0 is equal to 4  

therefore

The functions will have different outputs when x=0

Mathematics
Step-by-step answer
P Answered by Master

See below.

Step-by-step explanation:

Part A

A 3rd degree polynomial can have no more than 3 x-intercepts or zeros. Kelsey is correct. However, Ray stated it had 4 intercepts which can include 3 x-intercept and 1 y-intercept.

Graph the function g(x) = x3 − x2 − 4x + 4. See attached picture.

It has x-intercepts at (-2,0), (1,0) and (2,0). The y-intercept is (0,4). As x-> -∞ then y -> -∞. As x->∞, y->∞.

Part B

Use the quadratic function f(x) = -x^2 - 6x. The parabola faces downward with y -intercept (-3,9) and zeros (-6,0) and (0,0). See the attached graph.

The axis of symmetry will serve as a ladder through the coaster at x = -3.

Part C and D will need to be using the math above to create the coaster and ad campaign.


Roller coaster crewray and kelsey have summer internships at an engineering firm. as part of their i
Roller coaster crewray and kelsey have summer internships at an engineering firm. as part of their i
Mathematics
Step-by-step answer
P Answered by Specialist

See below.

Step-by-step explanation:

Part A

A 3rd degree polynomial can have no more than 3 x-intercepts or zeros. Kelsey is correct. However, Ray stated it had 4 intercepts which can include 3 x-intercept and 1 y-intercept.

Graph the function g(x) = x3 − x2 − 4x + 4. See attached picture.

It has x-intercepts at (-2,0), (1,0) and (2,0). The y-intercept is (0,4). As x-> -∞ then y -> -∞. As x->∞, y->∞.

Part B

Use the quadratic function f(x) = -x^2 - 6x. The parabola faces downward with y -intercept (-3,9) and zeros (-6,0) and (0,0). See the attached graph.

The axis of symmetry will serve as a ladder through the coaster at x = -3.

Part C and D will need to be using the math above to create the coaster and ad campaign.


Roller coaster crew ray and kelsey have summer internships at an engineering firm. as part of their
Roller coaster crew ray and kelsey have summer internships at an engineering firm. as part of their

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