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Anna007 [38]
3 years ago
13

Find the range of the function for the domain(-4,-2,0, 1.5,4).f(x) = 5x²+ 4​

Computers and Technology
1 answer:
Masja [62]3 years ago
4 0
<h2>Hello!</h2>

The answer is:

The range or output for the given domain is:

(84,24,4,15.25,84)

<h2>Why?</h2>

To find the range (output) for the given domain (inputs) we need to evaluate the given function with the given inputs or "x" values.

So, evaluating, we have:

- Range with "x" equal to -4:

f(x)=5x^{2} +4\\\\f(-4)=5*(-4)^{2} +4=5*16+4=84

- Range with "x" equal to -2:

f(x)=5x^{2} +4\\\\f(-2)=5*(-2)^{2} +4=4*5+4=24

- Range with "x" equal to 0:

f(x)=5x^{2} +4\\\\f(-2)=5*(0)^{2} +4=0+4=4

- Range with "x" equal to 1.5:

f(x)=5x^{2} +4\\\\f(-2)=5*(1.5)^{2} +4=11.25+4=15.25

- Range with "x" equal to 4:

f(x)=5x^{2} +4\\\\f(-2)=5*(4)^{2} +4=80+4=84

Hence, the range or output for the given domain is:

(84,24,4,15.25,84)

Have a nice day!

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What is 4365 −3412 when these values represent
Inessa [10]

The result of the subtraction of 4365 and 3412 using octal numbers is of:

753.

<h3>What are octal numbers?</h3>

For octal numbers, each number is represented by three bits, as follows:

  • 0 = 000.
  • 1 = 001.
  • 2 = 010.
  • 3 = 011.
  • 4 = 100.
  • 5 = 101.
  • 6 = 110.
  • 7 = 111.

Then the binary representation of number 4365 is given as follows:

100011110101

The binary representation of number 3412 is given as follows:

011100001010

Then the following binary subtraction is made:

100011110101 - 011100001010

The result of this subtraction is of:

100011110101 - 011100001010 = 111101011

Then the octal result is given as follows:

111 101 011 = 753.

More can be learned about binary numbers at brainly.com/question/8649831

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[20 pts] Write the function rectangle(perimeter, area), which takes two positive integers, perimeter and area. It returns an int
MrRissso [65]

Hi, you haven't provided the programing language in which you need the code, I'll explain how to do it using Python, and you can follow the same logic to make a program in the programing language that you need.

Answer:

import math

def rectangle(perimeter, area):

   l1_1 = (perimeter+math.sqrt((perimeter**2)-(16*area)))/4

   l1_2 = (perimeter-math.sqrt((perimeter**2)-(16*area)))/4

   l2_1 = area/l1_1

   l2_2 = area/l1_2

   print(l1_1,l2_1)

   print(l1_2,l2_2)

   if l1_1.is_integer() and l2_1.is_integer() and l1_1>0 and l2_1>0:

       return(int(max(l1_1,l2_1)))

   elif l1_2.is_integer() and l2_2.is_integer() and l1_2>0 and l2_2>0:

       return(int(max(l1_2,l2_2)))

   else:

       return(None)

Explanation:

  • We import math to make basic operations
  • We define the rectangle function that receives perimeter and area
  • We calculate one of the sides (l1_1) of the rectangle using the quadratic equation to solve 2h^2 - ph + 2a = 0
  • We calculate the second root of the quadratic equation for the same side (l1_2)
  • We calculate the second side of the rectangle using the first root on w = a/h
  • We calculate the second side of the rectangle using the second root on w= a/h
  • We verify that each component of the first result (l1_1, l2_1) is an integer (using the build-in method .is_integer) and greater than 0, if True we return the maximum value between them (using the max function) as w
  • If the first pair of sides evaluate to False we check the second root of the equation and if they meet the specification we return the max value
  • if all the if statements evaluate to false we return None to indicate that not positive or integer sides were found

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