Answer: D. (x+5)/(x-3)
Step-by-step explanation:
Domain = Set of all input values of a function.
range = set of all output values of a function.
Given: Domain:
; range = 
We do not include a value for domain if it makes the expression indeterminant .
Since all the functions in options are fractions, here the denominator does not equal to 0.
But in option C and D, the denominator can be zero if x=3.
So , domain for then it 
Also, for option C if 
.which is not true.
Wher as in option D, 
Hence, Domain:
; range =
is for option D.
(A) Because the employer has already deducted 20% to the value of the money, 1,600 is already the 80%. If we let x be value before the deduction, the equation would be,
1,600 = 0.80x
The value of x is $2000.
(B) We multiply 1/5 by 1,600 giving us an answer of $320.
(C) As an original payment of $2000 be deducted by 8%, the new salary would be $1840. 20% of this value is $368. Therefore, his new paycheck next month will be $1472.2.
The correct answer is option C which is
.
<h3>What is a matrix?</h3>
Matrix is defined as the arrangement of the numbers variables and expressions in the table as rows and columns.
The multiplication of the matrix will be calculated as:-
M = ![\dfrac{1}{2}\left[\begin{array}{cc}12&64&\\78&30&\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D12%2664%26%5C%5C78%2630%26%5C%5C%5Cend%7Barray%7D%5Cright%5D)
M = ![\left[\begin{array}{cc}\dfrac{12}{2}&\dfrac{64}{2}&\\\dfrac{78}{2}&\dfrac{30}{2}&\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cdfrac%7B12%7D%7B2%7D%26%5Cdfrac%7B64%7D%7B2%7D%26%5C%5C%5Cdfrac%7B78%7D%7B2%7D%26%5Cdfrac%7B30%7D%7B2%7D%26%5C%5C%5Cend%7Barray%7D%5Cright%5D)
M =
.
Therefore the correct answer is option C which is
.
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Answer:
(At least) 10 centimeters.
Step-by-step explanation:
The radius of the ice cream scoop is 2.5 cm and the radius of the cone is also 2.5 cm.
We want to determine the height of the cone such that it will fit all of the ice cream when it melts without any spilling.
First, we will find the volume of the ice cream scoop. The volume for a sphere is given by:
Since the radius is 2.5 cm, the volume of the full ice cream scoop is:
The volume of a cone is given by:
The radius of the cone is 2.5 cm. Therefore:
The volume of the cone should be equal to the volume of the scoop. So.
The height of the cone should be (at least) 10 cm.
Answer:it means how much years or in a century which is 100 years hope it helps in someway ig idk
Step-by-step explanation: