5^23 - 5^21 = 5^(21+2) - 5^21
5^23 - 5^21 = 5^21*5^2 - 5^21*1
5^23 - 5^21 = 5^21*(5^2 - 1)
5^23 - 5^21 = 5^21*(25 - 1)
5^23 - 5^21 = 5^21*24
5^23 - 5^21 = 24*5^21
5^23 - 5^21 = 24*k
The original number is in the form 24k where k = 5^21, so this proves that the original number is a multiple of 24
Answer:
C
Step-by-step explanation:
For f(x) to be odd then f(- x) = - f(x)
determine whether
9 - 4(- x)² is equivalent to - (9 - 4x²) → C
a is the beggining number and n is the amount of times needed to do this. if is 17 you would need to subtract 7 from the originol number 12 (a) that many times.
To find the average you add the two numbers together and divide it by two. answer being 59.5
The linear function which represents the line given by the point-slope equation is (B)
.
<h3>
What is a linear function?</h3>
- The word linear function in mathematics refers to two distinct but related concepts.
- A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
To find the linear function which represents the line given by the point-slope equation:
Given: 
Distribute the right side:

Adds 8 on both sides:

Convert to function notation:

Therefore, the linear function which represents the line given by the point-slope equation is (B)
.
Know more about linear functions here:
brainly.com/question/15602982
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The complete question is given below:
Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals start fraction one-half end fraction left-parenthesis x minus 4 right-parenthesis. (x – 4)?
A) F(x) = f(x) equals StartFraction one-half EndFraction x plus 4.X + 4
B) f(x) = f(x) equals StartFraction one-half EndFraction x plus 6.
C) X + 6 f(x) = f(x) equals StartFraction one-half EndFraction x minus 10.X –10
D) f(x) = f(x) equals StartFraction one-half EndFraction x minus 12.X – 12