George wants to increase the amount of push-ups that he can do each day by 2. He is already able to do 14 push-ups. The amount of push-ups George wants to do each day is given by the linear function f(x) = 2x + 12. Which explicit rule is equivalent to this linear function?

Explicit rule used is: f(n) = f(1) + (n - 1)d

Step-by-step explanation:

We are told he currently does 14 push ups per day.

Now, he wants to increase the push ups by 2 per day.

Now, the first term in the sequence of push ups is 14 while the constant difference is 2.

Now, the explicit rule to be used here is arithmetic progression whereby;

f(n) = f(1) + (n - 1)d

Where;

f(1) is first number in the sequence

d is constant difference

n is number of days

Thus, plugging in our values from the question, we have;

f(n) = 14 + (n - 1)2

f(n) = 14 + 2n - 2

f(n) = 2n + 12

This tallies with the linear function given in the question.

Thus; the explicit rule used here is;

f(n) = f(1) + (n - 1)d

the clues that signal the reader should change tone are the punctuation marks, the grammatical signs. for example, the quotation marks at the beginning of something someone else said literally or the exclamation marks.

the tone of the first line of dialogue until "gettysburg" is a kind tone, a tone of advise. the narrator is trying to the other person in doing something he or she obviously is finding hard to do by giving a piece of advise and bringing up a memory of a successful similar case.

the clue that the reader understand how to read the word "bang" is the exclamation mark. it gives the word a surprise tone, a strong accent.

the best tone for reading the word "bang" is an exciting tone, a surprise one, even a loud one.

the words that should be read with a formal tone are the ones that give factual information. the sentence: mister lincoln couldn't think of anything to say at the gettysburg" gives information about an event and it needs to be read formally, also, when the narrator wants to transmit calmness, a formal and slow tone is needed, because people also transmit messages with the vibrations of our voices and tones.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.