If a function f(x) has an inverse f ⁻¹(x), then by definition
Differentiating both sides with respect to x yields
Now, if f(a) = b and b = f ⁻¹(a), then
Answer:
672
Step-by-step explanation:
If we call the number of non-fiction books as x, the number of fiction books would be 3x. Therefore: we can write the following equation:
3x - 120 = 2(x - 24) ← the 3x - 120 and x - 24 represents the new number of books
3x - 120 = 2x - 48
x - 120 = 48
x = 168 which means 3x = 3 * 168 = 504, therefore the total number of books is 168 + 504 = 672.
Newton's law of gravitation says that the force due to gravitation between two objects with masses m₁ and m₁ is given by the formula
Where r is the distance between the objects, and G is the gravitational constant (about 6.674×10⁻¹¹ m³⋅kg⁻¹⋅s⁻²)
Answer:85%
Step-by-step explanation:
51 is what percent of 60 is equal to (51 / 60) x 100 = 85%. So if you buy an item at $60 with $51 discounts, you will pay $9 and get 85% discount cashback rewards. So 51 out of 60 as a percentage is 85%
1. And the meeting house windows, blank and bare, / Gaze at him with a spectral glare.
This is a <em>couplet</em>. You can tell this because there are two lines, a couple, as indicated by the slash between the phrases, as well as the end words rhyming.
2. A glimmer, and then a gleam of light / He springs to the saddle, the bridle he turns / But lingers and gazes, till full on his sight / A second lamp in the belfry burns.
This excerpt, I believe, is meant to highlight the <em>end rhymes</em>. You see, in the first and third lines, the last words rhyme, and the second and fourth lines' last words rhyme.
3. ...the Mystic meeting...
Seeing as how this is so incredibly short, and both "mystic" and "meeting" start with an "m", it is safe to assume that this is meant to highlight an <em>alliteration</em>. An alliteration is when two or more words in a row start with the same letter. A famous alliteration is in the tongue twister, "she sells seashells by the sea shore."
4. ...like a sentinel's thread / The watchful night wind...
This is a <em>simile</em>. Both similes and metaphors compare one thing to something generally more abstract in order to describe it better. In order to tell if something is a simile or a metaphor is to look for the words "like" or "as," because those are used in similes, but not metaphors. Since this uses the word "like," it is safe to assume that this is a simile.