Take an example y = 2^x The exponent is x.
when x = 1,2 and 3 y will be 2^1 = 2, 2^2 = 4 and 2^3 = 8
So the values of y grow very rapidly with base 2.
They would grow even more rapidly with higher bases.
if the base = 1 there would be no growth because 1 to any exponent still = 1.
1^2 = 1 , 1^1000 = 1 and so on.
Answer:
-6.
Step-by-step explanation:
if A(-4;-7) and B(-2;-19), then the required slope can be calculated according to the next formula:
![s=\frac{Y_A-Y_B}{X_A-X_B}; \ s=\frac{-7+19}{-4+2}=-6.](https://tex.z-dn.net/?f=s%3D%5Cfrac%7BY_A-Y_B%7D%7BX_A-X_B%7D%3B%20%5C%20s%3D%5Cfrac%7B-7%2B19%7D%7B-4%2B2%7D%3D-6.)
Answer: 3 lessons
Step-by-step explanation:
Matt starts swimming lessons on Day 5.
He then goes to swimming lessons every 10 days. The dates he went on lessons are therefore:
First lesson = Day 5
Second lesson = Day 5 + 10 days = Day 15
Third lesson = Day 15 + 10 days = Day 25
Fourth lesson = Day 25 + 10 days= Day 35
<em>He therefore only went for 3 lessons because the 4th lesson was after Day 30. </em>
Answer:u have to be missing something
Step-by-step explanation:
<h3>Answer:</h3>
![\dfrac{42x^2+137x-125}{7x^2+23x-20}](https://tex.z-dn.net/?f=%5Cdfrac%7B42x%5E2%2B137x-125%7D%7B7x%5E2%2B23x-20%7D)
<h3>Explanation:</h3>
You know that the sum of a number and a fraction is ...
... a + b/c = (ac +b)/c
Here, you have ...
... a = 6
... b = -(x+5)
... c = (7x-5)(x+4) = 7x² +23x -20
Then ...
... (ac +b)/c = (6(7x² +23x -20) -(x +5))/(7x² +23x -20)
... = (42x² +138x -120 -x -5)/(7x² +23x -20)
... = (42x² +137x -125)/(7x² +23x -20)