Answer:
- 5(x - 4)(x + 4)
Step-by-step explanation:
Given
- 5x² + 80 ← factor out - 5 from each term
= - 5(x² - 16) ← x² - 16 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x² - 16 = x² - 4² = (x - 4)(x + 4)
Thus
- 5x² + 80 = - 5(x - 4)(x + 4) ← in factored form
Answer:
Invertible functions
Step-by-step explanation:
An inverse of a function is one that reverses the operation of the function such that the result of the function on a variable, is reversed back to the initial variable
Therefore, when we have the the result of the function, f on x as y given as follows;
f(x) = y
The inverse of the function, g on the result, y gives the initial variable, x as follows;
g(y) = x
Example of invertible functions includes;
f(x) = x²
An example of a non-invertible function includes;
f(x) = 2·x².
Answer: William will pay $ 330.76 more interest than Shani at the end of 3 years.
Step-by-step explanation:
Compound interest = 
<em> , </em>P= principal , r= rate of interest , t= time
Given: P = $5000 , t= 3 years
For Shani , r= 4% = 0.04
Compound interest = 
For William, r= 6%= 0.06
Compound interest = 
Difference = $ ( 955.08- 624.32)
= $ 330.76
Hence, William will pay $ 330.76 more interest than Shani at the end of 3 years.
4^4 * 4^3
------------
4^5
= 4^7 / 4^5
= 4^(7-5)
= 4^2 = 16 Answer
Answer:3.1875
Step-by-step explanation: Simplifying
-3 + 8 + -8(7 + -2a) = 0
-3 + 8 + (7 * -8 + -2a * -8) = 0
-3 + 8 + (-56 + 16a) = 0
Combine like terms: -3 + 8 = 5
5 + -56 + 16a = 0
Combine like terms: 5 + -56 = -51
-51 + 16a = 0
Solving
-51 + 16a = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '51' to each side of the equation.
-51 + 51 + 16a = 0 + 51
Combine like terms: -51 + 51 = 0
0 + 16a = 0 + 51
16a = 0 + 51
Combine like terms: 0 + 51 = 51
16a = 51
Divide each side by '16'.
a = 3.1875
Simplifying
a = 3.1875
