Answer:
-6x (x + 1)(x - 1)
Explanation:
Before we begin, remember the following:
(-ve) * (-ve) = +ve
(-ve) * (+ve) = -ve
(+ve) * (+ve) = +ve
(+ve) * (-ve) = -ve
a² - b² = (a + b)(a - b)
Now, for the given:
(4x³ + 3x² - 6x) - (10x³ + 3x²)
First, we eill remove the brackets based on the rules mentioned above. This will give us:
4x³ + 3x² - 6x - 10x³ - 3x²
Now, we will combine like terms as follows:
(4-10)x³ + (3-3)x² - 6x
-6x³ - 6x
Taking -6x as a common factor:
-6x (x² - 1)
Factoring the bracket as difference between two squares will give us the final simplest form:
-6x (x + 1)(x - 1)
Hope this helps :)
Answer:
<u>h = 24 cm</u>
Step-by-step explanation:
The triangles are similar.
Their dimensions are proportional.
Finding scale factor :
Finding h :
- h + h/2 = 36
- 3h/2 = 36
- 3h = 72
- <u>h = 24 cm</u>
Answer:
the answer is $6520.02
Step-by-step explanation:
explanation linked as image
The composite function G(F(x)) = x² + 4 is formed with these following original functions:
D. F(x) = x² and G(x) = x + 4.
<h3>How to find the composite function of f(x) and g(x)?</h3>
The composite function of f(x) and g(x) is given as follows:
For g of f(x), we have that:
For this problem, we have that:
G(F(x)) = x² + 4.
Which is possible with option D, as:
More can be learned about composite functions at brainly.com/question/13502804
#SPJ1
Answer:
$448.76
$73.76
Step-by-step explanation:
We are to calculate the future value with monthly compounding
The formula for calculating future value:
FV = P (1 + r/m)^mn
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
$375 x ( 1 + 0.06/12)^12 x 3
$375 x (1.005)^36 = $448.76
Interest earned = future value - amount saved
$448.76 - $375 = $73.76
