Answer:
i dont know
Step-by-step explanation:
i dont know
1/4z + 8 = 12
1/4z = 12 - 8
1/4z = 4
z = 4 / (1/4)
z = 4 * 4/1
z = 16 <===
==================
-3(2n + 1) + 7 = -5
-6n - 3 + 7 = -5
-6n + 4 = -5
-6n = -5 - 4
-6n = -9
n = -9/-6
n = 3/2 <===
===================
2.5(t - 2) - 6 = 9
2.5t - 5 - 6 = 9
2.5t - 11 = 9
2.5t = 9 + 11
2.5t = 20
t = 20 / 2.5
t = 8 <===
Answer:
Im pretty sure the answer is true
Answer:
P(x) = x³ - 3x² - 5x + 15
Step-by-step explanation:
∵ The roots of the polynomial are -√5 , √5 , 3
∴ The polynomial has 3 factors:
(x - √5) , (x + √5) , (x - 3)
∴ P(x) = (x - √5)(x + √5)(x - 3)
= (x² + √5x - √5x - 5)(x - 3)
= (x² - 5)(x - 3) = x³ - 3x² - 5x + 15
∴ P(x) = x³ - 3x² - 5x + 15
By the Fundamental Theorem of Arithmetic, all number can be expressed as a product of prime numbers.
So naturally, lets divide 120 by an easy prime number.
We know that 120 is even, so lets try 2
120/2 = 60
lets keep dividing it by two until it becomes odd or prime
60/2 = 30
30/2 = 15
now lets see, what are some factors of 15?
Well the obvious ones are 3 and 5, both of which are prime. So now we can just count up how many times we divided it by 2
120/2 = 60
60/2 = 30
30/2 = 15
and 15 is just 3 x 5, so:
<span>
120=(<span>23</span>)×(3)×(5)</span>
or
<span><span>
120 = 2 × 2 × 2 × 3 × 5</span></span>
