Answer:
3(x + 2)(2x - 5)
Step-by-step explanation:
Given
6x² - 3x - 30 ← factor out 3 from each term
= 3(2x² - x - 10) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 10 = - 20 and sum = - 1
The factors are + 4 and - 5
Use these factors to split the x- term
2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )
= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term
= (x + 2)(2x - 5), thus
2x² - x - 10 = (x + 2)(2x - 5) and
6x² - 3x - 30
= 3(x + 2)(2x - 5) ← in factored form
Answer:
x ≤ 8
Step-by-step explanation:
Given
2x - 4 ≤ 12
Isolate the term in x by adding 4 to both sides
2x ≤ 16 ( divide both sides by 2 )
x ≤ 8 ← is the solution
Answer:
2
Step-by-step explanation:
What is the unit rate of 25/11?
25/11
25 ÷ 11 ≈ 2.27
2.27/11
<span>25/11 unit rate it 2.27/1, or 2.27
per 1.</span>
Answer: $ 3462.03
Step-by-step explanation:
The exponential equation for growth (compounded continuously) is given by :-
, where P= Present value
r= growth rate ( in decimal)
t= time
As per given , we have
P=$1900, r = 6% =0.06 and t= 10
Substitute all the values in the above equation , we get
[To the nearest cent]
Hence, the balance in the account after 10 years = $ 3462.03
