Answer:
see explanation
Step-by-step explanation:
Assuming you are factoring the expression
Given
4y² + 26y + 30 ← factor out 2 from each term
= 2(2y² + 13y + 15) ← factor the quadratic
Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term.
product = 2 × 15 = 30 and sum = 13
the factors are 10 and 3
Use these factors to split the y- term
2y² + 10y + 3y + 15 ( factor the first/second and third/fourth terms )
= 2y(y + 5) + 3(y + 5) ← factor out (y + 5) from each term
= (y + 5)(2y + 3)
Thus
4y² + 26y + 30
= 2(y + 5)(2y + 3)
Answer:
75 times.
Step-by-step explanation:
Well there are 12 months and 3 of them start with the letter J, so theoretically, 25% of the months chosen will start with the letter J because
, which is 25%. 25% of 300 (or
, for those who like fractions) is 75, so theoretically, we can expect a month that starts with the letter J 75 times.
Hope this helps!
<em>P.S: </em><u><em>Please mark me as brainliest!</em></u>
The average rate of change of a function f(x) in an interval, a < x < b is given by

Given q(x) = (x + 3)^2
1.) The average rate of change of q(x) in the interval -6 ≤ x ≤ -4 is given by

2.) The average rate of change of q(x) in the interval -3 ≤ x ≤ 0 is given by

3.) The average rate of change of q(x) in the interval -6 ≤ x ≤ -3 is given by

4.) The average rate of change of q(x) in the interval -3 ≤ x ≤ -2 is given by

5.) The average rate of change of q(x) in the interval -4 ≤ x ≤ -3 is given by

6.) The average rate of change of q(x) in the interval -6 ≤ x ≤ 0 is given by
Answer:
60.0 L
Step-by-step explanation:
Ideal gas law:
PV = nRT
where P is absolute pressure,
V is volume,
n is number of moles,
R is gas constant,
and T is absolute temperature.
Since n and R don't change:
P₁V₁ / T₁ = P₂V₂ / T₂
(1.08 atm) (50.0 L) / (25 + 273.15 K) = (0.855 atm) V / (10 + 273.15 K)
V = 60.0 L
I had these options :
<span>
f(x) = x12
f(x) = log12x
f(x) = 12x
f(x) = logx12
</span>my answer is <span> f(x)=log 2x.</span><span>
</span>