Answer:
(2 x + 3) (2 x + 9)
Step-by-step explanation:
Factor the following:
4 x^2 + 24 x + 27
Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):
9 (2 x + 3) + 2 x (2 x + 3)
Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):
Answer: (2 x + 3) (2 x + 9)
Answer:
they both has 7 slides and the presentation had a duration of 28 seconds
Step-by-step explanation:
we have to setup equation that makes them equal to each other if you know what i mean. 2x+16=3x+10
then we just solve for x
2x+16=3x+10
subtract 10 from each side
2x+6=3x
step 2 subtract 2x from each side
x=6
so both of their presentations are 7 slides long
then to find the length of their presentations we just plug in 6 to one of the equations
2(6)+16
2x6=12 12+16=28 so both of their presentations were 28 seconds
Answer:
the answer is -3
Step-by-step explanation:
1. add the -4 to 10 (-10 + 4)
2. -6= 2a
3. divide both sides by 2
4. -3= a
hope this helps
Answer:
A.) The graph of g(x) is the graph of f(x) expanded vertically by a factor of 2, and translated 6 unit(s) up.
Step-by-step explanation:
For vertical expansion by a scale factor of k, the graph of f(x) is transformed to ...
g(x) = k·f(x)
For translation up by k units, f(x) is transformed to ...
g(x) = f(x) +k
___
Comparing the following ...
f(x) = log(x)
g(x) = 2·log(x) +6
We see that a multiplication factor and an addition factor have been applied. That means ...
g(x) is f(x) expanded vertically by a factor of 2, and translated up 6 units.
