Answer:
4x^2+19x-5=(x+5)(4x -1)
Step-by-step explanation:
The given expression is 4x^2 + 19x - 5
The leading coefficient is 4 and last term is -5
Multiply them, we get -20
Now find the factors of -20 such that when you add the factors we have to get 19.
-1*20 = -20
20+ (-1) = 19
The right factors are -5 and 9.
4x^2 + 19x - 5 =4x^2 + 20x -1x - 5
= 4x(x + 5) -1(x + 5)
= (x + 5)(4x -1)
The missing factor is (4x -1)
Thank you.
Answer: the last option
Step-by-step explanation:
the top right is I, the top left is II, the bottom left is III, and the bottom right is IV
Recall the fundamental rule of trig:

So, there exists an angle
such that

if and only if

Working out the numbers, we get

So, there doesn't exist a number
such that

Answer:
37.5 percent
Step-by-step explanation:
Well, there are 25+15=40 total people. Since there are 15 children, the percent is 15/40, which is equal to .375
Because percent is by hundredths, multiply by 100 by moving the decimal to the right twice, and you have a percentage of 37.5.