Answer:
g[f(n)] = -8n+3
Step-by-step explanation:
Given,
g(n) = 2n + 5 , f(n) = -4n-1
Find g(f(n)),
Solutions,
g[f(n)] = g[-4n-1]
= 2(-4n-1) + 5
= -8n–2+5
g[f(n)] = -8n+3
Final Answer = g[f(n)] = -8n+3.
To find equivalent expressions, distribute the 7 into (-3/4x - 3)
7(-3/4x) = -21/4x, which simplified is -5 1/4x
7(-3) = -21
Put together, this is -5 1/4x - 21 (answer 1)
Another way to write an equivalent expression would be to not simplify 7 times the distributed term. You could write 7(-3/4) + 7(-3) which makes #5 correct as well. #5 is 7(-3/4x) - 7(3). If this was simplified, it would equal answer choice 1.
#2 is not correct because 7 times -3/4x does not equal -7 3/4x
#3 is not correct because -21/4 simplifies to -5 1/4, not -6 1/4
#4 is not correct because 7(-3) does not equal -4
21+(5f)=61
Subtract 21 to both sides of the equation
5f=40
Divide both sides by 5
f=8
The answer is 8
We are given the two equations:
(1) -x=29-14y
(2) -9x=-19+14y
Multiply (1) by 9:
-9x = 261 – 126y
Subtract the two equations:
-9x = 261 – 126y
-
-9x=-19 + 14y
0 = 280 – 140y
140y = 280
y = 2
From (1):
-x = 29 – 14 (2)
x = -1
Answers:
x = -1
y = 2