20, 10 line segments each with 2 ends = 20
Answer:
3^x + 12x -4
Step-by-step explanation:
f(x) = 3^x + 10x
g(x) = 2x - 4,
(f + g)(x) = 3^x + 10x + 2x - 4
Combine like terms
= 3^x + 12x -4
Answer:
The integers are 4 and 7 or -2 and 1.
Step-by-step explanation:
You can make a system of equations with the description of the two integers.
1. x = y + 3
2. 2x + 2 = y^2
The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.
1. x = y + 3
2. 2(y + 3) + 2 = y^2
Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.
2y + 6 + 2 = y^2
y^2 - 2y - 8 = 0
You can factor this equation to solve for y.
(y - 4) (y + 2) = 0
y = 4, y = -2
Now we can substitute the value of y for x in the first equation.
x = 7, x = 1
Answer:
= - 
Step-by-step explanation:
Given
= 
( cross- multiply )
2(a - b) = 3(a + 2b) ← distribute parenthesis on both sides )
2a - 2b = 3a + 6b ( subtract 3a from both sides )
- a - 2b = 6b ( add 2b to both sides )
- a = 8b ( divide both sides by 8 )
- a = b ( divide both sides by a )
- =
