49 would be in the next space after 42 because this sequence is counting by 7s
3(2t+5)=5t+25
Multiply the bracket with 3
(3)(2t)(3)(5)=5t+25
6t+15=5t+25
Move 5t to the other side. Sign changes from +5t to -5t
6t-5t+15=5t-5t+25
6t-5t+15=25
Move +15 to the other side. Sign changes from +15 to -15
6t-5t+15-15=25-15
6t-5t=10
1t=10
divide by 1
1/1t=10/t
t=10
Answer: t=10
Number of angles = number of sides
180 - 120 = 60 (calculating the exterior angle)
360 / 60 = 6
There are 6 sides.
Hope this helps! :)
12 + 6x + 6x + 6y = 12 + 12x + 6y
Answer:
f(g(x)) = x
Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other.
Now for the given functions we have:
<span>f(x) =5x-25
</span><span>g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5(</span>(1/5)x+5) - 25
= x + 25 - 25
= x
The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)
Hope this helps :)
