Answer:
x = 5
Step-by-step explanation:
From the picture attached,
If the lines u and v are parallel and a third line (transversal) is intersecting these lines at two distinct points,
Both the angles given in the picture, will be equal in measure as these angles are interior alternate angles.
16x = 15x + 5
16x - 15x = 5
x = 5
Therefore, x = 5 makes the lines v and u parallel.
Answer:
The inverse function is g(x) = ±
, x ≥ -12 ⇒ D
Step-by-step explanation:
* Lets explain how to find the inverse function
- The steps of find the inverse of function f(x)
# Write y = f(x)
# Switch x and y
# Solve to find the new y
* Lets solve the problem
∵ f(x) = 9x² - 12
- Do the steps above
- Put y = f(x)
∵ y = f(x)
∴ y = 9x² - 12
- Switch x and y
∴ x = 9y² - 12
- Add both sides by 12
∴ x + 12 = 9y²
- take √ for both side don't forget to put ± in-front of it
∴ ±
= 3y
- Divide both sides by 3
∴ y = ± 
∵ There is no square root for negative number
∴ x + 12 ≥ 0 ⇒ subtract 12 from both sides
∴ x ≥ -12
- The function is defined for all values of x greater than or equal -12
∴ The inverse function is g(x) = ±
, x ≥ -12
Answer:
2x³+8x²-3x-12
Step-by-step explanation:
It means function f times by function g.
so fg= (2x²-3)(x+4)=2x³+8x²-3x-12
There are 60 secs in every minute. 60 x 18 = 1080 seconds