The mean of four consecutive even numbers is 15.
1 answer:
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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:
32 yards
Step-by-step explanation:
Carmen walked 30 yards due North and 12 yards West.
Now, if we join the initial and final position of Carmen and in this path Carmen comes back to her original position then the path, traveled by Carmen will form a right triangle and the direct path from her initial point to final point will be the hypotenuse of the right triangle.
Now, the two perpendicular legs of the triangle are respectively 30 yards and 12 yards.
Therefore, Carmen travel (Applying Pythagoras Theorem) to get back to her initial position by yards ≈ 32 yards (to the nearest yard). (Answer)