Answer:
theres is not table shown
Step-by-step explanation:
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:
Perpendicular
Step-by-step explanation:
[1] We need to find the slopes of both lines! First, we will put them into standard form and then solve.
Standard form: y=mx+b
(1) 10x + 2y = 4
(subtract 10x from both sides)
2y = -10x + 4
(divide both sides by 2)
y = 5x+2
The slope is 5
(2) 5y - x = -5
(add x to both sides)
5y = x - 5
(divide both sides by 5)
y =
x - 1
The slope is one-fifth
[2] Then, we need to determine if they are parallel, perpendicluar, or neither.
- If they are parallel they will have the same slope
- If they are perpendicular they will have exact opposite slopes
() Line 1 has a slope of 5 and line two has a slope of one-fifth. These are exact opposites so the lines are perpendicular.
(I hope this is correct and helped, have a nice day!)
The empty cells in the table by determining all terms, constants, and coefficients for both algebraic expressions will be:
- Constant = -3
- Coefficient = -4, -5
<h3>How to illustrate the information?</h3>
In the first expression, the equation is given as 4a² - 5a - 3 while in the second expression, the equation is given as 7(-3x + 5) + 11y.
In this second expression, the term is 7(3x + 5), 11y. The constants are -7 and 5. Lastly, the coefficients are -3, and 11.
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