Answer:
Angle 1: 168
Angle 2: 12
Explanation:
I did the math! basically, i did 168-156, and got 12. Then i added, 168+12, and got 180. So i know that both angles together make 180 degrees, which is the definition of supplementary angles.
Answer:
Slope is - 9, y-intercept is 7.
Step-by-step explanation:
f(x) = 3x - 5
g(x) = f(x+4) = 3(x+4) - 5= 3x + 12 - 5 = 3x + 7
h(x) = 3( - 3x) + 7 = - 9x + 7
h(x) = - 9x + 7
Slope of h(x) is - 9, y-intercept is 7.
Answer:
Step-by-step explanation:
We have been given that a discount store’s prices are 25% lower than department store prices. The function represents the cost (c), in dollars, of an item, where x is the department store price, in dollars.
We are also told that when the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. The function represents d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars.
We are supposed to find the function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month.
We can see that function d(c(x)) is a composite function. To get our composite function we just need to substitute function c(x) in function d(y).
After making the substitution we will get our desired function as,
Upon simplifying our function will be:
Therefore, the function represents the final price of an item when a costumer buys an item that has been in the discount store for a month.
Answer:
(-∞,0)
Step-by-step explanation:
The graph of ƒ(x) = |x| is below.
The function is decreasing on (-∞,0) .
A is wrong. The function both decreases and increases on (-∞,∞).
C is wrong. The function is decreasing on (-6,0), but that is only a portion of the interval.
D is wrong. the function is increasing on (o,∞)