The sale price of the coats is 160% of the purchase price of the coats.
<u>Step-by-step explanation:</u>
The owner buys the coats at a purchase price= $60
He sells the coats for a selling price= $96
Now, the question is:
The selling price $96 is what percentage of the purchase price $60
<u>step 1</u>: 96= x% of 60
<u>step 2</u>: 96= (x/100)*60
<u>step 3</u>: 96= 6x/10
<u>step 4</u>: 960/6 = x
<u>step 5</u>: x = 160%
Assuming that the inequality you were going for was a ≤, set both polynomials less than or equal to 0.
x - 3 ≤ 0
x + 5 ≤ 0
For the first equation add 3 to both sides of the inequality. For the second, subtract 5 from both sides.
x ≤ 3
x ≤ - 5
These would be your solutions I guess, however, if you want to expand upon that, your actual answer is (- ∞, - 5] because if you were to plot these two inequalities on a number line, that is where the overlap would occur.
Answer:
A. (3,1)
B. g(x)=|x-3|+6
C. h(x)=-|x-3|-6
Step-by-step explanation:
A. To graph the absolute value function f(x) = |x - 3| + 1, first graph the parent absolute value function y=|x| and then translate it 3 units to the right and 1 unit up (see green graph in attached diagram). The vertex of the function f(x) is at point (3,1).
B. The function g(x) translates f(x) 5 units up, so its equation is
g(x)=f(x)+5
g(x)=|x-3|+1+5
g(x)=|x-3|+6
Blue graph in attached diagram.
C. The function h(x) reflects g(x) over the x-axis, so the equation of the function h(x) is
h(x)=-g(x)
h(x)=-(|x-3|+6)
h(x)=-|x-3|-6
Red graph in attached diagram.
Answer: i don't see the problem
Step-by-step explanation:
