Answer:
x=2, x=-1
Step-by-step explanation:
f(x) = x^2 − x − 2
Set equal to zero
0 = x^2 − x − 2
Factor
What 2 numbers multiply to -2 and add to -1
-2*1 = -2
-2+1 =1
0=(x-2) (x+1)
Using the zero product property
x-2 =0 x+1 =0
x=2 x=-1
Answer:
Step-by-step explanation:
Part A:
Given that the mattress is sold for 50% off of the retail price, let the retail price of the mattress be x, then
50% of x = 1200
⇒ 0.5x = 1200
⇒ x = 1200 / 0.5 = 2400
Therefore, the retail price of the mattress, before the discount is $2,400.
Part B:
Given that the store marks up the retail price to 150% of the wholesale price. Let the whole sale price be p, then
(100% + 150%) of p = 2400
250% of p = 2400
2.5p = 2400
p = 2400 / 2.5 = 960.
Therefore, the wholesale price, before the markup was $960
This function is consist of two subfunction with different domains.
f(-1) means x= -1 ≤ 1 and we will use subfunction -x+2 => f(-1)=-(-1)+2= 1=2=3
f(3) means x=3 > 1 and we will use subfunction x∧2-4x+6 =>
f(3)= 3∧2-4*3+6= 9-12+6=3
Good luck!!!
Answer: 160
Step-by-step explanation:
So first you start by making the percent which is 20 a decimal (.20) . Then , you multiplu .20 by 800 and get 160 , or if you know 10% is 80 2 times that would be 20 percent . And 80 plus 80 is 160 .
Answer:
a.) 3.236 or -1.236
Step-by-step explanation:
Used an online calculator for this answer...
Using the Quadratic Formula where
The discriminant b^2−4ac > 0
so, there are two real roots.
Simplify the radical...
This simplifies to...
