Answer: $200
Explanation:
The employee pays $172.50 and he got 25% employee discount.
If the cost is $100, he pays $(100 - 25) = $75.
So, employee pays =
100
75
⋅
172.50
= $230.00.
Again, price was increased by 15% last year. So whose cost is $100
is sold by $(100+15) = $115.
When sell price is $115, then cost price is $100. Then,
when sell price is $230, then cost price is
100
115
⋅
230
= $200.
Answer:
balls
Step-by-step explanation:
from both sides of the equation.
Answer:
Apply the distributive property.
6 ⋅ 5 + 6 (-3x) = -4 x - 12
Multiply
6 by 5 . 30 + 6 (-3 x) = - 4 x - 12
Multiply
− 3 by 6 . 30 - 18 x = - 4 x - 12
Add
4 x to both sides of the equation.
30 - 18 x + 4 x = - 12
Add
− 18 x and 4 x . 30 - 14 x = - 12
Subtract
30
from both sides of the equation.
- 14 x = - 12 - 30
Subtract
30 from
− 12 . - 14 x = - 42
x = 3
Step-by-step explanation:
Answer: Choice C
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
===========================================
Explanation:
When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so
f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5
f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5
f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5
Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.
The reason why we replace every x with -x is because of the examples mentioned below
-----------
Examples:
The point (1,2) moves to (-1,2) after a y axis reflection
Similarly, (-5,7) moves to (5,7) after a y axis reflection.
As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.
Y=3x
x-2
The correct answer is y=6
