Answer:
Step-by-step explanation:one of all
1) given x^4 + 95x^2 - 500
2) split in two factors with common factor term x^2: (x^2 + )(x^2 - )
3) find two numbers that add up 95 and their product is - 500:
=> 100*(-5) = - 500 and 100 - 5 = 95
=> (x^2 + 100)(x^2 - 5)
4) factor x^2 - 5 = (x + √5) (x - √5)
5) write the prime factors: (x^2 + 100) (x + √5) (x -√5)
6) find the solutions:
x^2 + 100 = 0 => not possible
x + √5 = 0 => x = - √5
x - √5 = 0 => x = √5
Answer: x = √5 and x = - √5
6000 - 1800 = 4200
4200/4 = 1050
so she donated 25% to charity
Answer: y = -2x + 16
Explanation:
Use point slope form:
(y1 - y) = m(x1 - x)
y1 = 6 and x1 = 5 and m = -2
6 - y = -2(5 - x)
6 - y = -10 + 2x
-y = 2x - 10 - 6
-y = 2x - 16
y = -2x + 16
Answer:
Mark up = 33.33%
Step-by-step explanation:
Given that:
buying price = $75
selling price = $100
First we will find the difference between two prices:
Difference = 100 - 75 = $25
We will find now that 25 is what percent of 75 so:
=25/75* 100
= 0.333333 * 100
= 33.33%
So the store marked the price by 33.33% instead of 30%
i hope it will help you!