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
answer is 2
Step-by-step explanation:
2 times 2 equals 4
and 8 divided by 4 equals 2
The formula for cosine is adj/hyp. For angle B, 10 is the adjacent and 24 is the opposite. The hypotenuse ( in this case, 26) is the longest side. the ratio for angle b would be 10/26.
2 1/7 + 5/7 = 2 6/7 total bags
2 6/7 - 1 2/7 = 1 4/7 bags
She took 1 4/7 bags home.
Answer:
Step-by-step explanation:
The first time the basketball bounces it reaches a height of 
.
The second time the basketball bounces it reaches a height of ![(0.722) (0.722) (6) = [(0.722) ^ 2] (6)](https://tex.z-dn.net/?f=%280.722%29%20%280.722%29%20%286%29%20%3D%20%5B%280.722%29%20%5E%202%5D%20%286%29)
. Therefore, after b rebounds the height that the basketball will reach is given by:
