Answer:
<h2>10, 7.5, 5.625, 4.21875, ...</h2><h2>160, 40, 10, 2.5, ...</h2><h2>20, 70, 245, 857.5, ...</h2><h2>5, 5.5, 6.05, 6.655, ...</h2>
Step-by-step explanation:
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:
A
Step-by-step explanation:
The answer to A) 700
The answer to B) 250
Answer:
g(3) = 7
Step-by-step explanation:
g(3) means to substitute "x" for 3.
Change any "x" in the function to 3. Then solve.
Take the function
g(x) = 2x + 1
Substitute x = 3
g(3) = 2(3) + 1
Solve with BEDMAS order (brackets, exponents, division, multiplication, addition, subtraction).
g(3) = 2(3) + 1 Multiply first
g(3) = 6 + 1 Add
g(3) = 7 Answer
