First get the equation into the form: Ax^2 + Bx + C = 0 (the quadratic equation)..
We do this by subtracting 10x both sides (to get it on the other side)..
9x^2 + 2 = 10x
9x^2 - 10x + 2 = 10x - 10x
9x^2 - 10x + 2 = 0
Now the discriminant is: b^2 - 4ac
The quadratic equation is Ax^2 + Bx + C = 0
Here, A = 9, B = -10 and C = 2 so plug them in...
(-10)^2 - 4 (9)(2)
= 100 - 4 (18)
= 100 - 72
= 28 <--- answer...
Answer:
an = 5 + 2n
Step-by-step explanation:
Each time it increases by the same amount (2), so this is an arithmetic sequence:
an = a₁ + d (n - 1)
Given a₁ = 7 and d = 2:
an = 7 + 2 (n - 1)
an = 7 + 2n - 2
an = 5 + 2n
Check our answer:
n=1: a₁ = 5 + 2(1) = 7
n=2: a₂ = 5 + 2(2) = 9
n=3: a₃ = 5 + 2(3) = 11
n=4: a₄ = 5 + 2(4) = 13
Answer:
2
Step-by-step explanation:
this is the sum of the two functions:
(g + h)(x)= -x - 3 + x + 5
(g + h)(x)=2
Pretty good, how about you:)
The value of the rational expression 2x+1 when x=5 would be 11.