We are given quadratic x^2-2x-8.
Let us factor it by product sum rule.
According to product sum rule, we need to find the factors of -8 that add upto -2.
If we write all factors of 8, we get 8,4,2 and 1 factores.
So, we could choose -4 and +2.
Because -4+2 = -2 (sum) and -4*2=-8 (product)
x^2-2x-8
Splitting middle term into two terms -4x+2x
x^2-4x+2x−8
Factoring out gcf from each group.
x(x-4) +2(x- 4)
(x + 2)(x - 4)
So, we got factored form of the given euadratic (x + 2)(x - 4).
Reciprocal of it would be 
.
Answer:
D(4) = 6
Step-by-step explanation:
Using the blue graph, find the y value when x =4
the y value is 6 when x=4
D(4) = 6
Answer:
39,51
Step-by-step explanation:
Complementary angles add to 90 degrees
Let one angle be x
The other angle is x+12
x+ x+12 = 90
Combine like terms
2x+12 = 90
Subtract 12 from each side
2x+12-12 = 90-12
2x = 78
Divide each side by 2
2x/2 = 78/2
x =39
The other angle is 39+12 =51
A) 2^(x+3)= 4^(2x)
make base number the same
2^(x+3)= 2^2 (2x)
set the exponents equal to eachother
x+3=2 (2x)
x+3=4x
-x both sides
3=3x
÷3 both sides
x=1
b) 16^(1/5)×2^(x)=8^(3/4)
make base same number
2^4 (1/5)×2^(x)=2^3 (3/4)
2^(4/5)×2^(x)=2^(9/4)
set exponents
4/5 +x=9/4
-4/5 both sides
x= 29/20
The exchange rate is 60:50 (us:euro)
if you have 70 euros, then x:70
60(x) : 70(50)
60x /60 : 3500/60
x = 58.33
seventy euro dollars = $ 58.33 on that particular day
hope this helps
