Answer:
Step-by-step explanation:
<u>Similar Triangles</u>
By looking at the construction of the figure, we can safely assume both triangles are similar, i.e. their internal angles are equal and their sides are proportional. Following the proportion of the heights and bases of both triangles we can set this relationship:
Simplifying both fractions
Solving for x
What can a denominator never be?
0
so, we need to figure what x can't be... the only way to multiply 2 things together to get 0 is if one or both are zero.
so, what x values make our denominator 0?
to figure this out, we need to set (x-1)(x-2)=0
now we split and solve.
so when x is 1 or 2 the function doesnt make sense.
but, x can be every other number and it does, so the answer is
ALL REAL NUMBERS not equal to 1 or 2
Answer:
Correct option is D 
Step-by-step explanation:
Let the laptop's original cost be = L
After 20% discount its price will be (100 - 20)% × L = 0.8L
8% sales tax on this price = (100 + 8)% × 0.8L = 1.08 × 0.8L
So, p = 1.08 × 0.8L
⇒ L = 
Step-by-step explanation:
f(x) = 5x - 8
g(x) = 9 - 6x²
= (fog)(-3)
= f( g(3) )
= 5x - 8
= 5(9 - 6x²) - 8
= 5(9 - 6(-3)² ) - 8
= 5(9 - 54) - 8
= 5(-45) - 8
= -225 - 8
= -233
(fog)(-3) = -233
