Answer:
-2<x<4
Step-by-step explanation:
For
, note that either the numerator or denominator is positive and the other must be negative for this inequality to be satisfied.
This means x+2>0 and x-4<0 or x+2<0 and x-4>0.
Lets look at the first scenario (x+2>0 and x-4<0)
x+2>0 and x-4<0
x>-2 and x<4
This means that -2<x<4.
Let’s look at the other scenario (x+2<0 and x-4>0)
x+2<0 and x-4>0
x<-2 and x>4
This means that x must be <-2 and >4 simualtaneously, which is impossible.
Therefore, this only occurs when -2<x<4.
I hope this helps! :)
Answer:
b
Step-by-step explanation:
Given
x³ + 5x² - 9x - 45 ( factor the first/second and third/fourth terms )
= x²(x + 5) - 9(x + 5) ← factor out (x + 5) from each term
= (x + 5)(x² - 9) ← factor as a difference of squares
= (x + 5)(x - 3)(x + 3)
Answer:
hello :
90 = 15×6
75 = 15× 5
highest common factor of 90 and is 15 because highest common factor of 5 and 6 is 1
90 = 3² ×2×5
75= 5^3
common multiple of 90 and 75 is : 3²×2×5² = 450
90 and 75 both smaller than 100.
67.50 + 12.50 = 80
80/100 = 0,8 x 3 = 2.4
so, the total bill was 80 + 2.4 = 82.4
<em>hope it helps :)</em>
Answer:
B
Step-by-step explanation:
i think