3(2x - 1) > = 4(2x - 3) - 3
6x - 3 > = 8x - 12 - 3
6x - 3 > = 8x - 15
6x - 8x > = -15 + 3
-2x > = -12
x < = -12/-2
x < = 6
the incorrect one is : A number line with a closed circle on 6, shading to the right
Answer:
110.06
Step-by-step explanation:
Make a ratio: 95.20 / x = 86.5 / 100 (86.5 = 100% - 13.5%)
Cross multiply: 95.20 x 100 = 86.5x
9520 = 86.5x
110.06 = x
Answer: 2 < x < 16
The triangle inequality theorem says that if we have a triangle with sides a,b,c then
b-a < c < b+a
with b being longer than 'a'
In this case, a = 7 and b = 9 and c = x
so we have
b-a < c < b+a
9-7 < c < 9+7 .... replace a with 7, replace b with 9
2 < c < 16
2 < x < 16 .... replace c with x
So x can be any number between 2 and 16. The value of x cannot be equal to 2. Also, x cannot be equal to 16 either.
For this case we must find the quotient of the following expression:
We can rewrite the expression as:
(We take into account that
)
By definition of multiplication of powers of the same base, we place the same base and add the exponents:
By definition of division of powers of the same base, we place the same base and subtract the exponents:
Answer:
