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:
The total number of hours = 35 hours.
Step-by-step explanation:
The annual fee of Calm Spa = $125
Per hour charge of Calm Spa = $10
Annual fee of Relax Spa = $230
Per hour charge of Relax Spa = $7
Now we have to find the number of hours for which both have same cost.
Let the number of hours = x
Thus, 125 + 10x = 230 + 7x
10x-7x = 230 – 125
3x = 105
x = 35
The total number of hours = 35 hours.
Answer:
Domain = All real numbers
Range = y ≥ 0
Step-by-step explanation:
As for the domain... you can substitute any value for x and get a mathematical response. Therefore... the domain is all real numbers
Because we are finding the absolute value of the entire function... we know that the final answer cannot be negative. (Don't forget that it <em>can</em> still be 0) Since y can only be positive... we define the Range as y ≥ 0
Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters
Answer:
-6,-5,0,6,12
Step-by-step explanation:
The negative numbers are obviously smaller than the positive ones :)
