This set notation really seems the hard way to exclude a single value. Anyway...
The domain doesn't include where the denominator is zero, 4x + 7 = 0,
x = -7/4
The range doesn't include the asymptotic value, which is
y=2x/4x = 1/2
So we need domain x ≠ -7/4 and range y ≠ 1/2
Answer: First choice
Answer:
The length of the box is 10 feet.
Step-by-step explanation:
You have to work backwards to find volume, so just divide the volume (100) by the height (2) then divide that by the width (5) and you get your answer, 10
Answer:
The ball traveled 116.25 m when it hit the ground for the fifth term
Step-by-step explanation:
This is a geometric progression exercise and what we are asked to look for is the sum of a GP.
The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.
First value, a = 60
Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.
This is the common ratio, r = 1/2 = 0.5
The number of terms it hits the ground is the number of terms in the GP.
number of terms, n = 5
The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation:

<span>6d = 108
You would first divide each side by 6 to isolate the variable.
6d = 108
6 6
d = 18
-Gives you thumbs up- </span>