Answer:
1. The sum of 4 and x is 7, and to isolate the variable, you move the 4 to the other side and the equation will change into x=7-4, giving us x = 3
2. To solve this inequality, you must isolate the variable x by moving -9 to the other side. To do this, you have to divide 27 by -9, and this causes the direction of the inequality sign to change. After you divide, the inequality changes to this: x<-3
3. since there are no negative numbers involved in this inequality, you divide 3 by 1/4 (or multiply it by 4) to isolate x. this gives us x <= -12
4. To solve this algebraic equation, you must isolate the variable 3x. To do this, you must move -9 to the other side of the equation by adding 9 to the 6. this gives us 3x=15 and x = 5
5. To put x by itself, you subtract 1 by 4, giving you x<-3
Subtract x^10 from both sides. add 17 to both sides. divide both sides by 7.3 take root and the answer should be x=1.08821, -1.08821
2. 
Domain:
, because any value of
is allowed and gives a number
.
Range:
, because
for any positive real
.
y-intercept: This is a point of the form
. So plug in
; we get
. So the intercept is (0, 2), or just 2. (Interestingly, you didn't get marked wrong for that...)
Asymptote: This can be deduced from the range; the asymptote is the line
.
Increasing interval: Going from left to right, there is no interval on which
is increasing, since 1/4 is between 0 and 1.
Decreasing interval: Same as the domain;
is decreasing over the entire real line.
End behavior: The range tells you
, and you know
is decreasing over its entire domain. This means that
as
, and
and
.
3. 
Domain: Same as (2),
.
Range: We can rewrite
.
for all
, so
for all
. Then the range is
.
y-intercept: We have
, so the intercept is (0, -6) (or just -6).
Asymptote: 
Increasing interval: Not increasing anywhere
Decreasing interval: 
End behavior: Similar to (2), but this time
as
and
as
.
<h3>52.68 feet per hour = 10.536 inches per minutes</h3>
<h3>Further explanation</h3>
Acceleration is rate of change of velocity.


<em>a = acceleration ( m/s² )</em>
<em>v = final velocity ( m/s )</em>
<em>u = initial velocity ( m/s )</em>
<em>t = time taken ( s )</em>
<em>d = distance ( m )</em>
Let us now tackle the problem !






If the dwarf seahorse hippocampus zosterae swims at a rate of 52.68 feet per hour , then :




<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Physics
Chapter: Kinematics
Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate
Answer:
1,436.8
Step-by-step explanation: