Answer:
8.75
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Because I used the Internet.
:)
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}
x
−2
−1
0
1
2
y
−7
−2
3
8
13
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
The percent of change = ((new value - old value) / old value) × 100%
Our new value = $261.50
Our old value = $382
Plug our values into the equation above.
(($261.50 - $382) / $382) × 100% = -31.54%
Answer: The rabbit is hopping at 3 feet/ sec in speed
Step-by-step explanation:
Step 1
Let the The number of feet of the rabbit be expressed as N
AND time rabbit spends hopping can be expressed as t
From the question, The number of feet varies directly with the time rabbit spends hopping can be expressed as
N α t
Let us introduce a constant of proportionality ,S which represents speed in this case, we now have that
N = St
STEP 2 -- SOLVING
If the rabbit hop 6 feet in 2 seconds, Then speed =
N = St
6= S X2
S = 6/ 2
S = 3
also
If the rabbit hop 12 feet in 4 seconds, Then speed =
N = St
12= S X 4
S = 12/ 4
S = 3
Also recall
that Speed = Distance / time
Pluging the values in the first case,
speed = 6 feet/ 2 secconds = 3 feet/ seconds
in the second case
Speed= 12 feet/ 4 second s= 3 feet/ secs.
