Answer:
![y](https://tex.z-dn.net/?f=y%3C4x-5)
![y\leq 2x+3](https://tex.z-dn.net/?f=y%5Cleq%202x%2B3)
Step-by-step explanation:
step 1
Find the equation of the solid line
From the graph take the points (0,3) and (4,11)
Find the slope
![m=(11-3)/(4-0)\\m=8/4=2](https://tex.z-dn.net/?f=m%3D%2811-3%29%2F%284-0%29%5C%5Cm%3D8%2F4%3D2)
The equation of the solid line in slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
we have
![m=2](https://tex.z-dn.net/?f=m%3D2)
----> the y-intercept is the point (0,3)
substitute
![y=2x+3](https://tex.z-dn.net/?f=y%3D2x%2B3)
therefore
The inequality is
![y\leq 2x+3](https://tex.z-dn.net/?f=y%5Cleq%202x%2B3)
step 2
Find the equation of the dashed line
The slope is given
![m=4](https://tex.z-dn.net/?f=m%3D4)
From the graph take the y-intercept (0,-5)
The equation of the solid line in slope intercept form is equal to
we have
![m=4](https://tex.z-dn.net/?f=m%3D4)
substitute
![y=4x-5](https://tex.z-dn.net/?f=y%3D4x-5)
therefore
The inequality is
![y](https://tex.z-dn.net/?f=y%3C4x-5)
because the shaded region is below the dashed line
therefore
The system of inequalities is
![y](https://tex.z-dn.net/?f=y%3C4x-5)
![y\leq 2x+3](https://tex.z-dn.net/?f=y%5Cleq%202x%2B3)
6,635 should be standard form
Answer: No, you cannot.
Step-by-step explanation: A square number cannot be a perfect number.
The numbers: 0, 1, 5, 14, 30, 55, 91, 140, 204, 285, 385, 506, 650, 819, 1015, 1240, 1496, 1785, 2109, 2470, 2870, 3311, 3795, 4324, 4900, 5525, 6201 are examples of perfect numbers.
Answer:
7miles
equations shown in work image below
work shown on the paper with more explanations because text is hard to write equations (sorry I used km but it is miles for your problem.)
:) please give a heart for thanks
and brainliest crown :)
Step-by-step explanation:
For both d=r*t
Each bikes to others house and leave at the same time so for Tony,
11 = 30*t
t= 11/30 hours
for Gerry,
11 = 25*t
t= 11/25 hours
Comparing these, with LCD,
Tony's time is 55/150
Gerry's time is 66/150
So Tony got to Gerry's house 11/150 hours quicker than Gerry got to Tony's house.
Now they turn around and head back toward each other. If they leave at the same exact time, the elapsed time for each until they met would be the same so t (for tony) = t (for gerry), but Tony got a head start.
We start the stopwatch when Gerry turns around 11/150 hours after Tony has turned around. If Gerry's time to where they meet from Tony's house t(gerry), then Tony's time from Gerry's house is t(gerry) + 11/150
Answer:
MN-27
Step-by-step explanation:
the formula will be
NL×ML=KL^2
so substitute to get
24x=432
x=18
MN- 2x-9=2×18-9=27