Number 4 would be: C
And number 5 would be: C
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If a< c< b then a<c and c<b
Separate the equation into 2 separate ones and solve them:
X-9 < 4x +3
Subtract 3 from both sides:
X-12 < 4x
Subtract x from both sides:
-12< 3x
Divide both sides by 3:
X > -4
4x+3 < 27
Subtract 3 from both sides
4x < 24
Divide both sides by 4
X <6
Combine to get one inequality:
-4<x<6
<span>Multiply equation(2) with 4 so that coefficient of become same in both the equations(You can make coefficient of y same and can follow the following procedure.)
</span><span>* Subtract (3) from (1)
* </span>Divide both sides by -19
*Subtract 21 from both sides.
*Divide both sides by 4
so the solution is x= 3 and y= -7
Hope I helped you :)
Answer:
Option D is correct.
Step-by-step explanation:
We can tell that
Now, let's simplify.
=> 
=> 
=> 
=> 
=> 
Therefore, Option D is correct.
Hoped this helped.
Answer:
slope(m)=5/4 and
y-intercept (c)=12
Step-by-step explanation:
here,given equation of a line is
5x-4y-1=0...eqn(i)
equation of any line parallel to line(i) is
5x-4y+k=0...eqn(ii)
since,the line(ii) passes through (-8,2)[replacing x=-8 and y=2 in eqn(ii), we get]
5*(-8)-4*2+k=0
or-40-8+k=0
•°•k=48
substituting the value of k=48 in eqn(ii),
5x-4y+48=0 is the required equation of the line.
now,
changing eqn(ii) in slope intercept form we get,
4y=5x+48
or,y=5x/4+48/4
or,y=(5/4)x+12
comparing it into y=mx+c we get,
slope(m)=5/4 and y-intercept(c)=12
