4(x+2)=3(x-2)
Multiply the first bracket by 4
Multiply the second bracket by 3
4x+8=3x-6
Move 3x to the left hand side, whenever moving a number with a letter the sign changes ( positive 3x to negative 3x)
4x-3x+8=3x-3x-6
x+8=-6
Move positive 8 to the right hand side
x+8-8=-6-8
x=-14
Check answer by using substitution method
Use x=-14 into both of the equations
4(-14+2)=3(-14-2)
-56+8=-42-6
-48=-48
Answer is -14- D)
0.4 is rational.
Any irrational added to a rational is irrational.
Therefore we only need to add ANY irrational to 0.4 to produce an irrational number.
Examples of irrational numbers are: pi, e, sqrt(2), sin(pi/3), tan30 degrees, etc.
Answer:
y = x/3 + 10
Step-by-step explanation:
Let y be the number of minutes the flight takes
She can take off 10 minutes later than expected. She will be able to travel at a speed three times than expected.
Let her expected speed be s, therefore, she can travel at 3s.
x = number of minutes the flight was expected to take.
In terms of distance and speed:
x = d / s ______(1)
where d = total distance traveled
The time for the flight (minus waiting time) is now the division of the distance she traveled and her speed, i.e.:
t = d / 3s
From (1):
=> t = x / 3
The time she spent waiting is 10 minutes.
Therefore, the total time that the flight takes (plus waiting time) is:
y = t + 10
=> y = x/3 + 10
Answer:
-16
Step-by-step explanation:
(3/4)x+7=-5
(3/4)x=-12
x=-12(4/3)
x=-16
