For you to be able to answer this you might need a tall numberline
All steps that Marcie did are right, but she forgot to change sign in last step.
Consider the inequality
Then
Group the numbers:
Separate terms with x and without x in different sides:
The coefficient at x is -8 and it is negative, then dividing the inequality by -8 you have to change sign in opposite:
Answer: Marcie forgot to change sign in last step.
If you are given that b = 2, then just plug it in:
So, your final answer is
0.
Answer:
a>4 or a < 8
Step-by-step explanation:
We can start with the inequality on the left
-a + 2(4+3a) > 28
expand using the distributive property
-a + 8 + 6a > 28
5a + 8 > 28
subtract 8 from both sides to isolate the variable and its coefficient
5a > 20
divide both sides by 5 to isolate a
a > 4
moving on to the inequality on the right
2a - (3a+4) > -12
treat the minus sign as a -1
2a + (-1)(3a+4) > - 12
expand
2a - 3a - 4 > - 12
-a - 4 > -12
add 4 to both sides to isolate a and its coefficient
-a > - 8
multiply both sides by -1 but change the sign because we are multiplying by a negative number
a < 8
Answer:
V = pi 36 units^3
V =113.04 units^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = pi ( 2) ^2 *9
V = pi 36
Letting pi = 3.14
V =113.04
