Answer:
x ≥ -6
Step-by-step explanation:
x - 4 ≤ 3x + 8
Add 4 to both sides.
x ≤ 3x + 12
Subtract 3x from both sides.
-2x ≤ 12
Divide both sides by -2. Remember to change the direction of the inequality sign since you are dividing by a negative number.
x ≥ -6
Answer:
Step-by-step explanation:
an hour has 60 minutes, one third is 20 minutes, 2/3=40 minutes
Jordan bikes 8 2/3 mph or 26/3 mph
26/3 .......................60 minutes
?................................40 minutes
((26/3)*40)/60=52/9=5 7/9 miles in 40 min
From the text you can derive the following equations:
(1) A = bh/2 = 8
(2) and h = b+6
Fill in h in (1):
b(b+6)/2 = 8 => b^2 + 6b = 16 with the quadratic formula or simply trying some values for b you can find b=2, so h=8.
Answer:
-5 < x < 31
Step-by-step explanation:
Step 1 :
Rearrange this Absolute Value Inequality
Absolute value inequality entered
|x-13| < 18
Step 2 :
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |x-13|
For the Negative case we'll use -(x-13)
For the Positive case we'll use (x-13)
Step 3 :
Solve the Negative Case
-(x-13) < 18
Multiply
-x+13 < 18
Rearrange and Add up
-x < 5
Multiply both sides by (-1)
Remember to flip the inequality sign
x > -5
Which is the solution for the Negative Case
Step 4 :
Solve the Positive Case
(x-13) < 18
Rearrange and Add up
x < 31
Which is the solution for the Positive Case
Step 5 :
Wrap up the solution
-5 < x < 31
Answer:
(3y−2)(y−8)
Step-by-step explanation:
Factor 3y2−26y+16
3y2−26y+16
=(3y−2)(y−8)