2x+8=20
2x=20-8
2x=12
12/2=x
6=x
Step-by-step explanation:
You should prolly subtract 2 from both sides first.
So you get, -|2/5x + 3| > -1 2/5
- Add three to both sides
- -|2/5x| = -1 2/5
- Do -1 and 2/5 divided by 2/5 to get -3.5, x > -3.5
One of the answers is x > -3.5 but you need to switch the sign to less than and make the other side the opposite.

You see that, switched the sign and made whats on the right side opposite. So now solve for x again but with this new equation. Also, the parentheses are absolute value signs
Subtract 3 from both sides
-|2/5x| < -1 and 3/5
Divide 2/5 from each side to get x < -4
I hope I'm correct, my bad if I'm wrong
Answer:
The inverse of the given function is
. The time taken to travel 180 miles is 3.6 hours.
Step-by-step explanation:
It is given that a car travels at a constant speed of 50 miles per hour. A function for distance traveled is also given as d(t)=50t.
It is required to find the inverse of the function by expressing the time travel in terms of distance traveled and also find t(180).
To find the inverse, express time traveled in terms of distance traveled using normal algebraic methods and then substitute 180 for t and explain its results.
Step 1 of 2
The given function is d(t)=50t.
Consider d(t) as d and t as t(d) and rewrite the equation.
The rewritten function is d=50 t(d)
Divide by 50 on both sides of the equation.

Step 2 of 2
Substitute 180 for $t$ in the simplified expression and interpret the results.

The time taken to travel 180 miles is 3.6 hours.
Answer:
68°
Step-by-step explanation:
The triangle containing the 79° angle is isosceles. That means the other base angle is also 79°. The central angle is ...
V = 180° -2(79°) = 22°
__
Angle X is the other acute angle in right triangle VWX, so has measure ...
X = 90° -22° = 68°
_____
<em>Additional comment</em>
A tangent makes a right angle with the radius to the point of tangency. W is the point of tangency, so angle VWX is a right angle.