Answer:
x = 17
Step-by-step explanation:
-2x+8-6=-32
lets isolate the x variable:
-2x=-32-8+6
-2x = -34
x= -34/-2
x= 34/2
x= 17
Answer: a=36; b=18
Step-by-step explanation:
1. You know that the sum of two numbers is 54, then, you have:
a+b=54
2. According to the problem, the larger number is 18 more than the sampler number, this can be expressed as following:
a=b+18
3. Then, you must substitute the second equation into the first equation and solve for b:
b+18+b=54
b=18
4. Then the value of a is:
a+18=55
a=36
Answer:
-1
Step-by-step explanation:
You can do this two ways, the easiest way is to look at the graph.
What is g(4) means: When the x value equals 4, what does y equal?
Look for the coordinate with the x-value of 4 (it's asking for g(4). Now if you look at the y-value of the coordinate, it should tell you what g(4) is. So since the coordinate is (4,-1), g(4) is -1.
Another way to do it is to plug in 4 for x in the equation. So...
g(4) = -[f(4) - 3)]
g(4) = -[4 - 3]
g(4) = -[1]
g(4) = -1
Answer:
or 
Step-by-step explanation:
The given absolute value inequality is 
Divide both sides of the inequality by -2 and reverse the inequality sign:
By the definition of the absolute value function;
Either or 
Divide through the rightmost inequality by -1 and reverse the sign.
This implies that:
or
Triple t ⇒ 3t
add the result to u ⇒ 3t + u
multiply what you have by v ⇒ (3t + u)v
Since it is instructed not to simplify, we perform the distributive property of multiplication.
(3t + u)v = 3tv + uv
