Answer:
When the solution is negative
Step-by-step explanation:
One example, let's say you are buying pens and each pen cost 3 dollars and you cannot spend more than 15 dollars, how many pens can you buy?
The inequality would be 3x < 15, so any negative solution is not reasonable because you cannot buy negative pens. The same goes for most real-world problems dealing with time, money, or distance.
Answer:
x = 2, or x = -1
Step-by-step explanation:
If 2x - 3 is inside the parenthesis (), then the value of x is 2.
If 2x - 3 is inside the absolute value sign, then the value of x will probably be -1.
<u>Solution 1</u>
(10x-15) + 4 = 9
10x -11 = 9
10x = 20 -> x = 2
<u>Solution 2</u> (Not 100% sure)
|10x -15| +4 = 9
10x + 15 +4 = 9
10x + 19 = 9
10x = -10 -> x = -1
Please correct me if I'm wrong.
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Answer:
18/5 = 3.6 (note that 3/2 = 1.5 )
the actual division is 3.387
Step-by-step explanation:
(f∘g)(x) is equivalent to f(g(x)). We solve this problem just as we solve f(x). But since it asks us to find out f(g(x)), in f(x), each time we encounter x, we replace it with g(x).
In the above problem, f(x)=x+3.
Therefore, f(g(x))=g(x)+3.
⇒(f∘g)(x)=2x−7+3
⇒(f∘g)(x)=2x−4
Basically, write the g(x) equation where you see the x in the f(x) equation.
f∘g(x)=(g(x))+3 Replace g(x) with the equation
f∘g(x)=(2x−7)+3
f∘g(x)=2x−7+3 we just took away the parentheses
f∘g(x)=2x−4 Because the −7+3=4
This is it
g∘f(x) would be the other way around
g∘f(x)=2(x+3)−7
now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them.
g∘f(x)=2x+6−7
Next, +6−7=−1
g∘f(x)=2x−1
Its a lts easier than you think!
Hope this helped
