Answer:
Let's solve your equation step-by-step.
|−x−15|=|5x−23|
Solve Absolute Value.
|−x−15|=|5x−23|
We know either−x−15=5x−23or−x−15=−(5x−23)
−x−15=5x−23(Possibility 1)
−x−15−5x=5x−23−5x(Subtract 5x from both sides)
−6x−15=−23
−6x−15+15=−23+15(Add 15 to both sides)
−6x=−8
−6x
−6
=
−8
−6
(Divide both sides by -6)
x=
4
3
−x−15=−(5x−23)(Possibility 2)
−x−15=−5x+23(Simplify both sides of the equation)
−x−15+5x=−5x+23+5x(Add 5x to both sides)
4x−15=23
4x−15+15=23+15(Add 15 to both sides)
4x=38
4x
4
=
38
4
(Divide both sides by 4)
x=
19
2
Check answers. (Plug them in to make sure they work.)
x=
4
3
(Works in original equation)
x=
19
2
(Works in original equation)
Answer:
x=
4
3
or x=
19
2
Step-by-step explanation:
The answer to the question is 0.5
6-3a+10b^2-2a-4b^2-3
-5a+6b^2+3
50:80
5:8 is your answer
hope this helps
Using a linear function, it is found that it will take 13 hours for the candle to burn down to a height of .25 inches.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the situation described, the y-intercept is of 10 while the slope is of -0.75, hence the height of the candle after t hours is given by:
h(t) = 10 - 0.75t
The height will be of 0.25 inches when h(t) = 0.25, hence:
0.25 = 10 - 0.75t
0.75t = 9.75
t = 9.75/0.75
t = 13 hours.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
