If a car is traveling at a rate of 75 miles per hour, how far will the car travel in 1 hour??
1 answer:
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Answer:
General Formulas and Concepts:
<u>Algebra I</u>
- Exponential Rule [Root Rewrite]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
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<u>Step 2: Rewrite</u>
- Split:
- Rewrite [Exponential Rule - Root Rewrite]:
Divide by 7.
... |-7x -3| = 3
Unfold to two equations.
... -3 = -7x -3 . . . . . the content of the absolute value is negative
... 0 = -7x . . . . . . . . add 3
... 0 = x . . . . . . . . . . divide by -7
and
... 3 = -7x -3 . . . . . . the content of the absolute value is positive
... 6 = -7x . . . . . . . . add 3
... -6/7 = x . . . . . . . . divide by -7
The solutions are ...
... x = -6/7 or x = 0
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Many graphing programs will happily tell you the locations of x- and y-intercepts, so it is convenient to rewrite the equation so its value is zero at the solution points. We can do that by subtracting the right side constant to get ...
... 7|-7x -3| -21 = 0
