Which numbers below belong to the solution set of the equation? Check all that apply. x+9=26
1 answer:
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Given:
The expression is
To find:
The simplified form of the given expression so there is only one positive power for the baser -5.
Solution:
We have,
Using the properties of exponents, the given expression can be written as
Here, the base is -5 and the exponent is 5.
Therefore, the correct option is C.
Answer:
Greg lives 280 miles from the mountains.
Step-by-step explanation:
Given:
Time required to drive to the mountains = 8 hours.
Time required to drive home = 5 hours.
We need to find the distance Greg live from the mountains.
Solution:
Let the average rate while driving to the mountains be 'x'.
So rate while returning home =
Now we know that;
Distance is equal to Speed times Time.
So we can say that;
Distance while travelling the mountain =
Distance while returning home =
Now we know that;
Distance while travelling the mountain and Distance while returning home will both be equal.
so we get;
Combining like terms we get;
Dividing both side by 3 we get;
Substituting the value of x in any of the Distance equation we get;
Distance =
Hence Greg lives 280 miles from the mountains.