For what value of y does 125 = (StartFraction 1 Over 25 EndFraction) Superscript y minus 1? Negative five-halves –2 –1 Negative
1 answer:
Answer:
D. -1/2
Step-by-step explanation:
First to rewrite the equation in numbers
First, we need to find what exponent would get 1/25 to 125.
Sense 1/25 is a fraction we must use a negative exponent to make it a whole number. We can just find what exponent would get 25 to 125 then make it negative. 1 wouldn't be enough and 2 would be too much so y is between 1 and 2 into negative is between -1 and -2. Sense the original equation has (y-1) the only option you can subtract 1 from to get between -1 and -2 is -1/2 which would give -1 1/2.
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Domain means the values of independent variable(input) which will give defined output to the function.
Given:
The height h of a projectile is a function of the time t it is in the air. The height in feet for t seconds is given by the function
Solution:
To get defined output, the height h(t) need to be greater than or equal to zero. We need to set up an inequality and solve it to find the domain values.
Conclusion:
The domain of the function is the time in between 0 to 6 seconds
The height will be positive in the above interval.