The minimum for g(x)=x2-10
36
Since 2.5% as a decimal is .025, the equation to get this is:
(.025)(80000)
Once multiplied, these equal 2,000. Or in other words, the Smiths pay $2,000 in school taxes per year.
Answer:
1 to 30 seconds
Step-by-step explanation:
3 seconds increases your speed from 32 to 35 miles per hour
Hence 3 seconds = 3 miles per hour(35-32 miles)
1 second = 1 mile
The function for the increase per mile is therefore:
f(x)= 1x
Where x is number of seconds travelled on the highway
The domain of a function are the possible input values for x. Since the speed limit on the highway is 65 miles, the input values for x cannot be more than 30 seconds(current speed is 35 miles per hour, 65-35=30)
Answer:

Step-by-step explanation:
The z-score tells us how many standard deviations a value is away from the mean.
The formula is:

where x is the value,
is the mean, and s is the standard deviation.
We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.

Substitute the values into the formula.

Solve the numerator.

Divide.

The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.