Answer:
<em>Thus the domain is the real numbers and the range is y>3.</em>
<em>Answer: Option C)</em>
Step-by-step explanation:
<u>Domain and Range of Functions</u>
To determine the domain and range of a function given on a graph, we use the vertical and horizontal line methods respectively.
The domain consists of all the values of x for which the function exists. We are told that the function is an exponential decay. Exponential functions without specified restrictions have a domain of all the real numbers.
Imagine a vertical line moving from minus infinite x to plus infinite. The line would always cross the graph at one point, thus the domain is all the real numbers.
Now for the range, imagine a horizontal line coming from y minus infinite. It won't get in contact with the graph until it approaches y=3. Once it goes up y=3, the line touches the graph in one point up to infinity y. The range is y>3.
Thus the domain is the real numbers and the range is y>3.
Answer: Option C)
Step-by-step explanation:
7.2 / (-8.1) / (-3.7) = Positive
A = (-7.2) / (-8.1) / (-3.7) = Negative
B = (-7.2) / (8.1) / (3.7) = Negative
Hence the answer is C, none of the above.
Answer:
<em>$1.50</em>
Step-by-step explanation:
Given the total weekly pay of Hector modeled by the equation;
y = 10(8.5 + x)
We are to find the amount of Hector's raise per hour x given the total oay y = $100
Substitute y = 100 into the equation and find x as shown;
y = 10(8.5 + x)
100 = 10(8.5+x)
100/10 = 8.5 + x
10 = 8.5 + x
x = 10 - 8.5
<em>x = 1.5</em>
<em>Hence the amount of Hector's raise per hour is $1.50</em>
Answer:
c= 20h + 60
Step-by-step explanation:
The correct dependent variable for this equation is "c" cost of Mr Z's tutoring. The independent variable is "h" hours of tutoring. This is because the independent variable h hours should determine the cost of tutoring c. Therefore the equation can be interpreted: if there are h hours of tutoring which cost 20 per hour, total cost is equal c. Also slope of the equation is 20, coefficient of h.
Answer: Null hypothesis =
Alternative hypothesis =
Step-by-step explanation:
Given claim : 74% of workers got their job through college.
In proportion , 0.74 of workers got their job through college.
Let p be the proportion of workers got their job through college.
Then claim :
We know that the null hypothesis always takes equality sign and alternative hypothesis takes just opposite of the null hypothesis.
Thus, Null hypothesis =
Alternative hypothesis =