Maria kept a log of the number of miles she jogged each time she went for a run as she trained for an upcoming marathon. She dis
played the logged runs in the histogram below.
A histogram titled Maria's Monthly Jogging has miles run on the x-axis and number of runs on the y-axis. 1 to 1.99 miles is 2 runs; 2 to 2.99 miles is 5 runs; 3 to 3.99 miles is 5 runs; 4 to 4.99 miles is 3 runs; 5 to 5.99 miles is 4 runs; 6 to 6.99 miles is 7 runs; 7 to 7.99 miles is 4 runs.
What is the range of the number of miles Maria jogged?
0 to 7
0 to 7.99
1 to 7.99
1 to 8
A histogram titled Maria's Monthly Jogging has miles run on the x-axis and number of runs on the y-axis. 1 to 1.99 miles is 2 runs; 2 to 2.99 miles is 5 runs; 3 to 3.99 miles is 5 runs; 4 to 4.99 miles is 3 runs; 5 to 5.99 miles is 4 runs; 6 to 6.99 miles is 7 runs; 7 to 7.99 miles is 4 runs.
What is the range of the number of miles Maria jogged?
0 to 7
0 to 7.99
1 to 7.99
1 to 8
2 answers:
Answer:
<u>C. 1 to 7.99</u>
Step-by-step explanation:
Let's recall that for calculating the range of a data set, we have to find out the lowest and the highest values of the data set.
As we can see in the graph below, the lowest value in the histogram is 1 and the highest is 7.99, therefore the correct answer is:
<u>C. 1 to 7.99</u>
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Answer:
The solution for f(x) = g(x) are;
x = 1 and x = -1
Step-by-step explanation:
The given equations for the functions, g(x) are;
g(x) = 2 + x
The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;
When f(x) = g(x), we have;
By cross multiplication, we have;
1 + 2·x = x × (2 + x) = 2·x + x²
∴ x² + 2·x - 2·x - 1 = 0
x² - 1 = 0
(x - 1)·(x + 1) = 0
x = 1, or x = -1
f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1
Therefore, the solution for f(x) = g(x) are;
f(x) = g(x) = 3 or 1 where x = 1 and x = -1.