<span>A table representing a function is provided below.
x 1 2 3 4 5
y 1 16 64 256 1,024
According to the data in the table, from x = 2, the value of y can be represented as
which is equivalent to
This indicates an exponential function.
Thus, the </span><span>most accurate description of the function's graph is: "The graph initially appears flat but ascends sharply."</span>
Answer: 0.46
Step-by-step explanation:
B&B Motors' mini trucks yield 0.59; all four companies combined yield 0.39; mini trucks yield 0.13. Hence, 0.59 - 0.13 equals 0.46.
Answer:
Therefore, the data is best represented by:
Step-by-step explanation:
We have a table indicating the estimated lines of code produced by computer programmers per hour when x individuals are engaged.
The question asks which model accurately reflects this data.
To determine this, we will substitute the values of x into each function to see which one accurately produces the corresponding y (f(x)) values provided in the table:
We are presented with four functions, which are:
A)
B)
C)
D)
We'll create a table displaying these values at various x levels.
x A B C D
2 66.66 49.3 52.5 50
4 94.57 71.44 106.3 104
6 134.14 103.57 160.1 158
8 190.27 150.14 213.9 212
10 269.91 217.64 267.7 266
12 382.85 315.5 321.5 320.
Thus, the function that suitably represents the data is:
Option C.
y=26.9x-1.3
To work with the repeating decimals, note that since there are two digits repeating, you will be using a 1 followed by two zeros, which is 100. This factor will be important for subsequent calculations.
Let’s denote the repeating decimal as x.
Thus, you can write
x = 0.212121...
Now, if you multiply this equation by 100, you can write it on top of the previous equation.
This results in:
100x = 21.212121...
x = 0.212121...
Next, set up a subtraction by taking the second equation from the first:
100x = 21.212121...
x = 0.212121...
- ----------------------------
99x = 21
Solving for x involves dividing both sides by 3:
33x = 7
Then, divide both sides by 33:
x = 7/33
Thus, we conclude that the repeating decimal 0.212121... equates to the fraction 7/33.
Answer: the fraction is 7/33
