Step-by-step explanation:
Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)
By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 4}
By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 0}
Answer:
5
Step-by-step explanation:
Blue: when x = - 3, y = 5
Green: when x = -3, y = 0
The difference between the two graphs at X = -3 : 5 - 0 = 5
Answer
5
Answer:
7 inches
Step-by-step explanation:
The ratio of width to length of the known rectangle is 4 : 14 and this simplifies to 2 : 7.
The smaller similar rectangle will have the same ratio of 2 :7.
This can also be looked at another way. The second value in the ratio is 7/2 of the first value in the ratio and the first value is 2/7 of the second value.
Example:
7/2 * 2 = 7
Example:
2/7 * 7 = 2
In order to calculate the equivalent discount, consider the principle number is 100,
Then, 100 - 100 * 0.20 = 100 - 20 = 80
Now, 80 - 80 * 0.15 = 80 - 12 = 68
So, Total discount would be: 100 - 68 = 32%
Hope this helps!
