Answer:
Step-by-step explanation:
A rational number are numbers that can be expressed as as fraction. They can be expressed as a ratio of two integers. An irrational is quite the opposite. An irrational number cannot be expressed as a ratio of two integers.
Taking square root of two as an example;
√2 cannot be expressed as a ratio of two integers because the result will always be a decimal. If expressed as √2/1, it is still not a rational number because of the square root of 2 at the numerator. Square root of 2 is not an integer even though 1 is an integer.
Mark is wrong because √2 is irrational and it is irrational because it cannot be expressed as a ratio of two integers <em>not due to the fact that he can write it as a fraction.</em>
Answer:
The function is represented by
.
Step-by-step explanation:
In this case, we must observe that total cost of the dog (
) is the sum of two components: i) <em>Fixed cost</em> (
) - Adoption fee, ii) <em>Variable cost</em> (
) - Daily cost of feeding the dog, both measured in US dollars.
In addition, we suppose that variable cost is directly proportional to the number of days that Kirstin owns her dog. That is:


Where:
- Number of days that Kirstin owns her dog, measured in days.
- Daily feeding costs, measured in US dollars per day.
If
, then:

The function is represented by
.
7q^2 - 28 = 0
7q^2 = 28
q^2 = 4
q = +/-2
solution set is {-2,2}
Hint: The rule of the 45-45-90 triangle is that both sides are x and the hypotenuse is x√2.
x = 5√2
To find the hypotenuse you multiply x by √2.
5√2 (√2)
5√4
5 (2)
10
The hypotenuse is 10.