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 answer to your question is:
Domain: (-∞, ∞)
Range: [10, ∞)
Step-by-step explanation:
Data
Graph y = 5x² + 3x + 10
Process
As it is suggested, let's use a graphing calculator. But we can sketch that because it is a quadratic equation, then the graph will be a parabola that opens upwards.
See the graph below.
Domain: are the possible values of the independent variable.
Range: are the reslunting values of the dependent variable.
Then
Domain : (- ∞, ∞) It is an open interval because -∞ and ∞ are
not included.
Range : [10, ∞) It is close because 10 is included.
Hey there! I'm happy to help!
Let's have the capacity be c. The tank is currently at 4/5c. We subtract 190 and then we are at 1/6c. Let's set this up as an equation and solve it.
4/5c-190=1/6c
We want to get the c all by itself to see the capacity of the tank. Let's get all of the c values on the left side of the equation and the numbers on the right by using inverse operations.
4/5c-190=1/6c
Add 190 to both sides.
4/5c=1/6+190
Subtract 1/6 from both sides.
19/30c=190
Divide both sides by 19/30.
c=300
So, the capacity of the tank is 300 liters of water.
Have a wonderful day and keep on learning! :D
