Answer:
Step-by-step explanation:
The point means that 15 pounds of beans cost 12 dollars.
ANSWER
![12 \sqrt{5}](https://tex.z-dn.net/?f=12%20%5Csqrt%7B5%7D%20)
EXPLANATION
The given expression is
![\sqrt{2} \times \sqrt{72} \times \sqrt{5}](https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%20%20%5Ctimes%20%20%5Csqrt%7B72%7D%20%20%5Ctimes%20%20%5Csqrt%7B5%7D%20)
The middle radical contains a perfect square.
![\sqrt{2} \times \sqrt{36 \times 2} \times \sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%20%5Ctimes%20%20%5Csqrt%7B36%20%5Ctimes%202%7D%20%20%5Ctimes%20%20%5Csqrt%7B5%7D%20)
![\sqrt{2} \times \sqrt{36} \times \sqrt{2} \times \sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%20%5Ctimes%20%20%5Csqrt%7B36%7D%20%20%20%5Ctimes%20%20%5Csqrt%7B2%7D%20%5Ctimes%20%20%5Csqrt%7B5%7D%20)
![6\sqrt{2} \times \sqrt{2} \times \sqrt{5}](https://tex.z-dn.net/?f=6%5Csqrt%7B2%7D%20%20%5Ctimes%20%20%5Csqrt%7B2%7D%20%5Ctimes%20%20%5Csqrt%7B5%7D%20)
Note that:
![\sqrt{a} \times \sqrt{a} = a](https://tex.z-dn.net/?f=%20%5Csqrt%7Ba%7D%20%20%5Ctimes%20%20%5Csqrt%7Ba%7D%20%20%3D%20a)
![6\times 2 \sqrt{5} = 12 \sqrt{5}](https://tex.z-dn.net/?f=6%5Ctimes%202%20%5Csqrt%7B5%7D%20%20%3D%2012%20%5Csqrt%7B5%7D%20)
![the \: function \: is \:y = a {x}^{2} + c \\ then \: we \: put \: (0 \: \frac{1}{3} ) \: and \: ( - 3 \: \: \frac{82}{3} ) \: in \: the \: function \\ then \: we \: got \\ c = \frac{1}{3} \\ \frac{82}{ 3} =9a + c \\ then \: we \: can \: solve \: that \: \\ c = \frac{1}{3} \: \\ a = 3 \\ so \: the \: function \: is \: \\ y = 3 {x}^{2} + \frac{1}{3}](https://tex.z-dn.net/?f=the%20%5C%3A%20function%20%5C%3A%20is%20%5C%3Ay%20%3D%20%20a%20%7Bx%7D%5E%7B2%7D%20%20%2B%20c%20%5C%5C%20then%20%5C%3A%20we%20%5C%3A%20put%20%5C%3A%20%280%20%5C%3A%20%20%5Cfrac%7B1%7D%7B3%7D%20%29%20%5C%3A%20and%20%5C%3A%20%28%20-%203%20%5C%3A%20%20%20%5C%3A%20%5Cfrac%7B82%7D%7B3%7D%20%29%20%5C%3A%20in%20%5C%3A%20the%20%5C%3A%20function%20%20%5C%5C%20%20then%20%5C%3A%20we%20%5C%3A%20got%20%5C%5C%20c%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5C%5C%20%20%5Cfrac%7B82%7D%7B%203%7D%20%20%3D9a%20%2B%20c%20%20%5C%5C%20then%20%5C%3A%20we%20%5C%3A%20can%20%5C%3A%20solve%20%5C%3A%20that%20%5C%3A%20%5C%5C%20c%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5C%3A%20%20%5C%5C%20a%20%3D%203%20%5C%5C%20so%20%5C%3A%20the%20%5C%3A%20function%20%5C%3A%20is%20%5C%3A%20%5C%5C%20%20y%20%20%3D%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B3%7D%20)
hope this would help you .
To make sure we don't have negatives under the square root, we specify that
![x \ge 0](https://tex.z-dn.net/?f=x%20%5Cge%200)
(x is greater than or equal to 0). We'll use this fact later on
--------------------------------------------
Start with the given inequality
![\sqrt{x} \le 7](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20%5Cle%207)
and square both sides to get
![x \le 49](https://tex.z-dn.net/?f=x%20%5Cle%2049)
. Couple this with the fact that
![x \ge 0](https://tex.z-dn.net/?f=x%20%5Cge%200)
means we have this compound inequality
![0 \le x \le 49](https://tex.z-dn.net/?f=0%20%5Cle%20x%20%5Cle%2049)
What does this mean? It means that we can pick any value from 0 to 49 (including both endpoints) and it will be a solution to the inequality. This applies to the values
49, 48 and 44Answers: Choice C, Choice D, Choice E
Answer:
Examples of non-integers include decimals, fractions and imaginary numbers. For example, the number 3.14, which is the value for pi, is a non-integer. Another non-integer is the mathematical constant e, known as Euler's constant, which is equal to about 2.71.
Step-by-step explanation: