Answer:D
Step-by-step explanation:
Hope this was right.
Answer:
10/81
Step-by-step explanation:
let,
y=kx
y=10 when x=9
so,
10=k×9
or, k=10/9
when x=1/9
y=kx
or, y=(10/9)×(1/9)
or, y=10/81
Answer:
0y=(x-1)2-2
Step-by-step explanation:
all about addition and subtraction
Answer:
Step-by-step explanation:
Various scientific studies have been made regarding this topic and it has been stated that a child needs between 1,600 to 2,200 per day in order to develop a healthy immune system to survive in this world. This includes a balanced diet with all of the necessary nutrients. Including...
- Protein
- Calcium
- Iron
- Fats
- Fiber
- Vitamins
The vitamins would be
- vitamin A
- vitamin C
- vitamin D
An example of a balanced diet that includes all of these nutrients and diversifies the food pyramid would be the following,
Yogurt with cereal, and seeds
Chicken with Pasta and Broccoli
Fruit Salad, including strawberries, oranges, mangos, etc.
so it's obvious, I guess :)
Now, let's prove
is not rational number.
Proof by contradiction.
Let assume
is a rational number. Therefore it can be expressed as a fraction
where
and
.
![\sqrt[3]{12}=\dfrac{a}{b}\\\\12=\dfrac{a^3}{b^3}\\\\a^3=12b^3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B12%7D%3D%5Cdfrac%7Ba%7D%7Bb%7D%5C%5C%5C%5C12%3D%5Cdfrac%7Ba%5E3%7D%7Bb%5E3%7D%5C%5C%5C%5Ca%5E3%3D12b%5E3)
is an even number, so
must also be an even number, and therefore also
must be an even number. So, we can say that
, where
.
![(2k)^3=12b^3\\\\8k^3=12b^3\\\\2k^3=3b^3](https://tex.z-dn.net/?f=%282k%29%5E3%3D12b%5E3%5C%5C%5C%5C8k%5E3%3D12b%5E3%5C%5C%5C%5C2k%5E3%3D3b%5E3)
Since
is an even number, then also
must be an even number. 3 is odd, so for
to be an even number,
must be an even number, and therefore
is an even number.
But if both a and b are even numbers, then it contradicts our earlier assumption that
. Therefore
is not a rational number.