Answer:
There are ways for quickly multiply out a binomial that's being raised by an exponent. Like
(a + b)0 = 1
(a + b)1 = a + b
(a + b)2 = a2 + 2ab + b2
(a + b)3 = (a + b)(a + b)2 = (a + b)(a2 + 2ab + b2) = a3 + 3a2b + 3ab2 + b3
and so on and so on
but there was this mathematician named Blaise Pascal and he found a numerical pattern, called Pascal's Triangle, for quickly expanding a binomial like the ones from earlier. It looks like this
1 1
2 1 2 1
3 1 3 3 1
4 1 4 6 4 1
5 1 5 10 10 5 1
Pascal's Triangle gives us the coefficients for an expanded binomial of the form (a + b)n, where n is the row of the triangle.
Hope this helps!
Answer:
4 questions
Step-by-step explanation:
90% is the same as multiplying a number by 0.9. Let's say the number of questions on the quiz is x. This means the amount she got right was 0.9x. We are given this is 36, so we can set them equal and simplify:
0.9x = 36
x = 40
She must have gotten 40 - 36, or 4 questions wrong.
Answer:
= 
* 2 + 
Step-by-step explanation:
lets start with what we know.
the recipe calls for 2 
cups of yogurt. and Paolo doubles the recipe. so multiply the recipe for yogurt by 2
2 * 2 = 5 cups of yogurt.
the total of yogurt and oats is and we know how much yogurt we have so we subtract that from the total of both.
- 5 = 
the oats after doubling were cups so u divide it by 2
/ 2 = 
before doubling
If I’m correct the right answer should be A. 1,680) If I’m wrong plz let me know
Answer:
three times 3 is nine and six times three is eighteen, 3:6 is simplified.
