<span>The answers for the given inequalities shown in the figures above are the following:
1. x+2y is bigger than or equal to 6 corresponds to the first graph.
2. x-2y>4 corresponds to the third graph.
3. y>3+(1/2)x corresponds to the second graph
4. 4y+2x is smaller than or equal to 16 corresponds to the fourth graph</span>

3 0

3 years ago

What's the mean of 8, 17, 9, 3, 13

Gnom [1K]

Mean is a form of average, and in order to find this we add up all the numbers then divide by the amount of numbers we have.

So, we have 5 numbers here. (8, 17, 9, 3, and 13)

8 + 17 + 9 + 3 + 13 = 50

50/5 = 10

The mean of those five numbers is 10.

6 0

3 years ago

Consider the following expression: (1 + x)^n. A) Use the Binomial Theorem to find the first four terms of this polynomial. B) Wh

sergiy2304 [10]

Given:

The expression: (1 + x)^n

The Binomial Theorem is used to predict the products of a binomial raised to a certain power, n, without multiplying the terms one by one.

The following formula is used:

(a + b)^n = nCk * a^(n-k) * b^k

we have (1 +x)^n,

where a = 1
b = x
let n = 4

First term, k = 1

4C1 = 4

first term: 4*(1^(4-1))*x^1

Therefore, the first term is 4x. Do the same for the next three terms.

2nd term: k =2
3rd term: k = 3
4th term: k = 4
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3 0

3 years ago