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
<span />
Answer:
2x+9=12x-21
-2. -2
9=10x -21
+21 +21
30=10x
Divide by 10 on both sides
30/10
x=3
Step-by-step explanation:
Answer:
51.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Tan = Opposite/Adjacent
tan(D) = EF/FD = 95/75
D = arctan(95/75)
∠D ≈ 51.7°
Answer:
B. h(d) = 0.6d + 13; 13 days
Step-by-step explanation:
A zucchini plant in Darnell’s garden was 13 centimeters tall when it was first planted. Since then, it has grown approximately 0.6 centimeter per day. a. Write a rule to describe the function. b. After how many days will the zucchini plant be 0.208 meter tall?
Answer: h(d) = 0.6d + 13; 13 days
