C. f (x) = 18 (2/3)x-1
Step-by-step explanation:
I got it right on edge. please mark brainliest!!
£160 * (1+3%)^22 = £306.58 (correct to 2 decimal places)
Answer:
B
Step-by-step explanation:
(a^3/2) / a
= a^(1/2)
= √a
= B
Answer:
65625/4(x^5)(y²)
Step-by-step explanation:
Using binomial expansion
Formula: (n k) (a^k)(b ^(n-k))
Where (n k) represents n combination of k (nCk)
From the question k = 5 (i.e. 5th term)
n = 7 (power of expression)
a = 5x
b = -y/2
....................
Solving nCk
n = 7
k = 5
nCk = 7C5
= 7!/(5!2!) ------ Expand Expression
=7 * 6 * 5! /(5! * 2*1)
= 7*6/2
= 21 ------
.........................
Solving (a^k) (b^(n-k))
a = 5x
b = -y/2
k = 5
n = 7
Substituting these values in the expression
(5x)^5 * (-y/2)^(7-5)
= (3125x^5) * (-y/2)²
= 3125x^5 * y²/4
= (3125x^5)(y²)/4
------------------------------------
Multiplying the two expression above
21 * (3125x^5)(y²)/4
= 65625/4(x^5)(y²)
Answer:
3 x^4 + -75
Step-by-step explanation:
Expand the following:
3 (x^2 + 5) (x^2 - 5)
(x^2 + 5) (x^2 - 5) = (x^2) (x^2) + (x^2) (-5) + (5) (x^2) + (5) (-5) = x^4 - 5 x^2 + 5 x^2 - 25 = x^4 - 25:
3 x^4 - 25
3 (x^4 - 25) = 3 x^4 + 3 (-25):
3 x^4 - 25×3
3 (-25) = -75:
Answer: 3 x^4 + -75
