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)
The answer to this question is z=-5
Yes she will have have money to buy all the toppings
38/14= 2 10/14= 2 5/7
The answer is 2 5/7
Answer:
See explanation below.
Step-by-step explanation:
The equation is:
y = 7x + 6
This is the equation of a line in slope intercept form. The general form, where m is the slope and b is the y intercept is:
y = mx + b
In this case, with the equation:
y = 7x + 6
m is 7 and the y intercept is 6.
The y intercept means the point when x = 0:
(0, 6) is the y intercept point on the graph.
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