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)
Fractions and decimals can be written as a percent
The graph is shown in figure below
The Solution Set is (-2,-3)
Step-by-step explanation:
We need to graph the equations and writ the solution.
For graphing we need to find the values of x and y.
For that, we need to solve the given equations:
Let:
We can solve this by using Substitution Method.
Putting value of y of eq(1) into eq(2) and finding value of x:
So, value of x = -2
Now put value of x in eq(1) to find value of y:
So, value of y = -3
Plotting on graph: x=-2 and y = -3
The graph is shown in figure below
The Solution Set is (-2,-3)
Keywords: graph the equations
Learn more about Graphing Equations at:
#learnwithBrainly
Answer:
3
Step-by-step explanation:
We know x = -2, so we can substitute -2 in for x
3x^2- 9
3*-2^2-9
Solve the exponent first (PEMDAS)
3*4-9
Multiply next
12-9
Subtract
3
Its either centimeters or inches.
I prefer centimeters
