Answer:
Option A, 4(x + 2)(x - 2)
Step-by-step explanation:
<u>Step 1: Pull out a 4
</u>
<em>4(x^2 - 4)
</em>
<u>Step 2: Factor x^2 - 4
</u>
x^2 - 4
<em>(x + 2)(x - 2)
</em>
<u>Step 3: Combine
</u>
<em>4(x + 2)(x - 2)
</em>
Answer: Option A, 4(x + 2)(x - 2)
Answer: The answer is 161
Step-by-step explanation: First you write 5 and 115 as a proportion, 5/115, (for every 5 gallons you can go 115 miles). Then you find out how much you can go with 1 gallon, divide by 5. Then multiply that by 7, since that is how many gallons you need to find out.
Hope this is helpful!
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)
1/3 hope this helps ive tooken the test
Answer:
that is going to be that is going to be 4 * 4 0. so the answer is 160 quarters because there's four quarters in a dollar so yeah
