<span>When creating a subset of 5 elements from 7 elements, order should not matter. Therefore, we use the combination formula over the permutation formula.
The combination formula given n elements total and r elements used is n! / [r!*(n-r)!]. Substituting 7 for n and 5 for r, we get:
7! / (5!*2!) = 7*6 / 2 = 21
21 subsets can be created</span>
Answer:
-4y-2
Step-by-step explanation:
-4(y+1)+2
-4 times y is -4y
-4 times 1 is -4
-4y-4 plus 2
is 4y-2
Answer:
We have been given an equation 
We will factorize it by middle term splitting.
Step 1: 
Taking common factors out by clubing first two terms ad last two terms
Step 2: 
Step 3: 
Equating both above factors to zero as:
Step 4: 
And 
.
Ok so, we have the fact that 1.20 per mile Lets represent m as each additional mile so we have 1.20m which is That much per additional mile So For the first 5 functions we have f(1) = 20 f(2) = 20 f(3) = 20 f(4) = 20 f(5) = 20 Only for the first 5 miles though, since it is a flat fee. So for the additional miles we go back to what I said in the first Paragraph. 1.20m That is for additional miles, so that will be added to 20 So if you travel more than 5 miles the function looks like this: f(x) = 20 + 1.20m So the first 5 miles it is: f(x) = 20 For 7 mles the function would look like: f(7) = 20 + 1.20(2) It is a 2 because it is the additional mile, which is 2 hope this helps
Answer:
x = (1 + sqrt(253))/14 or x = (1 - sqrt(253))/14
Step-by-step explanation:
Solve for x:
7 x^2 = x + 9
Subtract x + 9 from both sides:
7 x^2 - x - 9 = 0
x = (1 ± sqrt((-1)^2 - 4×7 (-9)))/(2×7) = (1 ± sqrt(1 + 252))/14 = (1 ± sqrt(253))/14:
Answer: x = (1 + sqrt(253))/14 or x = (1 - sqrt(253))/14
