Answer: Hi, so here you have 9 bands and time fo only 7, then if the order matters, for the first band you have 9 options, for the second you have 8 options (because one of them already played), for the third band you have 7 options, and so on.
the total number of combinations is 9*8*7*6*5*4*3 = 181440 combinations
If the order of the band doesn't matter, then you need to do the combinatory between 9 and 7 is:
= 36 combinations, that is the same of dividing 181440 by 7!.
Answer:
20%
Step-by-step explanation:
We were given a price at $50 on sale for $40. To get the markdown percentage, take the amount of money you've discounted the merchandise at and divide it by the sales price.
$50 sweaters, you can put them on sale for $40.
The difference between these two prices is $10.
Now, we need to add the amount of which it was marked down
Therefore, the watch has been marked down by 20%.
Answer:
39
Step-by-step explanation:
Quadratic Function
We are given the function
1) Find the zeros of the function
The zeros or roots of f, are found by equating it to 0:
The standard representation of a quadratic function is:
where a,b, and c are constants.
Solving with the quadratic formula:
The coefficients can be established by comparing the generic equation with the given equation, thus: a=1, b=19, c=60. Substituting:
Operating:
The smaller root is -15, the larger root is -4. Answer:
-15
-4
2) The quadratic equation can be also written in vertex form:
Where a is the leading coefficient and (h,k) is the vertex.
To find this form, we need to complete squares as follows.
We need to recall this identity:
Comparing the given function, we can see the first term is t=a, the second term should be 2ab=19t, thus b=19/2
To complete the square, we need to add and subtract b^2 as follows:
Now we apply the identity:
Finally, we add 121/4:
Comparing with the vertex form of the quadratic function:
a=1
Vertex: (19/2,-121/4)