D. 1/4
Explanation:
a perfect square is written in the form
(1)
In our problem, we have this perfect square:
(2)
with C being unknown. However, by comparing (1) and (2), we know that
So, we find
and therefore, the missing term must be
so the complete square is
Answer:
B.
Step-by-step explanation:
So there are 16 grams initally. Then, the amount of water decreases by 3.5%.
So first we must find 3.5% of 16. 3.5% in decimal form is 0.035, since you divide 3.5 by 100. Then, when you multiply 0.035 by 16, you get 0.56. Since the solution decreased by that percentage, you must subtract 0.56 from 16, which is 15.44.
Then the amount of water decreases by 4.25%. That in decimal form is 0.0425. You multiply it by 15.44, and it comes out to 0.6562. You subtract that from 15.44, not 16, since some of the water has evaporated. So you get 14.7838.
The requirement is that every element in the domain must be connected to one - and one only - element in the codomain.
A classic visualization consists of two sets, filled with dots. Each dot in the domain must be the start of an arrow, pointing to a dot in the codomain.
So, the two things can't can't happen is that you don't have any arrow starting from a point in the domain, i.e. the function is not defined for that element, or that multiple arrows start from the same points.
But as long as an arrow start from each element in the domain, you have a function. It may happen that two different arrow point to the same element in the codomain - that's ok, the relation is still a function, but it's not injective; or it can happen that some points in the codomain aren't pointed by any arrow - you still have a function, except it's not surjective.
Answer:
13
Step-by-step explanation:
To solve this, lets first find the number of footballs he still needs:
75-24 = 51
Now to find the number of packages, divide by 4, since there are 4 balls per package:
51/4 = 12 Remainder 3
Since there is a remainder, and the Coach MUST have at least 75, then we need to add a package to include the remainder:
12 + 1 = 13 Packages
Answer:
-3<x<3
Step-by-step explanation:
let y=0
0=x^2-9
0=(x+3)(x-3)
x=-3 and x=+3
