The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.
The equation is given as:
The possible next steps are:
1. Expand the equation as follows
2. Express x^2 -16 as a difference of two squares as follows
However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give
This is so, because the question says Amy is trying to solve for variable x.
This step will ensure that she gets the possible values of x, unlike expanding the whole equation .
Hence, the correct next step is
Read more about equations at:
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Answer:
4
Step-by-step explanation:
If two variables are proportional then
...(i)
where, k is constant of proportionality.
The given equation is
...(ii)
where,
s = number of cups of seltzer.
c = cups of cranberry juice.
On comparing (i) and (ii), we get
Independent variable: 
Dependent variable: 
Constant of proportionality: 
Therefore, the constant of proportionality is 4.
6. No, the conclusions wrong because 20 out of 50 peoples favourite is drawing which means 20/50 which equals 0.4 times 100 which is 40% not 60%
7. Yes, the conclusion is right because 5/50 is equal to 0.1 times 100 which is 10%
Answer:
2.45
Step-by-step explanation:
In order to add or subtract fractions, they must have the
same denominator. You need to change both of these
fractions to have the same denominator ... without changing
their values, of course.
The smallest common denominator for these fractions is 20 .
3/4 is the same amount as 15/20 .
3/5 is the same amount as 12/20 .
Now that they have the same denominator, you can do
the subtraction.
