If a polynomial p(x) is divisible by q(x), the roots of q(x) are roots of p(x), too.
In this question, p(x)=x³+6x²+kx+12 and q(x)=x+4. Clearly, the root of q(x) is -4. By what was written initially, -4 is a root of p(x). So:
Step-by-step explanation:
so the ratio of the recipe is 32/48 of pineapple juice and orange juice.
that can be simplified to the ratio of 2/3.
now, she has only 20 floz of pineapple juice.
20/x = 2/3
60/x = 2
60 = 2x
x = 60/2 = 30
she needs 30 floz of orange juice with the 20 floz of pineapple juice to maintain the prescribed ratio for fruit punch.
10 - 2 = 8
Biggest number subtracted by the smallest number is range.
Answer:
7/10-2/5 = 7/10 - 4/10 = 3/10
The approximate difference in their volumes is 17.2 cubic inches
<h3>How to determine the difference in the volume?</h3>
The given parameters are:
Diameter, d = 2.8
Diameter, D = 3.8
The radii are the half of the diameter.
So, we have:
r = 1.4
R = 1.9
The volume of the balls is then calculated using:
The difference is then represented as:
Substitute known values
Evaluate
D = 17.2
Hence, the approximate difference in their volumes is 17.2 cubic inches
Read more about volumes at:
brainly.com/question/1972490
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