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deedee363
24.12.2019 •
Mathematics
The volume v (in cubic feet) of an aquarium is modeled by the polynomial function
v(x)=x3+2x2−13x+10
where x is the length of the tank.
a. explain how you know x = 4 is not a possible rational zero.
b. show that x - 1 is a factor of v(x). then factor v(x) completely.
c. find the dimensions of the aquarium shown.
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Ответ:
Step-by-step explanation:
Ответ:
Using Synthetic division we have the coefficients
1 2 -13 10
dividing it by -4 we get ↓ -4 8 20
1 -2 -5 30
a. as 30 is the remainder so x-4=0 or x=4 is not a possible ratio
b. for x-1 to be factor we divide it by x=1
1 2 -13 10
dividing it by 1 we get ↓ 1 3 -10
1 3 -10 0
we get zero as the remainder . this shows that x-1 is a factor .
Solution: (x² +3x- 10)(x-1)
c. Volume = L*B*H
V= (x² +3x- 10) (x-1)
V= (x² +5x-2x-10)(x-1)
V= (x(x+5) -2(x+5))(x-1)
V= (x-2)(x+5)(x-1)
L*B*H=(x-2)(x+5)(x-1)
L= 2,B= 1, H=5 feet (-) sign indicates opposite direction
Ответ:
Hello There!
There are 32.5 kilograms in 32,500 grams.
STEPS
Write the number of grams
Divide by 1,000 because a kilogram is 1,000 grams