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2 years ago

use the rational zeros theorem to write a list of all potential rational zeros. f(x) = x^3 - 10x^2 4x - 24

1 answer:

6 0

$f(x) = x^3 - 10x^2 4x - 24 \\\\24:\{\pm1;\ \pm2;\ \pm3;\ \pm4;\ \pm6;\ \pm8;\ \pm12;\ \pm24\}\\1:\{\pm1\}\\\\Answer:\boxed{\{\pm1;\ \pm2;\ \pm3;\ \pm4;\ \pm6;\ \pm8;\ \pm12;\ \pm24\}}$

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Isaac has a bag of n peanuts. He shares the peanuts with 5 of his friends. Each person gets at least 18 peanuts. Write an inequa

Setler [38]

Answer:

Total number of peanuts =n

He shared with 5 people = 6 people

Each person had at least 18

n/6>=18

Step-by-step explanation:

When question like this is given , the English is very important. He shares with his friends is different from he shares among his friends. Then also, at least means greater than or equal to.

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2 years ago

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Answer:

$a = \frac{v - u}{t} \:$

Step-by-step explanation:

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3 years ago

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2 years ago

Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each tool contains 15 ca

Rainbow [258]

Answer:

(A) 0.006593 or 0.6593%

(B) 0.01538 or 1.538%

Step-by-step explanation:

The total number of possibilities to pick 3 parts out of 15 possible parts is given by the following combination:

$n=\frac{15!}{(15-3)!3!}=\frac{15*14*13}{3*2*1}\\n=455\ ways\\$

(A) There are only three possibilities for which the inspector finds exactly one nonconforming part (NCC, CNC, CCN). Therefore, the probability is:

$P(N=1) = \frac{3}{455}=0.006593 =0.6593\%$

(B) There are three possibilities for which the inspector finds exactly one nonconforming part, three possibilities for two nonconforming parts (NNC, CNN, NCN), and one possibility for all nonconforming parts (NNN). The probability that the inspector finds at least one nonconforming part is:

$P(N>0) =P(N=1)+P(N=2)+P(N=3) \\P(N>0) = \frac{3}{455}+ \frac{3}{455}+ \frac{1}{455}\\P(N>0) =0.01538 =1.538\%$

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3 years ago

The number of members on an organization increases by an average of 125 members annually. There were 3,875 members in 1971. Choo

Lena [83]

Answer:

Mn = Mn-1 + 125 for n > 1 ; M1 = 3,875

Step-by-step explanation:

Since they tell us after 1970, the first data would be that of 1971 and also that if we started since 1970, we do not know the data of 1969, therefore answer B is correct.

Replacing:

Let M1 = 1971 then Mn-1, that is M0 = 1970, we know that the population of 1970 the population is 3750, because it would be 125 less than the subsequent year, and in 1975 there are 3875. Therefore:

in n = 1

M1 = M0 + 125

3875 = 3750 + 125

this gives an equality, thus fulfilling the equation.

8 0

3 years ago