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const2013 [10]
1 year ago
7

If x = 3 is a zero of the polynomial function f(x) = 2x3 + x2 − 25x + 12, which of the following is another zero of f(x)? ASAP

Mathematics
1 answer:
olasank [31]1 year ago
7 0
If x = 3 is a solution, (x - 3) is a factor of f(x).
2x³ + x² - 25x + 12 ÷ (x - 3) [by long division] = 2x² + 7x - 4
so f(x) = (x - 3)(2x² + 7x - 4)
f(x) = (x - 3)(2x - 1)(x + 4)
so 'zeros', or more correctly solutions, are: x = 3, x = 1/2 and x = -4.
[by setting each of the factors equal to 0 and solving for x].
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Simplify three to the negative ninth divided by three to the negative twelfth.
frutty [35]
When you divide, the exponents subtract. -9 - (-12) = 3
3^3 = 27.
8 0
2 years ago
Read 2 more answers
A sheriff is interested in the average speed that people drive on Highway 50. Match the vocabulary word with its corresponding e
aleksandr82 [10.1K]

Answer:

1. Statistics

2. Sample

3. Population

4. Variable

5. Data

6. Parameter

Step-by-step explanation:

1. Statistics is the mean of the sample taken - The average speed that the 250 randomly selected drivers drove on Highway 50

2. Sample is the representative part of the population - The 250 randomly selected drivers who were on Highway 50

3. Population is the group of people from which the sample was taken - All people who drive on Highway 50

4. Variable is a quantity that has values which differ - The speed that a driver drives on Highway

5. Data is information obtained used for a specific purpose - The list of the 250 speeds that the drivers studied drove

6. Parameter is the mean of a population - The average speed that all drivers go on Highway 50

4 0
2 years ago
If a random variable X is exponentially distributed with parameter λ=2, then P(X≥1) is equal to
Rasek [7]

Answer:

D. 0.1353

B. 0.0473

Step-by-step explanation:

For an exponentially distributed random variable, the cumulative distribution function is:

P(x\leq a) = 1 - e^{-\lambda a}\\P(x\geq a) = e^{-\lambda a}

with parameter λ=2, then P(X≥1) is equal to:

P(x\geq 1) = e^{-2*1}=0.1353

D. 0.1353

with parameter λ=1.5, then P(2≤X≤4) is equal to

P(2\leq x \leq 4) = P(x \leq 4) - P(x\leq 2)\\P(2\leq x \leq 4) =1 - (e^{-1.5*4}) - (1-(e^{-1.5*2}))\\P(2\leq x \leq 4) = 0.0473

B. 0.0473

7 0
2 years ago
Given: m∠ATB = 63°, arc AB = 115° Find: arc DC
Flura [38]

Answer:

The measure of arc DC is 11\°

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

m\angle ATB=\frac{1}{2}[arc\ AB+arc\ DC]

substitute the given values

63\°=\frac{1}{2}[115\°+arc\ DC]

126\°=[115\°+arc\ DC]

arc\ DC=126\°-115\°=11\°

6 0
1 year ago
Write a polynomial of least degree with roots 9 and -3
Effectus [21]

Answer:

  y = x^2 -6x -27

Step-by-step explanation:

When "a" is a root, (x-a) is a factor. The minimum polynomial with the listed roots will be ...

  y = (x -9)(x +3)

  y = x^2 -6x -27

4 0
2 years ago
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