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Usimov [2.4K]
1 year ago
8

The polynomial function f(x)=-x^3+x^2+14x-24 has zeros at x=-4, x=3, and x=2. Which of the following graphs represents the funct

ion?

Mathematics
1 answer:
weqwewe [10]1 year ago
6 0

Answer:

Assuming the choices are only of C and D, D would be the graph of the function.

Step-by-step explanation:

There are many things that would cause D to be the graph of f(x).

Firstly, D has the end behavior of a -x^{3} function.

Secondly, it has correct zeroes

Lastly, Its y-intercept is -24, which is the case of the function f(x) as

f(0) = -24

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Function f is a cosine function with period 8π, amplitude 3, and a local maximum at f(0) = –3. What is the equation of the midli
alisha [4.7K]

Answer:

y = 0

Step-by-step explanation:

Since there is no indication of a shift in the graph of f(x) = 3cos(-0.25x), then the midline must be the normal midline for a cosine or sine function which is: y = 0.

8 0
2 years ago
Read 2 more answers
A machine is set to fill the small-size packages of m&m candies with 56 candies per bag. a sample revealed: three bags of 56
luda_lava [24]

In statistics, the amount of degrees of freedom is the quantity of values in the final computation of a statistic that are free to differ. In this case, you can get the answer by adding the number of bags and subtracting 1.

So in computation, this would look like: 3 + 2 + 1 + 2 - 1 = 7

Therefore, 7 is the degrees of freedom.

7 0
2 years ago
The distribution of heights of a certain breed of terrier has a mean of 72 centimeters and a standard de- viation of 10 centimet
RSB [31]

Answer:

Pr(X-Y ≤ 44.2) = 0.5593

Step-by-step explanation:

for a certain breed of terrier

Mean(μ) = 72cm

Standard deviation (σ) = 10cm

n = 64

For a certain breed of poodle

Mean(μ) = 28cm

Standard deviation (σ) = 5cm

n = 100

Let X be the random variable for the height of a certain breed of terrier

Let Y be the random variable for the height of a certain breed of poodle

μx - μy = 72 -28

= 44

σx - σy = √(σx^2/nx + σy^2/ny)

= √10^2/64 + 5^2/100

= √100/64 + 25/100

= √ 1.8125

= 1.346

Using normal distribution,

Z= (X-Y- μx-y) / σx-y

Z= (44.2 - 44) / 1.346

Z= 0.2/1.346

Z= 0.1486

From the Z table, Z = 0.149 = 0.0593

Φ(z) = 0 0593

The probability that the difference of the observed sample mean is at most 44.3 is Pr(Z ≤ 44.2)

Recall that if Z is positive,

Pr(Z≤a) = 0.5 + Φ(z)

Pr(Z ≤ 44.2) = 0.5 + 0.0593

= 0.5593

Therefore,

Pr(X-Y ≤ 44.2) = 0.5593

5 0
1 year ago
each month luke earns a salary of 3500 plus 15%at the total ampount of his sales for the month luke earned 4760 in march .what w
sineoko [7]
Hey. Let me help you on this one.

In order for us to solve this problem, we will need to determine how much money Luke has earned from the sales this month, and find the total amount of sales in dollars.

I will also be attaching an image to this answer in case you still don't understand the question, or need extra help with your studies.

We know that Luke's salary is $3500, and anything above that amount of money comes from sales he makes. We also know that he only gets 15% from sales. Let's determine how much he earned from sales this month.

4760-3500=1260

Luke has earned $1260 from the sales he made. Since it's only 15% of the full amount, we need to convert this value to 100%. We can do this by finding 1% of the unknown number, and multiplying it by 100 to show the full amount of sales.

Let's find 1% of the total amount of sales. Since 1260 is 15% of the unknown total, let's divide it by 15.

\frac{1260}{15} =84

Great. $84 is 1% of the total amount of sales. All we need to do is multiply it by 100 to show 100% of the total amount of sales.

84*100=8400

Awesome. We now know the amount of sales in dollars that Luke has brought to the company.

Answer: Total amount of Luke's sales in dollars is $8400

5 0
1 year ago
Determine the product of (46.2 × 10–1) ⋅ (5.7 × 10–6). Write your answer in scientific notation.
likoan [24]

Answer:

Step-by-step explanation:

a) = 46.2 X 10∧-1

   =0.462

b) = 5.7 x 10∧-6

   = 0.00057

3 0
2 years ago
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