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gulaghasi [49]
2 years ago
14

Which of the following functions is quadratic? f(x)=3(x-4)(x+3), f(x)=5^2, f(x)=2/x, f(x)=2x^3+3x^2-5

Mathematics
1 answer:
DENIUS [597]2 years ago
8 0
In B 5^2 = 25. There is no x anywhere.
In C f(x) = 2/x is a function of a reciprocal, not a quadratic.
In D f(x) = 2x^3 + 3x^2 - 5 is a cubic. A cubic is not a quadratic. The highest power of a quadratic is x^2

That leaves A. When you expand the brackets, you get
3(x^2 + 3x- 4x - 12)
2(x^2 - x - 12) when you remove the brackets you get
2x^2 - 2x - 24. The highest power of x is x^2. This is your quadratic.

A<<<< answer.
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What is 5/15+3\5=? For the sum
Lesechka [4]

Answer:

14/15

Step-by-step explanation:

make both bases the same number

5/15 + 9/5

add like normally

14/15

6 0
3 years ago
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What is <br> 2/9 x 45 <br> Need the answer ASAP <br> Please
Soloha48 [4]

Answer: 10

Step-by-step explanation:

1. Write the fractions as 2/9 times 45/1.

2. Cross cancel 45 and 9 by dividing by 5, which now gives you 2/1 and 5/1.

3. Multiply 2/1 and 5/1 and you get 10.

I hope this helps!

8 0
3 years ago
The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the
Degger [83]

Using the normal distribution, we have that:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).
  • 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.
  • 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem, the parameters are given as follows:

\mu = 57, \sigma = 22, n = 17, s = \frac{22}{\sqrt{17}} = 5.3358

Hence:

  • The distribution of X is X \approx (57,22).
  • The distribution of \mathbf{\bar{X}} is \bar{X} \approx (57, 5.3358).

The probabilities are the <u>p-value of Z when X = 58 subtracted by the p-value of Z when X = 55</u>, hence, for a single movie:

X = 58:

Z = \frac{X - \mu}{\sigma}

Z = \frac{58 - 57}{22}

Z = 0.05.

Z = 0.05 has a p-value of 0.5199.

X = 55:

Z = \frac{X - \mu}{\sigma}

Z = \frac{55 - 57}{22}

Z = -0.1.

Z = -0.1 has a p-value of 0.4602.

0.5199 - 0.4602 = 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.

For the sample of 17 movies, we have that:

X = 58:

Z = \frac{X - \mu}{s}

Z = \frac{58 - 57}{5.3358}

Z = 0.19.

Z = 0.19 has a p-value of 0.5753.

X = 55:

Z = \frac{X - \mu}{s}

Z = \frac{55 - 57}{5.3358}

Z = -0.38.

Z = -0.38 has a p-value of 0.3520.

0.5753 - 0.3520 = 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
1 year ago
Find the area of the shaded region. Round your answer to the nearest tenth.
Troyanec [42]

Area of the square = (9 m)^2 = 81 m^2

The four circular sectors combine to form a circle with diameter 9 m, hence radius 4.5 m.

Area of the circle = π (4.5 m)^2 = 20.25π m^2

Then the area of the shaded region is

81 m^2 - 20.25π m^2 ≈ 17.4 m^2

7 0
3 years ago
Andrew has already played 32 minutes on his video game this morning and wants to play an additional 15 minutes on each of x game
belka [17]

Given :

Andrew has already played 32 minutes on his video game this morning and wants to play an additional 15 minutes on each of x games after school today.

To Find :

Which equation can be used to find y, the total minutes Andrew will play video games today.

Solution :

Number of minutes he play after school time, n = 15x .

Number of minutes already played, c = 32 .

So, total number of minutes he play games for today is :

y = n + c

y = 15x + 32

Therefore, equation which is useful to find number of minutes video game played per day is y = 15x + 32 .

8 0
2 years ago
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