What is the negative zero of the quadratic function f(x) = 4x2 – 81?

Answer: 824 Miles

Step-by-step explanation:435 + 389

The z-score with probability 0.225 to the right is 0.15 and the z-score with probability 0.900 to the left is -1.28. This can be calculated using the Z-score table for a standard normal distribution.

(a) Probability 0.225 to the right is equal to z-score 0.15.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the right of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of 0.15 is 0.225, which is the probability to the right.

(b) Probability 0.900 to the left is equal to z-score -1.28.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the left of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of -1.28 is 0.900, which is the probability to the left.

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The maximum value of the data in the box-and-whisker plot is 75.

A box-and-whisker plot is a standardized representation of statistical data on a plot using a rectangle drawn to represent the distribution of data under five summaries: “minimum”, first quartile [Q1], median, third quartile [Q3], and “maximum.”

The inside vertical line indicates the median value while the lower and upper quartiles are horizontal lines on either side of the rectangle.

Minimum value = 10
Median = 35

Maximum value = 75

Thus, the maximum value, which shows the end of the line, of the data distribution of this box-and-whisker plot is 75.

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The inverse function {f⁻¹(x)} for the function f(x) is -

f⁻¹(x) = (3x + 2)/(x - 1)

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the function f(x) as -

f(x) = (x + 2)/(x - 3)

We can write the function f(x) as -

f(x) = (x + 2)/(x - 3)

We can find the inverse function {f⁻¹(x)} as follows -

y = (x + 2)/(x - 3)

x = (y + 2)/(y - 3)

x(y - 3) = y + 2

xy - 3x = y + 2

xy - y = 3x + 2

y(x - 1) = 3x + 2

y = (3x + 2)/(x - 1)

f⁻¹(x) = (3x + 2)/(x - 1)

Therefore, the inverse function {f⁻¹(x)} for the function f(x) is -

f⁻¹(x) = (3x + 2)/(x - 1)

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{Question in english -

perform the inverse of the following function f(x)=x+2/x-3}

Answer:

c

Step-by-step explanation:

um whats your taco bell order

A quadratic equation is an equation whose leading coefficient is of the second degree. The correct option is C.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Its roots are given as:

\(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

The second-degree polynomial function that has roots –3 and 5 are,

f(x) = (x+3)(x-5)

f(x) = x² + 3x - 5x -15

f(x) = x² - 2x - 15

Now, it is needed that the polynomial's leading coefficient should be 2. Therefore, the polynomial should be multiplied by 2. Thus, the polynomial will be,

f(x) = 2x² - 4x - 30

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P represents the amount the 12th caller receives if this caller is the first to answer the question correctly.

During a radio contest, $25 is added to the prize money each time a caller answers the contest question incorrectly. The first caller has a chance to win $150.

The equation that represents the amount the 12th caller receives if this caller is the first to answer the question correctly is given by;

P = $150 + ($25 × 11) + P

where P is the prize money for the 12th caller who answers the question correctly.

$25 is added to the prize money each time a caller answers the contest question incorrectly.

And the first caller has a chance to win $150.

To determine the prize money for the 12th caller who answers the question correctly, we add $25 × 11 to $150. Therefore, the equation is P = $150 + ($25 × 11) + P.

Here, P represents the amount the 12th caller receives if this caller is the first to answer the question correctly.

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Answer:

(10+t)*25

Step-by-step explanation:

25 students so the cost for 1 student needs to be multiplied by 25 for all the students

If lunch costs $10 by itself not including the ticket, we don't know how much the ticket costs so lets say ticket cost = t

$10+t = the cost for ONE student

but there are 25 students so, ($10+t)*25 could work

Expressions don't have equal signs so the total is  (10+t)*25

The average number of credit hours per semester for all students at the local college is 9.2.

It is given that,

at the local college a study sound that students earned an average of 9.2 credit hours per semester.

⇒ x = 9.2 credit hours per semester

Therefore by the central limit theorem,

x = μ  = 9.2 credit hours per semester

The central limit theorem states that the distribution of a sample variable approximates a normal distribution as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population's actual distribution shape.

Therefore the average number is 9.2 credit hours per semester for all students at the local college.

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There may also possible that system may contain infinitely many solutions because matrix is 5 x 3

What does matrix mean in reality?

They are employed in a range of scientific endeavors, including the production of graphs, statistics, calculations, and research projects.  

                               Real-world statistics like population, infant mortality rate, and other data are also represented using matrices.

we know that  Ax = b is

and   b = x1 a1 +x2 a2 +x3 a3 ,

given condition is b  = a1+a2  = a2+a3

we see from the condition above that one solution is x1 = 1, x2 = 1, x3 = 0 and another is x1 = 0, x2 = 1, x3 = 1. Therefore   there are at least two solutions.

there may also possible that system may contain infinitely many solutions because

matrix is 5 x 3

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Answer:

n - 58

Step-by-step explanation:

58 less than n is n - 58

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

For this you can use any variable but ill use x:

x = n-58

The domain and the range of the graphare

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is a quadratic function

The rule of an quadratic function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

In this case, it is -2

So, the range is y > -2

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hmmmmmmmmmm the. answer. is 9/7

The product 3 x 3/7 as a fraction can be written as 9/7.

Given are two numbers 3 and 3/7.

We have to find the product of these numbers.

These numbers has to written as the product as a fraction.

When a fraction is multiplied by a whole number, the whole number is multiplied with the numerator of the fraction by keeping the denominator same.

Here whole number is 3 and the fraction is 3/7

3 x 3/7 = (3 x 3) / 7

           = 9/7

Hence the product is 9/7.

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Answer:

Step-by-step explanation:

Given the radius of the base of the cone is 5 cm and the height of the cone is 12 cm, we can find the volume of the toy as follows:

Volume of the cone:

The volume of a cone can be found using the formula: V = (π * r^2 * h) / 3, where r is the radius and h is the height of the cone.

Plugging in the values, we get:

V = (π * 5^2 * 12) / 3 = 100π cm^3

Volume of the hemisphere:

The volume of a hemisphere can be found using the formula: V = (4/3) * π * r^3, where r is the radius of the hemisphere.

Plugging in the values, we get:

V = (4/3) * π * 5^3 = (4/3) * π * 125 = 500π / 3 cm^3

Total volume of the toy:

The total volume of the toy is equal to the sum of the volume of the cone and the volume of the hemisphere:

V = 100π + 500π / 3 = (100 + 500 / 3) * π = 600π / 3 cm^3

So, the total volume of the toy is 600π / 3 cubic centimeters.

Answerpizza:

Step-by-step explanation:

From the attachment, the missing side is B. 21.0.

Trigonometric functions are basic functions which can be used to determine the missing value of a right angled triangle when given the value of one of its internal angles. Some of these functions are; sine, cosine, tangent etc.

To determine the value of the missing side x, we have to apply the appropriate trigonometric function. Thus we have;

Sin θ = opposite/ hypotenuse

Sin 65 = 19/ x

So that;

x = 19/ 0.9631

  = 20.964

x = 21

From the attachment, the missing side is 21.0. Thus option B.

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Alexa would have to pay a total of $75 if she goes on 10 rides at the amusement park. She would have to pay 35 + 4n if she goes on r rides.

If Alexa goes on 10 rides at the amusement park, she would have to pay:

35 (price of admission) + 10 * 4 (price of 10 rides)

= $35 + $40

= $75

If Alexa decides to go on 'n' rides at the amusement park, the total cost for her would be:

35 (price of admission) + n * 4 (price of n rides)

= $35 + $4n

To find out how many rides does Alexa need to go on to keep her total cost under $75, we can set up the inequality:

35 + 4n < 75

Subtracting 35 from both sides, we get:

4n < 40

Dividing by 4 on both sides, we get:

n < 10

Therefore, Alexa can go on 9 rides or less to keep her total cost under $75.

In general, the total cost that Alexa would need to pay for admission and 'n' rides at the amusement park is given by the function:

C(n) = 35 + 4n

where n is the number of rides, and C(n) is the total cost that Alexa would need to pay.

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Answer:

y =  -2x + 10

Step-by-step explanation:

The equation in point slope form is expressed using the equation

y - y1 = m(x - x1) where;

m is the slope = -2

(x1, y1) is the point on the line = (4,2)

Substitute into the formula:

y - 2 = -2(x - 4)

y -2 = -2x + 8

y = -2x +8 +2

y = -2x + 10

Hence the required equation of the line is y =  -2x + 10

Answer:

Step-by-step explanation:

Middle School:

Find the median by arranging the data points from smallest to largest.

1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)

7/2 = 3.5

High School:

1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)

4/2 = 2

Most of the points in the middle school plot are four or less.

A (High school students had more variation.)

To calculate 20 percent of the existing field cost, you would need to multiply the field cost by 0.20.

This will give you the amount of the cost that represents 20 percent of the total.

For example, if the existing field cost is $10,000, the calculation would be:
$10,000 x 0.20 = $2,000
20 percent of the existing field cost is $2,000.

To calculate 20 percent of the existing field cost, you can use the following expression:
Existing Field Cost x 0.20 = 20% of Existing Field Cost

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The probability that the mean number of hours spent playing video games is less than 42.8 hours  is   0.15866

we are  given the  mean of ( m )= 43 hours and the standard deviations (s) of  2 hours, where the sample size (n) =  100.

Obtain the Zscore ;

Z = (x - m) ÷s/sqrt(n)

Z = (42.8 - 43) ÷ 2/sqrt(100)

Z = - 0. 2 ÷ 0.2

Z = - 1

so we need the probability of P(Z < - 1), from the  table  of  z-score  the probability of a z-score of -1  is   0.15866.Hence, the probability that the mean number of hours spent playing video games is less than 42.8 hours is 0.15866

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Answer:

the answer is c I believe

The balance after 6 years on an account that pays 5.5% annual interest compounded continuously with an initial deposit of $975 is $1,356.19.

Continuous compounding involves calculating the interest earned on a principal amount continuously over time, which results in a higher overall balance than other compounding frequencies.

Using the formula A = Pe^(rt), where A is the final balance, P is the initial deposit, r is the interest rate, and t is the time, we can calculate the balance after 6 years as A = 975e^(0.055*6) = $1,356.19. Therefore, the correct answer is option D, $1,356.19.

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Once you have computed the expected value, you can mark your guess on the graph by finding the point where the curve is balanced. This is the point where the area to the left of the point is equal to the area to the right of the point.

A probability density function is a function that describes the likelihood of a random variable taking on a certain value. The area under the curve of a probability density function must be equal to 1. The normalizing constant, denoted by k, is a constant that is multiplied by the probability density function to ensure that the area under the curve is equal to 1. In other words, k is the value that makes the integration of the probability density function equal to 1.

To find the value of k, you would need to integrate the probability density function over its entire range and set the result equal to 1. Once you have found k, you can sketch the density function by plotting the function on the y-axis and the possible values of x on the x-axis.

The expected value of a random variable is a measure of the center of its distribution. It represents the average value that the variable would take if it were repeated many times. To compute the expected value of a continuous random variable, you would need to integrate the product of the random variable and its probability density function over its entire range.

Once you have computed the expected value, you can mark your guess on the graph by finding the point where the curve is balanced. This is the point where the area to the left of the point is equal to the area to the right of the point.

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Answer:

angle E is 15 dgeree

Step-by-step explanation:

hypotenuse is the side opposite to 90 degree. So, here hypotenuse is DE.

take angle E as reference angle .Then,

opposite=DF = 23 feet

hypotenuse=DE = 90 feet

using sin rule

sin E =opposite/hypotenuse

sin E=23/90

sin E=0.255

E = \(sin^{-1} (0.255)\)

E=14.77

E=15 degree

fourty four percent hope this helps !

The value of y can be determined by solving the system of equations derived from the given information. The correct equation is y = 2.

Let's assign variables to the unknowns. Let x represent the value of x and y represent the value of y. We can form two equations based on the given information:

The sum of two times x and 3 times y is 5:

2x + 3y = 5

The difference of x and y is 5:

x - y = 5

To find the value of y, we can solve this system of equations. One way to do this is by elimination or substitution. Let's use substitution to solve the system.

From equation 2, we can express x in terms of y:

x = y + 5

Substituting this value of x into equation 1:

2(y + 5) + 3y = 5

2y + 10 + 3y = 5

5y + 10 = 5

5y = -5

y = -1

Therefore, the value of y is -1, which corresponds to option d: y = -1.

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