f(x) = 2x² + 3x - 5; f(-4)

f(-4)=

Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

\(x+8y=190\quad ...(i)\)

\(x+5y=130\quad ...(ii)\)

Aplicando \((i)-(ii)\)

\(8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20\)

Sustituyendo en \((ii)\)

\(x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30\)

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.

A leaking faucet in the S&E building lab, dripping at a rate of one drop per second, will result in a water loss of approximately 4,725 liters in one year.

To calculate the amount of water lost in one year, we need to determine the number of drops per year and then convert it to liters. Since the faucet drips at a rate of one drop per second, there are 60 drops in a minute (60 seconds), which totals to 3,600 drops in an hour (60 minutes).

In a day, there would be 86,400 drops (24 hours * 3,600 drops). Considering a year of 365 days, the total number of drops would be approximately 31,536,000 drops (86,400 drops * 365 days). To convert the number of drops to liters, we need to multiply the total number of drops by the volume of each drop.

Given that each drop contains 0.150 milliliters, we convert it to liters by dividing by 1,000, resulting in 0.00015 liters per drop. Multiplying the total number of drops by the volume per drop, we find that the total water loss is approximately 4,725 liters (31,536,000 drops * 0.00015 liters/drop).

Therefore, in one year, the leaking faucet in the S&E building lab would result in a water loss of approximately 4,725 liters.

Learn more about milliliters here:

https://brainly.com/question/20320379

#SPJ11

Answer:

x=8.31

Step-by-step explanation:

We can use the Proportional Segments Theorem

9/26=x/24

26x=216

x=216/26=8.31

Answer:

i cant help much.

Step-by-step explanation:

To find the area of the circle you do π (pie) x radius squared.

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

Read more about Equivalent fractions at: https://brainly.com/question/17220365

#SPJ1

Answer:

Place one at (-7,-4) and the other at (-4,-6)

Step-by-step explanation:

SOLUTION:

Step 1:

In this question, we are given the following:

If you apply the changes below to the absolute value parent function, f(x)=|x|, what is the equation of the new function?

shift 5 units to the left

shift 4 units down

Step 2:

The details of the solution are as follows:

Answer:

f(x + 5) = |x + 5|, represents the requested change of 5 units to the left,

f(x) - 4 = |x| - 4, represents the requested change of 4 units down.

Step-by-step explanation:

The following rules will permit you to predict the equation of a new function after applying changes, especifically translations, that shift the graph of the parent function in the vertical direction (upward or downward) and in the horizontal direction (left or right).

Horizontal shifts:

Let the parent function be f(x) and k a positive parameter, then f (x + k) represents a horizontal shift of k units to the left, and f (x - k) represents a horizontal shift k units to the right.

Vertical shifts:

Let, again, the parent function be f(x) and, now, h a positive parameter, then f(x) + h represents a vertical shift of h units to upward, and f(x - h) represents a vertical shift of h units downward.

Combining the two previous rules, you get that f (x + k) + h, represents a vertical shift h units upward if h is positive (h units downward if h is negative), and a horizontal shift k units to the left if k is positive (k units to the right if k negative)

Hence, since the parent function is f(x) = |x|

f(x + 5) = |x + 5|, represents the requested change of 5 units to the left,

f(x) - 4 = |x| - 4, represents the requested change of 4 units down.

Furthermore:

f(x + 5) - 4 = |x + 5| - 4, represents a combined shift 5 units to the left and 4 units down.

CONCLUSION:

The final answer is:

f(x + 5) = |x + 5|, represents the requested change of 5 units to the left,

f(x) - 4 = |x| - 4, represents the requested change of 4 units down.

Given that AB has been dilated by scale factor 3 to form A'B', and by laws of dilation, the image is congruent to the pre image. This implies that the image will not change in any way whatsoever apart from the size. Hence the slope will remain the same. That means the slope of A'B' will be 3

lmk if im wrong :D

Let A be a matrix with linearly independent columns. None of the above statements is not true. So the option G is correct.

In mathematics, a matrix can be thought of as a rectangular array of numbers, symbols, or expressions. Matrices are commonly used in linear algebra, which is the study of mathematical operations involving vectors and matrices.

Matrices are used to represent linear equations, and they can be used to describe transformations such as rotations and reflections. Matrices can also be used to represent graph theory data, and to represent systems of equations.

A matrix with linearly independent columns is one in which each column is not a linear combination of the other columns. In other words, the columns are all independent from each other and cannot be expressed as a linear combination of the other columns. This means that the columns are all different and no two columns are the same.

To learn more about linearly independent matrix link is here

brainly.com/question/30584297

#SPJ4

Answer:

12,662 books

Step-by-step explanation:

Total number of books = 75,972

No. of science books = ⅓ of 75,972 = ⅓*75,972 = 25,324 books.

No. of business books = 75% of the remaining books = 75% of (75,972 - 25,324)

= \( \frac{75}{100}*50,648 = 37,986 \)

No. of business books = 37,986

No. of maths books in the math section = 75,972 - (25,324 + 37,986)

= 75,972 - 63,310

= 12,662 books

No, 3 is not greater than 5. This is because 5 is larger than 3.

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

3 and 5

No, 3 is not greater than 5. This is because 5 is larger than 3.

In other words, 5 is further to the right on the number line than 3.

We can also say that 5 is the greater number and 3 is the lesser number.

Read more about inequality at

https://brainly.com/question/30390162

#SPJ1

Answer:

It letter C!!

Step-by-step explanation:

oTheres no way you can write a negative twice with a top and bottom You can put the negative in the middle or one on ONE number  top or bottom but never can be both

Answer:

C.

For A and B where the negative is doesn't matter since the decimal form of both of these fractions is equal to -0.66667 (they are equal no matter where u put the negative sign). the decimal form of - 2/3 is also -0.666667. A good rule to know is that a negative divided by a negative or a negative multiplied by a negative is always a positive. in c, -2/-3 is actually  0.66667 meaning its incorrect.

Hard to explain through writing but hoped this helped

The quadratic regression equation that best fits the data is given as follows:

y = -0.127x² + 4.699x - 27.777.

Regression equations are obtained inserting the points of a data-set into a calculator.

In this problem, we want to find the quadratic regression equation, hence a quadratic regression calculator is used.

From the table given on the image, the points that will be used to build the quadratic regression equation are given as follows:

(16, 15), (18, 15.6), (20, 15.7), (21, 15), (23, 13.1), (26, 8.9), (27, 6.6).

Inserting these points into a calculator, the quadratic regression equation that best fits the data is given as follows:

y = -0.127x² + 4.699x - 27.777.

This means that the correct option is the fourth and last option.

More can be learned about regression equations at https://brainly.com/question/29613968

#SPJ1

Answer:

B

Step-by-step explanation:

In the middle of the kite, there are 4 angles that are the same (90*)

So using the given angle 54 and the 90* we can find the last angle

54 + 90 = 144

180 - 144 = 36

The left-over angle is 36*

The trigonometric values for a right triangle can be obtained through the measurements of the different sides,

this can be found in a triangle like this,

then, identify the measurements in the given triangle

then,

Answer:

24.95-6.95= 18

18 divided by 8 = 2.25

So each tube of paint cost 2.25 dollars

Step-by-step explanation:

for the first equation we are subtracting the cost of the canvas from the total cost to find the cost of 8 tubes of paint and we get that 8 tubes of paint cost 18 dollars. Next we divide 18 by 8 to get the cost of a single tube of paint and we get 2.25.

Answer:

2b( 12 - 17a)

Step-by-step explanation:

This is the answer because:

1) Fator 2b out of 24b - 34ab:

2b x 12 = 24b = 24b ÷ 2b = 12

2b x 17a = 34ab = 34ab ÷ 2b = 17a

Therefore, the answer is 2b( 12 - 17a).

Hope this helps! :D

Answer:

2b( 12 - 17a)

Step-by-step explanation:

good? same test i have and i fail the said this was the answer

Answer:

Step-by-step explanation:

Step-1: Take -2y on the LHS and take the 7 on the RHS.

Step-2: Divide 2 both sides

Hence, the equation is y = 3x/2 - 7/2.

The relationship between the number of buses, number of cars and the students is an illustration of a linear equation.

The number of bus on the trip is 7

Let:

\(b \to bus\)

\(c \to car\)

\(c = 13\) --- students that traveled by car

\(Total = 328\) --- the total number of students

So, the equation is:

\(45b + c = Total\)

Substitute values for c and Total

\(45b + 13 = 328\)

Collect like terms

\(45b = 328 - 13\)

\(45b = 315\)

Divide both sides by 45

\(b = 7\)

Hence, the number of buses on the trip is 7

Read more about linear equation at:

https://brainly.com/question/11897796

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

This data would be considered "paired" data.

The population of ferrets from which our sample was drawn, represented as μd, where μd = μend - μstart, and μ represents the population mean.

       We are dealing with "paired" data since we are comparing the weights of the same ferrets at two different points in time.

      The parameter we are trying to estimate is the mean difference in weight between the start and end of the study for the population of ferrets from which our sample was drawn.

This mean difference in weight can be represented as μd, where μd = μend - μstart, and μ represents the population mean. To estimate this parameter, we would need to calculate the difference in weight for each ferret and then take the average of these differences. This estimate would then provide us with an understanding of how much, on average, the ferrets in the population have gained or lost weight over the course of the study.  

Learn more about parameter

brainly.com/question/30757464

If a resident who is 40 or older is chosen at random, the probability that they have completed a bachelor's or master's degree is given as follows:

0.436 = 43.6%.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The desired and total outcomes for the conditional probability in this problem are given as follows:

Hence the number of total outcomes is given as follows:

3827 + 7106 = 10933.

(40-49 + 50 and over).

The number of desired outcomes is given as follows:

726 + 655 + 2160 + 1226 = 4767.

(either master's or bachelor's degree's for both age intervals).

Hence the probability is calculated as follows:

p = 4767/10933

p = 0.436.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

Answer:

initial value = 5

Step-by-step explanation:

the initial value is the value of y when x = 0.

this is the same as the y- intercept.

from the graph at (0, 5 )

that is when x = 0 the initial value is 5

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

To know more about normal probability distribution,

https://brainly.com/question/33601330

#SPJ11

The teacher can use a combination of these methods to help the students understand that a triangle is equivalent to half a square.

In order to help the students understand that the triangle is equivalent to half a square, the teacher can adopt different methods, including the following:

1. Drawing diagrams of the triangle and the square to show the comparison. The teacher can draw diagrams of a triangle and a square on the board and label the different parts.

They can then show the students that a triangle can be created by halving the square diagonally. This way, the students will be able to visualize the comparison and understand it better.

2. Demonstrating the concept practically. The teacher can also demonstrate the concept by using physical objects such as paper or cardboard.

They can show the students how to create a triangle by folding a square diagonally and cutting it along the fold. This way, the students will be able to see the practical application of the concept.

3. Using real-world examples. The teacher can also use real-world examples to help the students understand the concept better.

For example, they can show the students pictures of tents or rooftops that are shaped like triangles and explain how they are related to squares.

4. Conducting group discussions. The teacher can conduct group discussions where the students can share their understanding of the concept and ask questions.

This way, the students will be able to learn from each other and clarify any doubts they may have.

Overall, the teacher can use a combination of these methods to help the students understand that a triangle is equivalent to half a square.

The key is to use different approaches that cater to different learning styles and to encourage the students to participate actively in the learning process.

To know more about triangle, visit:

https://brainly.com/question/2773823

#SPJ11

To test the hypothesis that the average time to deliver goods, once the order is placed over the phone, is more than 30 minutes in the population, we can use a one-sample t-test.

The one-sample t-test is used to compare the mean of a sample to a known or hypothesized population mean. In this case, the null hypothesis would be that the population mean delivery time is equal to 30 minutes, and the alternative hypothesis would be that the population mean delivery time is greater than 30 minutes. We would collect a sample of delivery times and calculate the sample mean and standard deviation. We would then use the t-test to determine whether the sample mean is significantly different from the hypothesized population mean of 30 minutes.

Therefore, a one-sample t-test would be the appropriate statistical test to use to test the hypothesis that the average time to deliver goods.

Learn more about one sample T-test here

https://brainly.com/question/31359683

#SPJ4

Answer:

8.5

Step-by-step explanation:

8.5 is the coefficient in front of x

any nonzero vector in R^3 can be an eigenvector of T with eigenvalue λ = -1. For example, the vector (1, 0, 0) is an eigenvector of T with eigenvalue λ = -1, since T sends it to its negative (-1, 0, 0). Similarly, (0, 1, 0) and (0, 0, 1) are also eigenvectors of T with eigenvalue λ = -1.

To find the matrix for the linear transformation T that reflects all vectors in R^3 through the xy plane, we first need to determine how T affects the standard basis vectors.

T sends the vector (1, 0, 0) to (-1, 0, 0), since reflecting across the xy-plane negates the z-coordinate. Similarly, T sends (0, 1, 0) to (0, -1, 0), and (0, 0, 1) to (0, 0, -1). Therefore, the matrix for T with respect to the standard basis is:

[T] = [ -1  0  0 ]

     [  0 -1  0 ]

     [  0  0 -1 ]

To find the eigenvalues and eigenvectors of T, we can solve the characteristic equation:

det([T] - λ[I]) = 0

where I is the 3x3 identity matrix. Substituting the matrix for T and expanding the determinant, we get:

det([T] - λ[I]) = det([ -1-λ   0     0   ])

                 det([  0    -1-λ   0   ])

                 det([  0     0   -1-λ ])

               = (-1-λ)(-1-λ)(-1-λ)

               = -(λ+1)^3

Therefore, the only eigenvalue of T is λ = -1, and we need to find its eigenvectors. To do this, we need to solve the system of equations:

([T] - (-1)[I])v = 0

Substituting the matrix for T and the eigenvalue λ = -1, we get:

[   0    0    0 ][x]   [0]

[   0    0    0 ][y] = [0]

[   0    0    0 ][z]   [0]

This system of equations has a rank of 0, which means that there are infinitely many solutions.

To learn  more about vector visit:

brainly.com/question/24256726

#SPJ11