Please help it would be amazing if you knew this

Please Help It Would Be Amazing If You Knew This

Answers

Answer 1

The solution of the composite function, (f + g)(x)  is 8x + 7

How to solve function?

A function relates input and output. In other words, a function is a special relationship among the inputs (independent variable) and their outputs (dependent variable).

A composite function is a function that depends on another function.

Therefore, let's solve the composite function

f(x) = x + 3

g(x) = 7x + 4

Hence,

(f + g)(x) can be solved as follows:

(f + g)(x)  = f(x) + g(x)

(f + g)(x)  = x + 3 + 7x + 4

combine like terms

(f + g)(x)  = x + 7x + 3 + 4

(f + g)(x)  = 8x + 7

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Related Questions

what 3x(a-12)=???????

Answers

3ax-36x is the correct answer.

Hope it helps!

John is twice as old as Mary. The sum of their ages is 21. How old is Mary?
Let J = John's age and M = Mary's age. Select the system equations that represents the problem.
J - 2M = 0
J = M + 2
M - 2J = 0
J + M = 21

Answers

Answer:

Mary is 7

Step-by-step explanation:

If their ages combined equals 21 and john is twice Mary’s age then johns age takes up 2/3 of 21. that would b 14. 14 is 2 x 7. and Mary is 7. 14+7=21. Mary is 7 years old

Correct answers are:

J + M = 21

J - 2M = 0

A dripping faucet leaks 3 ounces of water each minute. How many ounces of water leak in 2 hours and 15 minutes?

Answers

Answer:

405 ounces of water

Step-by-step explanation:

1 hr = 60 mins

2hrs= 120 mins (60 x 2)

120 + 15 = 135

135 x 3 = 405

Answer:

the answer is 1.875 gallons

Step-by-step explanation:

Let U be the set of all integers from 1 to 20. Let A = {1, 3, 6, 9, 12, 15, 18} and B = {2, 9, 11,
20). Which choice describes the set {4, 5, 7, 8, 10, 13, 14, 16, 17, 19)?

Answers

Answer:

the answer is A prime that is a set containing all the numbers in the universal set that can't be found in A

it is like removing A from the universal set

The resulting sets are not found in the set  {4, 5, 7, 8, 10, 13, 14, 16, 17, 19), therefore the choice that describes the set of numbers is (A U B)'

Set theory

Sets is a collection of numbers of elements

Given the following sets

A = {1, 3, 6, 9, 12, 15, 18} and

B = {2, 9, 11, 20).

U = {integers from1 to20}

From the given sets:

A U B ={1,2,3, 6, 9, 11, 12,25, 18, 20}

The resulting sets are not found in the set  {4, 5, 7, 8, 10, 13, 14, 16, 17, 19), therefore the choice that describes the set of numbers is (A U B)'

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A rectangular yard measuring 29 ft by 45 ft is bordered (and surrounded) by a fence. Inside, a walk that is 4ft wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer

Answers

The walkway has a 656 square foot area.

An example of a measure is what?

Comparing a quantitative measurement with a recognized standard amount of some kind is the act of measurement. For instance, in the measurement 10 kg, kg is indeed the basic measure used to describe mass of a physical quantity, and 10 is the size of the physical quantity.

In order to determine the size of the walkway, we must first determine the size of the bigger rectangle that includes the yard and the walkway, from which we must then deduct the yard's area.

The dimensions of the bigger rectangle will be:

Length: 29ft + 2(4ft) = 37ft

Width: 45ft + 2(4ft) = 53ft

Hence, the larger rectangle's area is:

37ft x 53ft = 1961ft²

The yard's actual size is:

29ft x 45ft = 1305ft²

As a result, the distinction between the two sections is the size of the walkway:

1961ft² - 1305ft² = 656ft²

Hence, the walkway has a 656 square foot area.

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What is 64 divisible by?​

Answers

Answer:

1, 2, 4, 8, 16, 32, and 64.

Step-by-step explanation:

64/1 = 64

64/2 = 32

64/4 = 16

64/8 = 8

64/16 = 4

64/32 = 2

64/64 = 1

A ball is dropped from 10 feet. After it is dropped, the height of each bounce is 80% of the height of the previous bounce. For example, the height of the 1st bounce is 8 feet. If the Nth bounce is the first bounce with a height of less than 5 feet, what is N

Answers

If the Nth bounce is the first bounce with a height of less than 5 feet, then N = 5 feet.

In the given question, a ball is dropped from 10 feet. After it is dropped, the height of each bounce is 80% of the height of the previous bounce. For example, the height of the 1st bounce is 8 feet. We need to find the number of bounces before the height of the bounce becomes less than 5 feet.

Given that a ball is dropped from 10 feet and the height of each bounce is 80% of the height of the previous bounce.

Here,

First bounce: 10 feet

Second bounce: 10 * 0.8 = 8 feet

Third bounce: 8 * 0.8 = 6.4 feet

Fourth bounce: 6.4 * 0.8 = 5.12 feet

Fifth bounce: 5.12 * 0.8 = 4.096 feet

Thus, the height of the fifth bounce is less than 5 feet.

Therefore, the Nth bounce is the fifth bounce and N = 5.

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8. Given P = {vowels) and Q= {consonants), what is PU Q?
(a) PUQ = 0
(b) PU Q = {a, e, i, o, u}
(c) PU Q = {consonants}
(d) PU Q = {The English alphabet}​




please answer urgent I'm timed please.....

Answers

Answer:

d) PU Q = {The English alphabet}​

Step-by-step explanation:

because U means Union of all P and Q

A cereal box says that now it contains 20% more originally it came with 18.5 ounces of cereal how much cereal does the box come with now

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation: the original weight of a cereals is ounces. Now according to question, new weight of cereals is more of original weight of cereals. Therefore, New weight of cereals will be formulated as Hence, the new weight of cereals is ounces.

a normalized binary number consists of three parts. these are:

Answers

Main Answer: A normalized binary number typically consists of three parts:

Sign bitExponentMantissa

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Sign bit: This is the leftmost bit of the number and indicates whether the number is positive or negative. A value of 0 indicates a positive number, while a value of 1 indicates a negative number.Exponent: This is the next set of bits that represent the exponent of the number in binary form. The exponent represents the power to which the base (2) is raised to obatain the actual value of the number. Mantissa: This is the remaining bits that represent the fractional part of the number in binary form. The mantissa contains the significant digits of the number, which are multiplied by the base raised to the exponent power to obtain the actual value of the number.

Final Answer: A normalized binary number typically consists of three parts:

Sign bitExponentMantissa

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if one is interested in measuring the effects of a moderating variable, one can build it into the design as a/n:

Answers

If one is interested in measuring the effects of a moderating variable, one can build it into the design as an independent variable.

To measure the effects of a moderating variable, it can be built into the design as an independent variable.

When studying the relationship between two variables, a moderating variable is a factor that influences the strength or direction of the relationship.

It is also known as an interaction variable. In order to measure the effects of a moderating variable, it is important to incorporate it into the research design.

To build a moderating variable into the design, it is treated as an independent variable.

An independent variable is a variable that is manipulated or controlled by the researcher.

By including the moderating variable as an independent variable, researchers can examine how it interacts with the other variables of interest.

The moderating variable is often operationalized by creating different groups or conditions based on its levels. For example, in a study investigating the impact of teaching method (independent variable) on student performance (dependent variable), the moderating variable could be student motivation.

The researchers can build the moderating variable into the design by dividing participants into high and low motivation groups, and then examining how the teaching method affects their performance differently.

By incorporating the moderating variable as an independent variable, researchers can systematically examine its influence on the relationship between the other variables. This allows for a deeper understanding of how and under what conditions the relationship changes.

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Find the zeros of p ( x ) = 2x^2-x-6 and verify the relationship of zeroes with these coefficients

Answers

The zeros of p(x) are x = 2 and x = -3/2. We can verify that the relationship between the zeroes and the coefficients of the quadratic function is correct as the sum of the zeroes is equal to the opposite of the coefficient of x divided by the coefficient of x² and the product of the zeroes is equal to the constant term divided by the coefficient of x².

Given that, p(x) = 2x² - x - 6. To find the zeros of p(x), we need to set p(x) = 0 and solve for x as follows; 2x² - x - 6 = 0. Applying the quadratic formula we get,\($x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$ where a = 2, b = -1 and c = -6$x = \frac{-(-1) \pm \sqrt{(-1)^2-4(2)(-6)}}{2(2)} = \frac{1 \pm \sqrt{49}}{4}$x = $\frac{1+7}{4} = 2$ or x = $\frac{1-7}{4} = -\frac{3}{2}$.\) Verifying the relationship of zeroes with these coefficients.

We know that the sum and product of the zeroes of the quadratic function are related to the coefficients of the quadratic function as follows; For the quadratic function ax² + bx + c = 0, the sum of the zeroes (x1 and x2) is given by;x1 + x2 = - b/a. And the product of the zeroes is given by x1x2 = c/a.

Therefore, for the quadratic function 2x² - x - 6, the sum of the zeroes is given by; x1 + x2 = - (-1)/2 = 1/2. And the product of the zeroes is given by x1x2 = (-6)/2 = -3. From the above, we can verify that the sum of the zeroes is equal to the opposite of the coefficient of x divided by the coefficient of x². We also observe that the product of the zeroes is equal to the constant term divided by the coefficient of x². Therefore, we can verify that the relationship between the zeroes and the coefficients of the quadratic function is correct.

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To make tea, use 1
6
6
1

teaspoon of tea per ounce of water plus a teaspoon for the pot. Use the inverse to find the number of ounces of water needed if 7 teaspoons of tea are used.

Answers

Using the given ratio, we can set up a proportion to find the number of ounces of water needed if 7 teaspoons of tea are used. Let x be the number of ounces of water needed:

1 teaspoon / 6 ounces = 7 teaspoons / x + 1 teaspoon

Multiplying both sides by the denominator on the right side gives:

x + 1 = 7 teaspoons * 6 ounces / 1 teaspoon

Simplifying the right side gives:

x + 1 = 42 ounces

Subtracting 1 from both sides gives:

x = 41 ounces

Therefore, 41 ounces of water are needed if 7 teaspoons of tea are used.

In summary, to find the number of ounces of water needed if 7 teaspoons of tea are used, we can use the inverse of the given ratio and set up a proportion to solve for x. The resulting proportion shows that 41 ounces of water are needed to make the tea.

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The legal maximum speed on UK motorways is 70 miles per hour.
Work out the legal maximum speed on UK motorways in metres
per second (m/s).
Give your answer to the nearest whole number

Answers

Answer: 31 m/s

Step-by-step explanation:

70 miles per hour = 112654 meters per 3600 seconds = 31.3 = 31 m/s

-28 = 2x + 8 - 5x
solve for x.
PLEASE

Answers

Hi ;-)

\(-28=2x+8-5x\\\\2x+8-5x=-28\\\\2x-5x=-28-8\\\\-3x=-36 \ \ /:(-3)\\\\\huge\boxed{x=12}\)

Answer:

x=12

Step-by-step explanation:

-28=2x+8-5x

-28=-3x+8

Add 3x on both sides:

3x-28=-3x+8+3x

3x-28=8

Add 28 on both sides:

3x-28+28=8+28

3x=36

Divide 3 on both sides:

3x/3=36/3

x=12

Is the set of integers closed under division? Explain why or why not.

Answers

The set of integers is not closed under the operation of division because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities

How to determine the true statement?

Integers are numbers without decimal points

When integers are divided, the possible results are:

ZeroDecimalIntegers

The decimal and the zero possibilities imply that the set of integers is not closed under the operation of division

This is so because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities

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Fitting a straight line to a set of data yields the prediction line . the values of x used to find the prediction line range from 5 to 28

Answers

A prediction line was obtained by fitting a straight line to a set of data. The range of x values used to find the prediction line is from 5 to 28.

When fitting a straight line to a set of data, the goal is to find a line that best represents the relationship between the independent variable (x) and the dependent variable (y). This line can then be used for prediction or extrapolation.

In this case, the prediction line was obtained using the given set of data. The x values used to find the prediction line range from 5 to 28. This means that the line was fitted based on the observations and measurements made within this range of x values.

The line represents the estimated relationship between x and y within this range and can be used to make predictions or infer the value of y for other x values falling within this range.

The range of x values from 5 to 28 provides the boundaries within which the prediction line is valid. Beyond this range, the accuracy of predictions may decrease as the line may not accurately capture the underlying relationship between x and y.

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What is (2n^4)^3 simplified?

Answers

\(\huge\text{Hey there!}\)


\(\mathsf{(2n^4)^3}\\\\\mathsf{= 2n^4 \times 2n^4\times 2n^4}\\\\\mathsf{= 4n^8\times 2n^4}\\\\\mathsf{= 8n^{8\ + \ 4}}\\\\\mathsf{= 8n^{12}}\)


\(\huge\textsf{Thus, your answer should be: \boxed{\mathsf{8n^{12}}}}\huge\checkmark\)


\(\huge\text{Good luck on your assignment \& enjoy your day!}\)


~\(\frak{Amphitrite1040:)}\)

PLS HELP ASAP (100 POINTS) The equation for the line of best fit for change in temperature, y, to amount of snow, s, is given by ŷ = − 2.6s + 1.1. On Friday, the observed amount of snow was 1.3 inches and the temperature change was 1.2 degrees. Find and interpret the residual.

1.08; The line of best fit underpredicts the temperature change.
−1.08; The line of best fit overpredicts the temperature change.
−3.48; The line of best fit overpredicts the temperature change.
3.48; The line of best fit underpredicts the temperature change.

Answers

Answer:  Choice D

residual = 3.48

The line of best fit underpredicts the temperature change.

============================================================

Explanation:

If s = 1.3, then ŷ is...

ŷ = -2.6s + 1.1

ŷ = -2.6*1.3 + 1.1

ŷ = -2.28

This is the estimated or predicted y value based on the input s = 1.3

Let's now compute the residual

e = residual error

e = (observed y value) - (predicted y value)

e = y - ŷ

e = 1.2 - (-2.28)

e = 1.2 + 2.28

e = 3.48 is the residual

A positive residual means that the predicted y value, aka ŷ, is an underestimate compared to the true observed value. In other words, the observed y value is higher than the ŷ value. Therefore, the line of best fit under-predicts the temperature change.

A tank contained 35 liters of water. After some water was poured out, it was 2/5 filled. How much water was poured out from the tank?​

Answers

Answer:

21litres

Step-by-step explanation:

2/5 of 35litres of water was left in the tank

2/5 × 35 = 14litres

14litres remained

Amount of water poured out= 35-14

= 21litres

Ruben and Estelle just had business cards made. Ruben's printing company charged a one-time setup fee of $8 and then $18 per box of cards. Estelle, meanwhile, ordered hers online. They cost $6 per box. There was no setup fee, but she had to pay $20 to have her order shipped to her house. By coincidence, Ruben and Estelle ended up spending the same amount on their business cards. How much did each spend? How many boxes did each buy?

Answers

Ruben ordered 0 boxes of cards and Estelle ordered 2 boxes of cards. Ruben spent $8 and Estelle spent $20 + $6(2) = $32.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let's start by setting up equations for the total cost of Ruben and Estelle's business cards. Let R be the number of boxes of cards Ruben ordered and E be the number of boxes Estelle ordered. Then we have:

Ruben's cost = 8 + 18R

Estelle's cost = 6E + 20

We know that Ruben and Estelle spent the same amount, so we can set their costs equal to each other and solve for R and E:

8 + 18R = 6E + 20

18R - 6E = 12

3R - E = 2

This equation tells us that Ruben ordered two more boxes of cards than Estelle. We can use trial and error to find the values of R and E that satisfy this equation and give us the same cost:

If R = 4 and E = 2, then Ruben's cost = 8 + 18(4) = 80 and Estelle's cost = 6(2) + 20 = 32, which are not equal.

If R = 3 and E = 1, then Ruben's cost = 8 + 18(3) = 62 and Estelle's cost = 6(1) + 20 = 26, which are not equal.

If R = 2 and E = 0, then Ruben's cost = 8 + 18(2) = 44 and Estelle's cost = 6(0) + 20 = 20, which are not equal.

If R = 1 and E = -1, then Ruben's cost = 8 + 18(1) = 26 and Estelle's cost = 6(-1) + 20 = 14, which are not equal.

If R = 0 and E = -2, then Ruben's cost = 8 + 18(0) = 8 and Estelle's cost = 6(-2) + 20 = 8, which are equal.

Therefore, Ruben ordered 0 boxes of cards and Estelle ordered 2 boxes of cards. Ruben spent $8 and Estelle spent $20 + $6(2) = $32.

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a radio tower is located 350 feet from a building. from a window in the building, a person determines that the angle of elevation to the top of the tower is 42 degrees and that the angle of depression to the bottom of the tower is 28 degrees . how tall is the tower?

Answers

The height of the tower is approximately 336.4 feet. To find the height of the tower, we can use trigonometric ratios in a right triangle formed by the tower, the person's line of sight, and the ground.

Let's label the height of the tower as "h" in feet. We can divide the right triangle into two smaller triangles: one with the angle of elevation of 42 degrees and the other with the angle of depression of 28 degrees.

In the triangle with the angle of elevation, the side opposite the angle of elevation is the height of the tower, h, and the side adjacent to the angle of elevation is the distance from the window to the tower, which is 350 feet. We can use the tangent function to relate the angle of elevation and the sides of the triangle:

tan(42 degrees) = h / 350

Similarly, in the triangle with the angle of depression, the side opposite the angle of depression is also the height of the tower, h, and the side adjacent to the angle of depression is the distance from the window to the tower, which is still 350 feet. Using the tangent function again, we have:

tan(28 degrees) = h / 350

We can solve these two equations simultaneously to find the value of h. Rearranging the equations:

h = 350 * tan(42 degrees)

h = 350 * tan(28 degrees)

Evaluating these expressions, we find that h is approximately 336.4 feet.

Therefore, the height of the tower is approximately 336.4 feet.

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Anita está asiendo pan de calabaza y tiene medio galón de masa ella planea verter la masa en un molde de vidrio con longitud de 9 pulgadas un ancho de 4 y una profundidad de cuatro determine si toda la masa cabra en el sartén

Answers

All the batter would fit into the pan as it has more volume than half a gallon.

What is a cuboid?

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

We know, One gallon is equal to 231 cubic inches.

Therefore, Half a gallon is equal to 231/2 cubic inches.

The volume of the pan is (9×4×4) cubic inches.

= 144 cubic inches.

Now, 144 > 231/2, so it would fit.

Q. Anita is baking pumpkin bread and has a half gallon of batter. She plans to pour the batter into a glass pan with a length of 9 inches, a width of 4 inches, and a depth of four. Determine if all the batter will fit in the pan.

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consider the function f(x)=x^4 7sqrt(x). let f(x) be the antiderivative of f(x) with f(1)=-1/ then f(x)=

Answers

The antiderivative of f(x)=x^4 7sqrt(x) is with f(1) = -1 is f(x) = \(2x^{(\frac{7}{2})} - 2 - 2^{(\frac{1}{2})}\).

To find the antiderivative of the given function, we need to integrate it with respect to x. Let's begin by separating the terms:

f(x) = x⁴ * 7sqrt(x)

= 7x⁴ * sqrt(x)

Using the power rule of integration, we can integrate each term:

∫7x⁴ * sqrt(x) dx

= 7 ∫\(x^{(4+\frac{1}{2})}\) dx

= 7 * \(\frac{2}{7} x^{(\frac{7}{2})}\) + C

=\(2x^{(\frac{7}{2} )}\) + C

Here, C is the constant of integration. To determine its value, we use the given initial condition:

f(1) = \(2(1)^{\frac{7}{2} }\) + C = -1

Simplifying, we get:

C = -2 - \(2^{(\frac{1}{2} )}\)

Therefore, the antiderivative of f(x) with f(1) = -1 is:

f(x) = \(2x^{(\frac{7}{2})} - 2 - 2^{(\frac{1}{2})}\)

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The number of potato chips in a bag is normally distributed with a mean of 71 and a standard deviation of 2. Approximately what percent of bags contain between 69 and 73 potato chips?.

Answers

Mean is calculated as the summation of all the data upon the total number of data.

The percentage of bags containing between 69 and 73 potato chips is 68.26 %.

The number of potato chips in a bag is normally distributed with a mean of 71 and a standard deviation of 2.

We need to determine the percentage of bags containing between 69 and 73 potato chips.

How to calculate the probability?

Below mentioned the step-by-step calculation for calculating the percentage of bags containing between 69 and 73 potato chips.

Step 1: Sketch the curve.

The probability is equal to the blue area under the curve.

Step 2:

Since and we have:

\(\mu =71\;\rm{and} \;\sigma=2\)

\(\begin{aligned}(69

Step 3: Use the standard normal table to conclude that:

By using the standard normal table it is concluded that the probability is 0.6826.

Hence, for calculating the probability into the percentage, we need to multiply it by 100. Thus, the percentage of bags containing between 69 and 73 potato chips is 68.26 %.

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The number of potato chips in a bag is normally distributed with a mean of 71 and a standard deviation

Answer:

68.26℅‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ 

Find the absolute maximum value of the function f of x equals 2 times x plus 1 for x between negative 2 and 0 inclusive and equals negative x squared plus 1 for x greater than 0

Answers

The absolute maximum value for the given function

f(x) = 2x + 1, -2 < x < 0

      = -x² + 1 , x > 0   is equal to ( 0,1 ).

Graph is attached.

As given in the question,

Given function is equal to :

f(x) = 2x + 1, -2 < x < 0

      = -x² + 1 , x > 0  

Graph is attached.

From the attached graph we directly conclude that absolute maximum located at the point ( 0, 1) when both the curves meet at highest point.

From the calculation of the function we get,

f(x) = 2x + 1, -2 < x < 0

 Value of f(x) for x =  -2, -1, 0

f(-2) = 2(-2) + 1

      = -3

f(-1) = 2(-1) + 1

     = -1

f(0) = 2(0) +1

     = 1

Maximum value is ( 0,1) for f(x)

f(x) =  -x² + 1 , x > 0  

for x = 0 or any value greater than 0

f(0) = 1

f(1) = 0

f(2) = -3 and so on.

Maximum and common point is ( 0,1)

Therefore, the absolute maximum for the given function is equal to (0, 1).

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Find the absolute maximum value of the function f of x equals 2 times x plus 1 for x between negative

Andrea sold 54 tickets for her school's fundraiser at 14 dollars per ticket, and Nick sold 47 tickets at 14 dollars per ticket. In total, how many dollars did Andrea and Nick collect?

Answers

The answer is 1414. Multiply the tickets and the dollars for both Andrea and Nick. Then add both there totals.

Answer:

1414

Step-by-step explanation:

Multiply 54 by 14, and 47 by 14. That is 756 and 658. Add them together to get the answer.

Work: Gas mileage depends in part on the speed of the car. The gas mileage of asubcompact car is given, m(x) = -0.04x2 + 3.6x – 49, where 20 < x < 70 representsthe speed in miles per hour and m(x) is given in miles per gallon. WOHL EEN=--G:Given-List or Diagram the Data220Lx70m(x)= -0.047?_ 3,6x-49m(x) mpg>R: Required-what is the question?At what speed will the car get the maximum gas mileage?What is the maximum gas mileage?

Work: Gas mileage depends in part on the speed of the car. The gas mileage of asubcompact car is given,

Answers

We have to find at what speed will the car get the maximum mileage.

This can be done calculating the first derivative for m(x) in respect to x:

\(\begin{gathered} m(x)=-0.04x^2+3.6x-49 \\ \frac{dm}{dx}=-0.04(2x)+3.6(1)-49(0)=-0.08x+3.6 \end{gathered}\)

Now we equal it to 0 and solve for x:

\(\begin{gathered} \frac{dm}{dx}=0 \\ -0.08x+3.6=0 \\ 3.6=0.08x \\ x=\frac{3.6}{0.08} \\ x=45 \end{gathered}\)

As x = 45 is within the valid interval (between 20 and 70), we know it is a valid solution.

The maximum mileage happens at 45 miles per hour.

We can now calculate this gas mileage as m(45):

\(\begin{gathered} m(45)=-0.04(45)^2+3.6(45)-49 \\ m(45)=-0.04\cdot2025+162-49 \\ m(45)=-81+162-49 \\ m(45)=32 \end{gathered}\)

The maximum mileage is 32 miles per gallon.

We can see it in a graph as:

Answer: the maximum mileage happens at a speed of 45 miles per hour, and the maximum mileage is 32 miles per gallon.

Work: Gas mileage depends in part on the speed of the car. The gas mileage of asubcompact car is given,

......help due in a minute

......help due in a minute

Answers

Answer:

The answer is ''C''

Hope this helps!! Have a great day! <3

Answer: D ( I really don’t have a good explanation for this question.)

Name the constants in the expression below.

-8 - 6y + 7 - 8c

Answers

Answer:

-87

I hope this helps!

Answer:=

8

c

6

y

1

Step-by-step explanation:= -8c -6y -1

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