Help please!!!!!!!!!

Help Please!!!!!!!!!

Answers

Answer 1

Answer:

(a)  3.5

(b)  x = 4

(c)  -¹/₂

(d)  -¹/₂

Step-by-step explanation:

Part (a)

f(1) is the value of y when x = 1.

To find the value of y from a given value of x, find the position of x on the x-axis, then trace vertically until you meet the line. Once you meet the line, trace horizontally to the y-axis to find the corresponding value of y.

Therefore, f(1) = 3.5.

Part (b)

To solve f(x) = 2, find the value of x when y = 2.

To find the value of x from a given value of y, find the position of y on the y-axis, then trace horizontally until you meet the line. Once you meet the line, trace vertically to the x-axis to find the corresponding value of x.

Therefore, the solution of f(x) = 2 is x = 4.

Part (c)

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

\(\dfrac{f(b)-f(a)}{b-a}\)

Given interval:  2 ≤ x ≤ 4

Therefore:

a = 2b = 4

\(\implies \dfrac{f(4)-f(2)}{4-2}=\dfrac{2-3}{4-2}=-\dfrac{1}{2}\)

Part (d)

The average rate of change between any interval of the given function will be the same as the graph is linear.  Therefore, the average rate of change from 0 to 8 is the same as the rate found in part (c):  -¹/₂.

Proof

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

\(\dfrac{f(b)-f(a)}{b-a}\)

Given interval:  0 ≤ x ≤ 8

Therefore:

a = 0b = 8

\(\implies \dfrac{f(8)-f(0)}{8-0}=\dfrac{0-4}{8-0}=-\dfrac{4}{8}=-\dfrac{1}{2}\)


Related Questions

What is the area (what is the height)

What is the area (what is the height)

Answers

Answer:

5 i think

Step-by-step explanation:

The trapezoid's height (h) is 4 mm(millimeters).

Formula to calculate a trapezoid's height;

2 x Area ÷ by A(short base) + B(large base)

What are the values of the function when x=-2 and when x=4

What are the values of the function when x=-2 and when x=4

Answers

Answer:

g(-2) = 0

g(4) = -4

Step-by-step explanation:

The outputs of each inequality are the numbers directly next to the parentheses. If an "x" value lies within a particular inequality, the values of the function are the corresponding output.

Remember, the "greater than or equal to" sign (≤) indicates that the "x" value can be equal to the number on the left. The "greater than" symbol (<) indicates that the number to the right cannot satisfy the inequality.

x = -2 lies within the inequality -2 ≤ x < 4. All "x" values that fall within this range are g(x) = 0. Therefore, g(-2) = 0.

x = 4 lies within the inequality 4 ≤ x < 10. All "x" values that fall within this range are g(x) = -4. Therefore, g(4) = -4.

Find a linear function h given h(-1)=-2 and h(-7)=-9 The linear function is h(x)= (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Answers

h(x) = -7/6x - 25/6.

Given h(-1)=-2 and h(-7)=-9

For linear function h(x), we can use slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.

To find m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

h(-1) = -2 is a point on the line, so we can write it as (-1, -2).

h(-7) = -9 is another point on the line, so we can write it as (-7, -9).

Now we can find m using these points: m = (-9 - (-2)) / (-7 - (-1)) = (-9 + 2) / (-7 + 1) = -7/6

Now we can find b using one of the points and m. Let's use (-1, -2):

y = mx + b-2 = (-7/6)(-1) + b-2 = 7/6 + b

b = -25/6

Therefore, the linear function h(x) is:h(x) = -7/6x - 25/6

We can check our answer by plugging in the two given points:

h(-1) = (-7/6)(-1) - 25/6 = -2h(-7) = (-7/6)(-7) - 25/6 = -9

The answer is h(x) = -7/6x - 25/6.

Know more about linear function  here,

https://brainly.com/question/29205018

#SPJ11

An investor bought 50 shares of stock for $98.40 per share when the value of the stock was $142.00 per share

Answers

The profit on the shares is $2180

How to determine the profit on the shares

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

Number of shares = 50

Cost price = $98.40

Current price = $142.00

The profit on the shares is then calculated as

Profit = (Current price - Cost price) * Number of shares

Substitute the known values in the above equation, so, we have the following representation

Profit = (142 - 98.40) * 50

Evaluate

Profit = 2180

Hence, the profit is $2180

Read more about shares at

https://brainly.com/question/25818989

#SPJ1

C is a town.
The bearing of C from A is 050°.

Find the bearing of A from C.

Answers

In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.

Which point is the bearing?

The load from the structural element is transferred to the foundation at a bearing point, which is often a concentrated load point.

To avoid structural failure, settling, or excessive deflection of the part, it is crucial to make sure the bearing point is properly designed and supported.

Since the bearing of C from A is 050°, we can find the bearing of A from C by adding 180° to 50°, which gives us:

Bearing of A from C = 50° + 180° = 230°

Therefore, In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.

Learn more about bearing here:

brainly.com/question/15006070

#SPJ1

Complete question -

C is a town.The bearing of C from A is 050.Find the bearing of A from C.

A children's pony ride at a zoo has ponies attached to a carousel pole in the center of a circle. The diameter of a circle is 25 feet. How many feet does a pony walk to complete one trip around the circle?

Answers

A pony walks approximately 78.4 feet to complete one trip around the circular pony ride.

What is the distance around the circular pony ride?

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The circumference of a circle or the distance around the circle is expressed mathematically as;

C = 2πr or C = πd

Where r is radius, d is diameter and π is constant pi ( π = 3.14 ).

The distance traveled by a pony to complete one trip around the circle is equal to the circumference of the circle.

Given that the diameter of the circle is 25 feet, we can calculate the circumference using the above formula as follows:

C = πd

C = 3.14 × 25 feet

C = 78.5 feet.

Therefore, the measure of the circumference is approximately 78.5 feet.

Learn more about circles here: brainly.com/question/11952845

#SPJ1

IV Find the citical points at which profit (pie) is maximized given the total revenue TR=4700−302 and Total CostTC =320/10,500 (2pts) 1. Compute Marginal Revenue and Marginal Cost 2. Equate MR=MC to find Q

3. Verify that Q* is a relative maximum point 4. Compute the maximum profit level (pie) )

by establishing (pie)* =9( (pie) (Q

)

Answers

To find the critical points at which profit is maximized given the total revenue TR = 4700 - 302 and total cost TC = 320/10,500, we need to compute the marginal revenue and marginal cost, equate MR = MC to find the optimal quantity Q∗, verify if Q∗ is a relative maximum point, and compute the maximum profit level (π) by evaluating π∗ = 9(π(Q∗)).

Marginal Revenue (MR) is the derivative of the total revenue function with respect to quantity (Q). In this case, MR = dTR/dQ. By taking the derivative of TR = 4700 - 302 with respect to Q, we can find the expression for MR.

Marginal Cost (MC) is the derivative of the total cost function with respect to quantity (Q). In this case, MC = dTC/dQ. By taking the derivative of TC = 320/10,500 with respect to Q, we can find the expression for MC.

To find the optimal quantity Q∗, we equate MR and MC by setting MR = MC and solve for Q. This is because profit is maximized when MR equals MC.

Once we have found Q∗, we need to verify if it is a relative maximum point. This can be done by checking the second derivative of the profit function and determining if it is negative at Q∗. If the second derivative is negative, it confirms that Q∗ is a relative maximum point.

Finally, to compute the maximum profit level (π∗), we evaluate π(Q∗) by substituting Q∗ into the profit function. In this case, we can multiply the value of π(Q∗) by 9 to obtain the maximum profit level (π∗).

Learn more about relative maximum point here:

https://brainly.com/question/32310828

#SPJ11

None of the answers I got is an answer choice

None of the answers I got is an answer choice

Answers

Answer:

N/A

Step-by-step explanation:

1. subtract 3 from both sides to isolate the square root and its coefficient

5√(5-x) = - 10

2. divide both sides by 5 to isolate the square root

√(5-x) = -2

this means that the square root of something would be negative, which is not possible

In the number 2,222.222, what is the difference between the 2 in the tens place and the 2 in the column to its left? a. the 2 in the tens place represents of what the 2 to its left represents. b. the 2 in the tens place represents of what the 2 to its left represents. c. the 2 in the tens place represents 100 times what the 2 to its left represents. d. the 2 in the tens place represents 10 times what the 2 to its left represents.

Answers

This questions is testing the knowledge on place value and total value.

The two to the left of the 2 in the tens place is 100 times larger than the 2 in the 100ths place in the value.

The total value of the 2 in the tens position is 20.

The total value of the 2 in the tenth position is 0.2.

To obtain the difference, divide the 20 in the tens position to the 2 in the tenths position.

20/0.2 = 100

the 2 in the tens place represents 100 times what the 2 to its left represents.

Learn more on place value and total value from: https://brainly.com/question/17801414

#SPJ4

Write an algebraic expression to represent the area of the triangle (Area = 1/2 ×base ×height) given that the length is 6 inches greater than the height. Then evaluate it to find the area when h=7 inches​

Answers

The expression for area of triangle is 1/2x² + 3x.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Area = 1/2 × base × height

and, length is 6 inches greater than the height.

let the height of the triangle is x

length of triangle = x + 6

So, The Area of triangle

= 1/2 x base x height

= 1/2(x)(x+ 6)

= 1/2x² + 3x

Hence, the expression for area of triangle is 1/2x² + 3x.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ1

whats 17×3297÷47+70=​

Answers

Answer:

1,262.5

according to the calculator lol

Answer:

17×3297÷47+70=​

Step-by-step explanation:

1262.53191489

$80 gift marked up 60%
give me the answer after the markup

Answers

Answer:

128

Step-by-step explanation:

0.6 (the percentage) x 80.00= 48.00

48.00 + 80.00 = 128.00

Answer:

128

Step-by-step explanation:

60% + 100% (new price) = 160% = 1.6

80 x 1.6 = 128

1o Divide
$ 20,000 in the ratio 3:2​

Answers

Answer:

30,000

Step-by-step explanation:

3/2 multiplied by 20k is

3 x 20000 over 2

which is 60000 over 2

which is 30000

I need help with this question yeah i know i am spamming but i have to get this done or my mom will make me live with my dad!!!1!!!!!

I need help with this question yeah i know i am spamming but i have to get this done or my mom will make

Answers

Your answer is 108!!! Brainliest plzzzzz!!!!

the larger the sample, the more ________ you have when you generalize your sample findings to the population facts.

Answers

the larger the sample, the more confidence you have when you generalize your sample findings to the population facts.

The larger the sample size, the more confidence you can have when you generalize your sample findings to the population facts. This is because larger sample sizes provide more accurate representation of the population facts due to the increased number of data points collected. As a result, the more data points you have, the more reliable your findings are in terms of representing the population facts. The larger the sample size, the more confidence you can have in generalizing the findings to the population facts.

Learn more about population here

https://brainly.com/question/19538277

#SPJ4


Use solver to solve the following LP
max 9x+5y+z
st.
2x+5y+4z<=8
2x-3y+5z<=9
2x-2y+12z>=10
Report the optimal objective value (do not round)

Answers

Set variable bounds: Set the bounds for variables x, y, and z as "Non-negative".

To solve the given linear programming problem using Solver, follow these steps: Define the objective function: Set the objective function as "Max 9x + 5y + z" in the Solver dialog box. Define the constraints:  Add the constraint "2x + 5y + 4z <= 8" as a "≤" constraint. Add the constraint "2x - 3y + 5z <= 9" as a "≤" constraint. Add the constraint "2x - 2y + 12z >= 10" as a "≥" constraint. Set variable bounds: Set the bounds for variables x, y, and z as "Non-negative". Run Solver: Click "Solve" in the Solver dialog box to find the optimal solution.

After running Solver, it will provide the optimal objective value. The optimal objective value for this problem will depend on the specific values of x, y, and z obtained. Please run the Solver with the given LP problem to obtain the optimal objective value.

To learn more about variables click here: brainly.com/question/17436857

#SPJ11

Someone help me asappppp!!! Will mark brainliest if right hurry!!!!!!

Someone help me asappppp!!! Will mark brainliest if right hurry!!!!!!

Answers

They are similar AEB and BDC?

Answer:

i cant see the angle at the bottom of the page. im assuming it is E.

1. BAE and BDC

2. BEA and BCD

Step-by-step explanation:

Which steps could be used to solve this story problem? Blake took flyers to the shopping center to advertise his car wash event. By the time he arrived 14 of the flyers had blown away. He ended up putting 50 flyers on blue cars, 26 flyers on white cars, and 32 flyers on silver cars. How many flyers did Blake start with?

Answers

Blake started with 94 flyers before 14 of them blew away.To solve this story problem, we can follow these steps:

1. Start by identifying the key information provided in the problem:
  - 14 flyers had blown away by the time Blake arrived.
  - Blake put 50 flyers on blue cars, 26 flyers on white cars, and 32 flyers on silver cars.

2. To find out how many flyers Blake started with, we need to determine the total number of flyers he distributed. Add the number of flyers on blue cars, white cars, and silver cars:
  - 50 + 26 + 32 = 108 flyers were distributed.

3. Since 14 flyers blew away, we subtract this number from the total number of distributed flyers to find the initial number of flyers Blake had:
  - 108 - 14 = 94 flyers.

Therefore, Blake started with 94 flyers before 14  them blew away.

 To  learn  more  more about flyer click here:brainly.com/question/31875465

#SPJ 11

if the divining rod is completely useless for locating water, what is the probability that the expert will correctly identify (by guessing) both of the cans containing water?

Answers

a)  The sample space for this experiment:

S = { E1E2, E1W2,E2W2, E1W1, E2W1, W1W2 }

b) The probability that the expert will correctly identify (by guessing) both of the cans containing water is:  1/6

Probability :

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Now, According to the information:

Let E1 and E2 represent the empty cans and W1 and W2 be the cans filled with water.  

S = { E1E2, E1W2,E2W2, E1W1, E2W1, W1W2 }  

By merely guessing, the events are equally likely. Since there are 6 possible outcomes,  

The probability that the expert will correctly identify (by guessing) both of the cans containing water is:

Since there are 6 possible outcomes,  

probability = 1/6

Learn more about Probability at:

https://brainly.com/question/11234923

#SPJ4

The given question is incomplete, complete question is:

According to Webster’s New Collegiate Dictionary, a divining rod is "a forked rod believed to indicate [divine] the presence of water or minerals by dipping downward when held over a vein." To test the claims of a divining rod expert, skeptics bury four cans in the ground, two empty and two filled with water. The expert is led to the four cans and told that two contain water. He uses the divining rod to test each of the four cans and decide which two contain water. a List the sample space for this experiment. b If the divining rod is completely useless for locating water, what is the probability that the expert will correctly identify (by guessing) both of the cans containing water?

Find the equation of the line.
Use exact numbers.
y=

Find the equation of the line.Use exact numbers.y=

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

y = mx + b                  points on the graph: (0,5)    (1,3)

y = mx + 5

\(\frac{5-3}{0-1}\) = \(\frac{2}{-1}\) = -2

y = -2x + 5

A particular antibiotic is eliminated from the blood with a half-life of 16 hours. how many hours does it take for 100-milligram dose to decrease to 30-milligrams in the blood?

Answers

Using the decay formula, the particular antibiotic with half-life of 16 hours, will decrease to 30-milligrams in the blood after 27.79 hours.

We can use the decay formula to solve the problem:

A(t) = A(0) . (0.5)^(t/T)

Where:

A(t) is the remaining quantity at time t

A(o) is the initial quantity

t  is the time interval

T is the half-life rate

In the given problem:

A(0) = 100 milligram

T = 16 hours

A(t) = 30 milligram

We need to find t such that the remaining quantity of this antibiotic is 30 mg.

Substitute the given parameters into the formula:

A(t) = A(0) . (0.5)^(t/T)

30 = 100 . (0.5) ^(t/16)

Taking the logarithm:

log (30) = log [100 . (0.5) ^(t/16)]

Use the logarithm property, log(A.B) = log A + log B

log (30) = log (100) + log [(0.5) ^(t/16)]

Use the logarithm property, log(Aⁿ) = n.log A

log (30) = log (100) + (t/16) . log (0.5)

log (30) = 2 + (t/16) . log (0.5)

(t/16) . log (0.5)  = log (30) - 2

t/16 = 1.737

t = 1.737 . (16) = 27.79 hours

Learn more about decay formula here:

https://brainly.com/question/3716822

#SPJ4

What is the pH of 0.2L of blood? Is it acidic or basic?

Answers

Answer:its acidic

Step-by-step explanation:

There are about 2.54 centimeters in 1 inch. if a segment is 2.7 centimeters long, how many inches is it, rounded to the nearest hundredth?

Answers

Answer: 1.06 cm

Step-by-step explanation:

Take 2.7 divided by 2.54 = 1.062cm

Rounded the nearest hundredth, so it will be 1.06 cm

HELP I NEED HELP ASAP

HELP I NEED HELP ASAP

Answers

Answer:

i think its; there  all inequalities

Step-by-step explanation:

Describe the type of solutions to the quadratic equation below.
x²-3x-28=0
Select the correct answer below:
1.Two real rational solutions
2.Two real irrational solutions
3.One repeated real rational solution
4.Two complex solutions

Answers

The quadratic equation x² - 3x - 28 = 0 has two real rational solutions. Therefore the correct option is 3. Two real rational solutions

To determine the type of solutions to the quadratic equation x² - 3x - 28 = 0, we can use the discriminant, which is the term b² - 4ac in the quadratic formula.

In this case, the coefficients are:

a = 1 (coefficient of x²)

b = -3 (coefficient of x)

c = -28 (constant term)

The discriminant is calculated as follows:

Discriminant = b² - 4ac

Discriminant = (-3)² - 4(1)(-28)

Discriminant = 9 + 112

Discriminant = 121

Now, let's analyze the value of the discriminant:

1. If the discriminant is positive (greater than zero), there are two real solutions.

2. If the discriminant is zero, there is one repeated real solution.

3. If the discriminant is negative (less than zero), there are two complex solutions.

In this case, the discriminant is 121, which is positive. Therefore, the quadratic equation x² - 3x - 28 = 0 has two real rational solutions.

Learn more about quadratic equation here: https://brainly.com/question/30098550

#SPJ11

13. Zahra likes to go rock climbing with her friends. In the past, Zahra has climbed to the top of the
wall 7 times in 28 attempts. Determine the odds against Zahra climbing to the top.
A. 3:1
B. 4:1
C. 3:11
D. 3:4

Answers

Answer:

the odds against Zahra climbing to the top are,

B. 4:1

Step-by-step explanation:

Since she has climbed 7 times in 28 attempts,

the probability of a successful climb is,

P = 7/28

P = 1/4

So, the odds against Zahra climbing to the top are 4:1

Ferdinand is playing golf. He hits a shot off the tee box that
has a height modeled by the function h(t) = –16t2 + 80t,
where h(t) is the height of the ball, in feet, and t is the time
in seconds it has been in the air. The graph that models
the golf ball's height over time is shown below.

When does the ball reach its maximum height?

What is the maximum height of the ball?

Ferdinand is playing golf. He hits a shot off the tee box thathas a height modeled by the function h(t)

Answers

Answer:

Maximum height of the ball = 100 m

Time to reach the maximum height = 2.5 seconds

Step-by-step explanation:

Function that models the height h(t) of the ball and time 't',

h(t) = -16t² + 80t

Convert this equation into vertex form,

h(t) = -16(t²- 5t)

     = -16[t² - 2(2.5t) + (2.5)² - (2.5)²]

     = -16[[t² - 2(2.5t) + (2.5)²] + 16(2.5)²

     = -16(t - 2.5)² + 16(6.25)

     = -16(t - 2.5)² + 100

By comparing this equation with,

g(t) = a(x - h)² + k

Here, (h, k) is the vertex of the parabola.

Vertex of the given parabola will be → (2.5, 100)

Therefore, maximum height of the ball = 100 m

Time taken by the ball to reach the maximum height = 2.5 seconds

PLEASE HELP ASAP!!!!!

PLEASE HELP ASAP!!!!!

Answers

Given:

The side lengths of two cubes are 2.5 yd and 2 yd.

To find:

The side length of third cube.

Solution:

From the given figure it is clear that the cubes are inclined to each other in such a way so that they form a right angle triangle and side length of third cube is the base.

Let x be the side length of the third cube.

Using Pythagoras theorem, we get

\(Hypotenuse^2=Base^2+Perpendicular^2\)

\((2.5)^2=(x)^2+(2)^2\)

\(6.25=x^2+4\)

\(6.25-4=x^2\)

\(2.25=x^2\)

Taking square root on both sides, we get

\(x=\pm\sqrt{2.25}\)

\(x=\pm 1.5\)

Side cannot be negative. So,

\(x=1.5\)

Therefore, the side length of the  third cube is \(x=1.5\) yd.

In Mrs. Ramon's class, the ratio of boys to girls is 2 to 3. The class has 30
students. How many girls are in Mrs. Ramon's class?

Answers

Answer:

10 girls

Step-by-step explanation:

Because 2/3 of 30 is 20 making the other 10 girls

The arcs in the photo at the right appear to
be paths of stars rotating about the North Star, To produce this effect, the
photographer set a camera on a tripod and left the shutter open for an
extended time. If the photographer left the shutter open for a full 24 hours,
each are would be a complete circle. You can model a star's rotation" in the
coordinate plane. Place the North Star at the origin. Let P(1, 0) be the position
of the star at the moment the camera's shutter opens. Suppose the shutter is
left open for 2 h 40 min, with the arc ending at P. a. What angle of rotation
maps Ponto P? b. What are the x and y coordinates of P to the nearest
thousandth? c. What translation rule maps P onto P?

Answers

Answer:

a. What angle of rotation maps Ponto P?

30.25 degrees

b. What are the x and y coordinates of P to the nearest thousandth?

(83.3, 33.3)

c. What translation rule maps P onto P?

Rotation

Other Questions
What are the two types of minerals? a. Industrial and environmental b. Valuable and invaluable c. Metallic and nonmetallic d. Important and unimportant Please select the best answer from the choices provided A B C D. Plowin' Supply plans to make 15,000 tractors at its plant. Fixed costs are $600,000 and variable costs are $200 per tractor. What is the average cost per tractor One of the effects of the stimulation of receptors in the central nervous system by nicotine is to.. a. Release cortical inhibition b. Release gastric juices c. Release acetaldehyde d. Release adrenalin What is NAFTA example? Which character is the best example of an archetype? Too small"My house has never been broken into. Therefore, you can feel secure that there's no crime in this town." This generalization is weak because the sample is? Please help me vote you brainiest "The toy car is about 3 inches long" is an example of a what observation? Determine which method would be more efficient for solving each system of equations. y=2 and y=-x-6 see picture for question Characteristics of the new agriculture Nellie recently sold her old laptop directly to a student from different country using an e-commerce website. the website she used runs on b2b model. a. true b. false For both circuits: Determine the potential difference on and the current through each resistor. Show your work and then check your answer with PhET What is 3/8 to the nearest half? I need an explanation too cause I don't understand how to say it :))) a student adopts a pro-environmental attitude to get along with a new group of environmentally-conscious friends. the attitude fulfills which function? the term ""____"" is used to label any condition in which one or more optional relationships exist. yo! please help me anwser ( no full explimation) Can anyone explain and get the answer pls? You invest $1000 today at 6ompounded annually and want to know how much money you will have in 5 years. what does the $1000 represent? solve for x by writing the logarithm in exponential form log3(3^4)=x A fund of $10,000 is set up to pay $250 at the end of each yearindefinitely. What is the funds rate?