Artificial turf costs $15/sq ft to install, and sod costs$0.15/sq ft to install. Write a quadratic function that represents the cost of installing artificial turf on a square plot with a side length of x feet, and a second quadratic function that represents the cost of installing sod on the same plot. How do the graphs of the two functions differ?

Answer:

One Solution

Step-by-step explanation:

So we have the equation:

\(4x+(-3x+2)=2x+5-2\)

On both sides, combine like terms:

\((4x-3x)+2=2x+(5-2)\)

Simplify:

\(x+2=2x+3\)

Subtract x from both sides. The left cancels:

\((x+2)-x=(2x+3)-x\\2=x+3\)

Subtract 3 from both sides. The right cancels:

\((2)-3=(x+3)-3\\-1=x\)

Flip:

\(x=-1\)

So, our equation only has one solution.

And the answer is -1 :)

The scale factor is: 1.8

because of :

\(\frac{36}{20}=1.8\\ \\\\\frac{25.2}{14}=1.8\)

Answer:

Not 100% sure but I think it's c

The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.

In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.

An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.

There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.

The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.

for more such questions on  performance

https://brainly.com/question/27953070

#SPJ8

Answer:

the first and second M is undefined because we have no information to make an equation

The value of y when f(y) = -8 is -1.

Given,

f(y) = 5y - 3

We have to find the value of y if f(y) is given as -8

f(y) = 5y - 3

Substitute f(y) = -8 in the expression.

-8 = 5y - 3

Add 3 to both sides

-8 + 3 = 5y - 3 + 3

We get,

3 - 8 = 5y

That is,

-5 = 5y

Divide both sides by 5

-5/5 = 5y/5

Then,

-1 = y

That is, the value of y when f(y) = -8 is -1.

Learn more about value of f(y) here:

https://brainly.com/question/23803752

#SPJ1

The value of the variable is 1. 40

we need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.

these algebraic expressions are also made up of arithmetic operations.

These arithmetic operations are listed as;

From the information given, we have that;

7.5x/11=4.8/5

cross multiply the values, we get;

7.5x(5) = 4.8(11)

multiply the values

37. 5x = 52. 8

Divide both sides by the coefficient of x, we get;

x = 1. 40

Learn about algebraic expressions at: https://brainly.com/question/4541471

#SPJ1

Answer:

2/5

Step-by-step explanation:

Answer:

2.25 is your answer

Step-by-step explanation:

Answer:

∠ I = 60°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan I = \(\frac{opposite}{adjacent }\) = \(\frac{HJ}{IJ}\) = \(\frac{3\sqrt{30} }{3\sqrt{10} }\) = \(\frac{\sqrt{30} }{\sqrt{10} }\) = \(\sqrt{\frac{30}{10} }\) = \(\sqrt{3}\) , then

∠ I = \(tan^{-1}\) (\(\sqrt{3}\) ) = 60°

Answer:

  60°

Step-by-step explanation:

You want the measure of angle I in right triangle HIJ, given that the side opposite is 3√30 and the side adjacent is 3√10.

The tangent relation is ...

  Tan = Opposite/Adjacent

In this triangle, ...

  tan(I) = (3√30)/(3√10) = √(30/10) = √3

Then the angle is ...

  I = arctan(√3) = 60°

The measure of angle I is 60°.

__

Additional comment

The trig functions of 30° and 45° and their relationships to each other are based on the side relationships of the two "special" right triangles:

  30°-60°-90° triangle has side ratios 1 : √3 : 2

  45°-45°-90° triangle has side ratios 1 : 1 : √2

Of course, side lengths are in the same order as their opposite angles.

The mnemonic SOH CAH TOA can help you remember the necessary relationships:

There are 50 predicted rolls for 5 in 300 times of rolls.

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Janet rolls a 6-sided number cube 300 times,

Probability = (Favourable Outcomes)/(Possible Outcomes)

Favourable Outcomes: 5 (1 total)

Possible Outcomes: 1,2,3,4,5,6 (6 total)

Probability of a 5 in any given roll of a die = 1/6

1/6x300 = 50 = 50 predicted roll with 5.

Hence, There are 50 predicted rolls for 5 in 300 times of rolls.

For more references on probability, click;

https://brainly.com/question/11234923

#SPJ1

Answer: 9530

Step-by-step explanation: It has to be 9 in the thousands place to start of. And for it to round to 10,000, it would have to be 5 since it would round up one more thousand. And I would just say 3 because its bigger. Then 0

The values of x and y after solving this system of equations will be 32/35 and -88/105 respectively.

System of equations are a set of two or more equations that contain variables. The values of the variables can be calculated using either method of elimination or substitution. The values of the variables must then satisfy all the equations.

For a set of two equations, in elimination we make the coefficient of any one variable equal to the coefficient of the same variable in the other equation. This can be done by multiplying or dividing the whole equation accordingly. Then we subtract the equations from each other and solve for one variable.

6x - 3y = 8 (multiplying this equation by -2 to make the coefficient of y equal to that of in the equation 23x + 6y = 16)

Now are equations are

-12x + 6y = -16 and 23x + 6y = 16

subtracting eq 1 from eq 2 gives,

35x = 32 (Note that y has now been eliminated)

x = 32/35

Substituting this value of x in any one of the equations will then give the value of y to be -88/105

To learn more about system of equations visit the link given below:

https://brainly.com/question/12895249

#SBJ4

Answer:

D, because in between -3 and -2 is -2 1/2, and absolute values are not negative, so the answer is 2 1/2, or D

Answer:

C.

Step-by-step explanation:

Answer:

22.4

Step-by-step explanation:

Answer:

$22.40

Step-by-step explanation:

To find the amount of sales tax you have to multiply the price by the decimal form of the percent of sales tax.

In this situation, you would multiply 320 by .07.

(320)(.07) = 22.40

Therefore, the amount of sales tax is $22.40.

I hope this helps!!

- Kay :)

Answer:

  12√2 feet ≈ 16.97 feet

Step-by-step explanation:

For the dimensions shown in the attached diagram, the distance "a" along the ladder from the ground to the fence is ...

  a = (6 ft)/sin(x) = (6 ft)/sin(0.82) ≈ 8.206 ft

The distance along the ladder from the top of the fence to the wall is ...

  b = (6 ft)/cos(x) = (6 ft)/cos(0.82) ≈ 8.795 ft

__

In general, the distance along the ladder from the ground to the wall is ...

  L(x) = a +b

  L(x) = 6/sin(x) +6/cos(x)

This distance will be shortest for the case where the derivative with respect to x is zero.

  L'(x) = 6(-cos(x)/sin(x)² +sin(x)/cos(x)²) = 6(sin(x)³ -cos(x)³)/(sin(x)²cos(x²))

This will be zero when the numerator is zero:

  0 = 6(sin(x) -cos(x))(1 -sin(x)cos(x))

The last factor is always positive, so the solution here is ...

  sin(x) = cos(x)   ⇒   x = π/4

And the length of the shortest ladder is ...

  L(π/4) = 6√2 + 6√2

  L(π/4) = 12√2 . . . . feet

_____

The ladder length for the "trial" angle of 0.82 radians was ...

  8.206 +8.795 = 17.001 . . . ft

The actual shortest ladder is ...

  12√2 = 16.971 . . . feet

Answer:

to convey the parametric expression to be use the explosions

Answer:

The radius of the circle is 3 units

The center of the circle lies on the x-axis.

The radius of this circle is the same as the radius of the circle whose equation is x^2 + y^2 = 9

Step-by-step explanation:

Answer:

The ordered pair (15, 12) means that 15 pounds of beans cost $12.

Step-by-step explanation:

We know that the x-axis is the pounds of beans and the costs are the y-axis.

Answer:

x = 18

Step-by-step explanation:

hope it helps:)

Answer:

12.5 minutes

Step-by-step explanation:

Given that,

Fernando can run 600 meters  in 5 minutes.

We need to find how many minutes would it take him to run 1500 meters.

ATQ,

600 m = 5 min

1 m = (5/600) min

For 1500 m,

\(t=\dfrac{5}{600}\times 1500\\\\t=12.5\ min\)

So, it will take 12.5 minutes to run 1500 m.

According to the data, it can be inferred that Lin is faster than Andre because she is going at 0.3 km/min speed while he is going at 0.25 km/min speed.

To calculate who goes faster we must divide the time into the distance traveled by each character as shown below:

According to the above, the point K of each would be equal to the distance that each of them travels in one minute. As shown in the graph, after 5min (Lin) and 8min (Andre), each one reaches their respective destination located 1.5km and 2km away, respectively, taking the point (0,0) as the starting point.

The graph is attached.

Learn more about coordinates in: https://brainly.com/question/7869125

#SPJ1

Answer:

Equations: 10+1 & 10-1

This would trick them good!

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

So

Hence

2in line represents

The number of the adult will be 77

The number of the child will be 160.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

237 peoples used the public swimming pool.

And, The daily prices are $1.75 for children and $2 for adult.

Now,

Let The number of the adult = x

The number of the child = y

So, We can formulate;

237 peoples used the public swimming pool.

⇒ x + y = 237 ..(i)

And, The daily prices are $1.75 for children and $2 for adult.

⇒ 2x + 1.75y = 444  ..(ii)

From (i);

⇒ x + y = 237

⇒ x = 237 - y

Substitute above value in (ii), we get;

⇒ 2x + 1.75y = 444

⇒ 2 (237 - y) + 1.75y = 444

⇒ 474 - 2y + 1.75y = 444

⇒ 474 - 444 = 0.25y

⇒ 40 = 0.25y

⇒ y = 160

And, from (i),

⇒ x + y = 237

⇒ x + 160 = 237

⇒ x  = 77

Thus, The number of the adult = 77

The number of the child = 160.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.

Answer:

No, it is not

Step-by-step explanation:

Answer:

No it is not

Step-by-step explanation: