A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option. Part B: Graph each equation on the same set of axes and compare. Under what conditions is each purchasing option the best choice? Be sure to provide a thorough answer. Use detailed information from your graph to back up your choices.

Answer:

Here are some examples:

[tex] \sqrt{9}, 18/3, 15, -6, 1.2, 0 [/tex]

Answer:

The answer is A.

Step-by-step explanation:

We need to find the least amount of paper needed to wrap the entire cylinder. Therefore, we simply need to find the surface area of the cylinder.

Recall the formula for the surface area of a cylinder:

[tex]SA=2\pi r^2+2\pi rh[/tex]

We know the diameter is eight inches, so the radius is four inches. We also know the height is 12. Using 3.14 for π, substitute:

[tex]SA=2(3.14)(4)^2+2(3.14)(4)(12)[/tex]

[tex]SA\approx 401.92\text{ in}^2[/tex]

Our answer is A.

Answer:

It's A

Step-by-step explanation:

I GOT IT RIGHT ON EDGE

Answer:

B

Step-by-step explanation:

m-1.35=2.30

you would add -1.35 to the other side

so then you have

m=3.65

which is how much money she had to begin with

Answer:

B

Step-by-step explanation:

m - 1.35 = 2.30

Answer:

160 athletes

Step-by-step explanation:

Let the total number of athletes in the meet be x

Given that 24 athletes who  threw the shot put at a track and field meet are 15/100 of all the  athletes in the meet .

If we write this in mathematical algebraic expression

15/100 of all the  athletes in the meet = 24

15/100 * x = 24

=> x = 24*100/15 = 24*100/3*5 = 160

Thus, 160 athletes competed in the meet.

Answer:

A)Only Line A is well placed line of best fit

Step-by-step explanation:

Best fit line :A line through a scatter plot of data points that best expresses the relationship between those points is called best fit line

The least-squares method provides the closest relationship between the dependent and independent variables by minimizing the distance between the residuals and the line of best fit

By considering both the given graphs

We can see that Line A gives the minimum distance between residuals and line of best fit whereas Line B does not give the minimum distance between residuals and line of best fit

So,Option A is true

A)Only Line A is well placed line of best fit

Answer: a) only line A is a well placed line of best fit

Step-by-step explanation:

Answer:

The probability that the sample mean is greater than 2.1 but less than 2.6 is 0.2236.

Step-by-step explanation:

The random variable X follows a discrete uniform distribution.

The probability mass function of X is:

[tex]f(x)=\left \{ {{\frac{1}{3}};\ x=1,2,3 \atop {0;\ \text{otherwise}}} \right.[/tex]

Then,

a = 1

b = 3

The mean and standard deviation of the random variable X are:

[tex]\mu=\frac{b+a}{2}=\frac{3+1}{2}=2\\\\\sigma=\sqrt{\frac{(b-a+1)^{2}-1}{12}}=\sqrt{\frac{(3-1+1)^{2}-1}{12}}=0.8165[/tex]

The sample size is, n = 39.

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

As n = 39 > 30, the sampling distribution of sample mean of X will follow a Normal distribution approximately.

Compute the probability that the sample mean is greater than 2.1 but less than 2.6 as follows:

[tex]P(2.1<\bar X<2.6)=P(\frac{2.1-2.0}{0.8165/\sqrt{39}}<\frac{\bar X-\mu_{\bar x}}{\sigma/\sqrt{n}}<\frac{2.6-2.0}{0.8165/\sqrt{39}})[/tex]

                          [tex]=P(0.76<Z<4.59)\\\\=P(Z<4.59)-P(Z<0.76)\\\\=1-0.77637\\\\=0.22363\\\\\approx 0.2236[/tex]

Thus, the probability that the sample mean is greater than 2.1 but less than 2.6 is 0.2236.

Answer:

x = 1

Step-by-step explanation:

6(x+4)=30    (divide both sides by 6)

(x+4) = 30/6

x+4 = 5   (subtract 4 from both sides)

x = 5 - 4

x = 1

Step-by-step explanation: 6(x+4)=30

(Distributive property): 6x+24=30

( Transposition method): 6x=30-24( + becomes -) 6x=6

(Transpose 6 to rhs) x=6/6( since it was multiplication on LHS it becomes division in RHS) x=1

Answer:

  bbb

Step-by-step explanation:

bbb  idk sorry x

Answer:

1,3,6prop. 245notprop

I'm gonna pack my things and leave you behind

This feeling's old and I know that I've made up my mind

I hope you feel what I felt when you shattered my soul

'Cause you were cool and I'm a fool

So please let me go

But I love you so (please let me go)

I love you so (please let me go)

I love you so (please let me go)

I love you so

Answer:

"BOB" gave back 1000 that would be 928439 - 1000 = 927439(BOB has)

"BOB" gave back 1000 to Milly.. 29924827134702 + 1000 = 2.9924827(MILLY has)

Step-by-step explanation:

well, first, if "BOB" gave back 1000 that would be 928439 - 1000 = 927439, so "BOB" now has 27439. and now, "BOB" gave back 1000 to Milly sooo now it is 29924827134702 + 1000 = 2.9924827 (e+13) soooo ya thats it

hope this helped LOL

Answer:

y=3/2x+1

Step-by-step explanation:

y-4= -⅔(x-6)

y-4=-⅔x+4

y=-⅔x+4+4

(equation of line 1) y= -⅔x+8 gradient= -⅔

(line 2)gradient=3/2

note* the gradients of perpendicular lines multiplied result to -1

gradient=y²-y²

x²-x¹

3 =y+2

2. x+2

multiply both sides by 2(x+2)to remove the denominators

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

3x+6=2y+4

3x+6-4=2y

3x+2=2y

divide all sides by 2

3/2x+1=y

y=3/2x+1

Answer:

D. 2

Step-by-step explanation:

The rate of change is also considered the slope in graph form.

In the first chart every time the t-value goes up twice the c-value goes up four times.

The same can be said for the graph on the bottom.

Work Shown:

The idea is that you replace f(x) with y, swap x and y, then solve for y to get the inverse.

[tex]f(x) = \frac{3x-2}{6}\\\\y = \frac{3x-2}{6}\\\\x = \frac{3y-2}{6}\\\\6x = 3y-2\\\\3y-2 = 6x\\\\3y = 6x+2\\\\y = \frac{6x+2}{3}\\\\f^{-1}(x) = \frac{6x+2}{3}\\\\[/tex]

Answer:

Square centimeters

Step-by-step explanation:

As the area of the picture is 300 cm², Square centimeters are the appropriate unit for measuring the area of the picture.

please mark me brainliest!

Answer:

Solution,

Radius(R)= 7 cm

Area of quarter circle:

[tex] \frac{\pi \: {r}^{2} }{4} [/tex]

[tex] = \frac{3.142 \times 49}{4} [/tex]

[tex] = 38.4895 \: {cm}^{2} [/tex]

Hope this helps...

Good luck on your assignment..

Step-by-step explanation:

From the graph we notice that the minimum of the function 1 is -1

From the table we notice that the minimum of the second function is 2

so the function #2 has a greater minimum

The function is x²+3x-4

Derivate it and solve the equation y'=0

y'= 2x+3

y'=0

2x+3=0

2x= -3

x = -3/2

Derivate it again:

y"= 2> 0⇒ so the function reaches the minimum at -3/2

the image of -3/2 is :

y= (-3/2)²+3*(-3/2)-4 = -6.25

so the answer is

#3<#1<#2

Answer:

x = 80°

Step-by-step explanation:

x = 180 - ( 129 + 71 ) / 2

Thanks!

Hey there! :)

Answer:

(1, 0).

Step-by-step explanation:

Convert from standard form to vertex form by completing the square:

y = x² - 2x + 1

Move 1 to the other side:

-1 = x² - 2x

Complete the square. Remember to add to both sides:

-1 + (1) = x² -2x + 1

Simplify:

0 = (x - 1)²

The function in vertex form is:

y = (x - 1)²

Therefore, the vertex is:

(1, 0).

Answer: - 4

Step-by-step explanation:

Given that A = - 4, B = 3

According to the instruction :

Raise -2 to the double of b and divide the result by the quadruple of a. A=-4 and B =+3

Raise - 2 to the double of b ;

Result = (-2)^(2*3) = (-2)^6 = 64

Divide result by quadruple of a

a = - 4 ;

Quadruple of 'a' means 4 times as many as 'a' = '4 * a' quadruple of a = (-4) * 4 = - 16

= (-2)^6 / -16

64 / - 16

64 / - 16 = - 4

Answer:

y - 8 = - [tex]\frac{2}{3}[/tex](x + 3)

Step-by-step explanation:

y = - [tex]\frac{2}{3}[/tex] x + 8 ← is in slope- intercept form with slope m = - [tex]\frac{2}{3}[/tex]

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - [tex]\frac{2}{3}[/tex] and (a, b) = (- 3, 8), thus

y - 8 = - [tex]\frac{2}{3}[/tex] (x - (- 3)), that is

y - 8 = - [tex]\frac{2}{3}[/tex] (x + 3)

Answer:

(2√5)/5

Explanation:

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

From the question we can deduced that the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance, we can say that the y-coordinate, is twice of the horizontal, then let call the horizontal "y", the vertical would be 2y.

from the attachment the question on the unit circle is interpreted using a figure,then, hypotenuse was first calculated

Answer:

C, 2 sqrt 5 / 5

i think it would be 9.6 inches because 8 feet is 96 total inches so you could divide that by 10 getting every inch on the model to represent 9.6 inches on jeffs truck totaling at 96 inches or 8 feet

Answer:

Option D). is correct choice.

Step-by-step explanation:

The linear approximation for f(x) at x = a is y = 5

Best Regards!

Answer:

9

Step-by-step explanation:

One Decimal Place Rule #3: If the last digit in 8.99 is 5 or more and the second to the last digit in 8.99 is 9, then remove the last digit, make the second to last digit 0, and add 1 to the number to the left of the decimal place.

Hope this helped!

Answer:

1004 is the mean

Step-by-step explanation:

add the 2 numbers and divide by 2

Answer:

1004

Step-by-step explanation:

mean is equals to total ÷ no.

1003+1005= 2008÷2=1004

Answer:

The measure of an arc is a degree or radian measure of how wide the arc is.  Arc length is the length of the segment inside the arc on the circumference of the circle.

Step-by-step explanation:

Answer:  Angle Bisector Theorem states that if a ray bisect an angle of a triangle,then it divides the opposite side into segments that are proportional to the other two side.

if this helped pls mark brainliest.

Answer:  Angle Bisector Theorem states that if a ray bisect an angle of a triangle,then it divides the opposite side into segments that are proportional to the other two side.

Answer:

The rate of change will be the same for all years.

Step-by-step explanation:

As it is mentioned in the question, that the rate of change is 7%.

And as we know that

= I (1 + R)^T

where

I = Initial amount

R = Rate of growth,

And T = Time.

So in the given case, the rate is 0.07, or 7% while on the other hand the growth RATE remains constant and the growing amount would be increased each year.

Therefore the rate of change would be the same for all the year

Answer:

B. The Range is the set of real numbers greater than or equal to zero

C. The Domain is the set of all real numbers .

Step-by-step explanation:

The Domain is the set of real numbers for which the function is defined. In this case, the Domain is the set of all real numbers .

The Range is the set of real numbers that are connected to the elements of the domain. In this case, you see that only real numbers above (or in the) x-axis are connected to the x-values of the domain. Then another answer to check is;

B. The Range is the set of real numbers greater than or equal to zero.

This question is incomplete because it lacks the appropriate attachment containing the argument of Paul and Manuel

Kindly find attached the appropriate attachment necessary to solve this question.

The attachment was sourced online

Answer:

a) Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X

Step-by-step explanation:

From the above question, we are given two shapes: Cone W and Square Pyramid

Cone W: Radius = 8cm, Height = 5cm

Volume of a Cone = 1/3 πr²h

Where π = 3.14

Volume of Cone X = 1/3 × 3.14 × 8² × 5

= 334.93cm³

For Square pyramid X

Volume = 1/3 × Base Area × Height

Base Area of Cone W = Base Area of square pyramid X = πr²

Where π = 3.14

Base area = 3.14 × 8² = 200.96cm²

Height of Square pyramid X = Height of Cone W = 5cm

Volume of Square pyramid = 1/3 ×200.96cm² × 5cm

= 334.93cm³

Therefore, from my above calculation and compared with the arguments of Paul and Manuel, Option a) "Paul's argument is correct, Manuel used the wrong formula to find the volume of square pyramid X" is the correct option.

The reason why is because the correct formula for the volume of a square pyramid = 1/3 × Base area × Height

This was the formula Paul used.

Manuel on the other hand used the formula: Base Area × Height to find the volume of cone W. This formula is wrong.

Option a, is the correct answer.

Answer: A. Paul's argument is correct; Manuel used the incorrect formula to find the volume of square pyramid X.

Proof of validity shown below along with the attached chart not included in initial question!