Cherry is a realtor. She made the graph below to show the amount of taxes paid on the houses she has sold. Which of the following describes the rate at which the taxes changed?

It increased by $3 for every $2 increase in appraised value.
It increased by $200,000 for every $3,000 increase in appraised value.
It increased by $3,000 for every $200,000 increase in appraised value.
It increased by $3,000 for every $2,000 increase in appraised value.

Answer:

18e⁶

⁵/₁₂₈

Step-by-step explanation:

Rₙ(x) = f⁽ⁿ⁺¹⁾(c) / (n+1)! (x − a)ⁿ⁺¹, and a < c < x.

f(x) = eˣ, a = 0, and n = 1.  Thus R₁ is:

R₁(x) = f"(z)/2! x²

R₁(x) = eᶻ/2 x²

|R₁| is a maximum when |f"(z)| is a maximum.  On the domain 0 < z < 6, that maximum is e⁶.  At x = 6, the upper bound of |R₁| is:

|R₁| = 18e⁶

This time, f(x) = 1 / √(1 + x) = (1 + x)^-½.  a = 0, and n = 2.

R₂(x) = f⁽³⁾(z)/3! x³

Find f⁽³⁾(x):

f'(x) = -½ (1 + x)^-³/₂

f"(x) = ¾ (1 + x)^-⁵/₂

f⁽³⁾(x) = -¹⁵/₈ (1 + x)^-⁷/₂

On the domain -½ < z < 0, |f⁽³⁾(z)| is a maximum at z = 0.

|f⁽³⁾(z)| = ¹⁵/₈

Therefore, at x = -½, the upper bound of R₂ is:

|R₂| = (¹⁵/₈)/6 |(-½)³|

|R₂| = ⁵/₁₂₈

Answer:

10x + 5

A is the correct answer

Step-by-step explanation:

Step-by-step explanation:

let eqn be y = mx + b.

Since perpendicular, m = - 1/(-0.5) = 2

sub (-8, 0):

0 = 2(8) + b

b = - 16

therefore equation is y = 2x - 16

Topic: coordinate geometry

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Answer:

-6/10  or  -0.6

Step-by-step explanation:

m=y2-y1/x2-x1

-3-3=(-6)

5-(-5)=10

-6/10

hope this helps :3

if it did pls mark brainliest

Answer:

from [- infinity to (2, 0)] is when it is increasing. (both included).

from [(2, 0) to infinity ] is when it is decreasing. (both included).

By looking at the graph, we can determine this.

The slope of the increasing line is positive, and the slope of the decreasing line is negative.

Answer:

The cyclists will meet after 9 hours.

Step-by-step explanation:

Let t be the time the cyclists need to meet.

16t + 22t = 342

38t = 342

t = 9

Answer:

[tex]k=3[/tex]

Step-by-step explanation:

Given that:

Per pound cost of kentucky bluegrass seed = $5.75

Per pound cost of tall fescue seed = $4.50

Per pound cost of mixture of seeds = $5.25

[tex]k[/tex] is the amount of kentucky blue grass.

Total amount of the mixture = 5 pounds

Therefore, amount of tall fescue seed = (5 - [tex]k[/tex]) pounds

To find:

The value of [tex]k[/tex].

Cost of [tex]k[/tex] pounds of kentucky bluegrass seed = [tex]\$5.75k[/tex]

Cost of (5 - [tex]k[/tex]) pounds of tall fescue seed = [tex]\$(5-k)4.50[/tex]

As per question statement:

[tex]5.75k+(5-k)4.50=5.25\times 5\\\Rightarrow 575k+5\times 450 -450k=525\times5\\\Rightarrow 125k=75\times5\\\Rightarrow k =3\ pounds[/tex]

Amount of kentucky blue grass seed used = 3 pounds

Amount of tall fescue seed used = 5-3 = 2 pounds

Answer:

C: The American antelope

Step-by-step explanation:

Answer:hemisphere

Step-by-step explanation:

The volume of the hemisphere is greater when x = 2.

The formula for calculating the volume of a hemisphere is expressed as:

[tex]V=\frac{2}{3} \pi x^3[/tex]

Given that x = 2. Substitute x = 2 into the formula to get the volume of the hemisphere:

[tex]V=\frac{2}{3} \pi (2)^3\\V=\frac{16}{3}\pi\\V = 16.75 units ^ 3[/tex]

Next is to get the volume of a cube expressed as:

[tex]V = L^3\\Since \ L = x\\V = x^3\\V = 2^3\\V = 8 units^3[/tex]

Hence the volume of the hemisphere is greater when x = 2.

Learn more here: https://brainly.com/question/14022833

Answer:

d. 165 calories

Step-by-step explanation:

First of all, we would find the amount of calories in 1 gram of the artificial sweetener

1 gram = 220/75

1 gram = 2.93 calories

Therefore, 484 grams has;

484 * 2.93 = 165.2

Approximately, this is equal to 165 calories.

Method 2

220 grams of the artificial sweetener has 75 calories.

484 grams of the artificial sweetener has x calories.

Translating the word problem into an algebraic equation, we have;

220 = 75

484 = x

Cross-multiplying, we have;

220x = 75*484

220x = 36300

x = 36300/220

x = 165 calories.

Answer:

16 cd racks

Step-by-step explanation:

1,440%90

Answer:

-6

Step-by-step explanation:

-10-(-4)=-1+4=-6

Hope this helps plz mark brainliest ;D

Answer:

the value of x is 12, and the value of y is 9

Answer:

y=9

x=12

Step-by-step explanation:

this is because the top and bottom of the square are equal as well as from the sides of left to right.

Answer:

21 + 5

Step-by-step explanation:

A negate minus a negative equals a positive

Answer:

(-5)-21

Step-by-step explanation:

use the cummutitive property to make a new equation out of the original one to get (-5)-21

Answer:

Step-by-step explanation:

4/9-1/6=5/18

Step-by-step explanation:

[tex] \frac{4}{9} - \frac{1}{6} [/tex]

[tex] (\frac{4}{9} \times \frac{2}{2} ) - ( \frac{1}{6} \times \frac{3}{3} )[/tex]

[tex] \frac{8}{18} - \frac{3}{18} [/tex]

5/18

Step-by-step explanation:

I think is b i hope this works

Answer:$13.50

Step-by-step explanation:

Answer:

The area of the rectangle can be found using two different expressions: a(b + c) or ab + ac. The equality of these expressions, a(b + c) = ab + ac, is the distributive property.

Step-by-step explanation:

Hope this helped, Have a Wonderful Day!!!

Answer:

32

Step-by-step explanation:

4 times 2 is 8, - -7 is 15 plus 17 is 32

Answer:

Step-by-step explanation:

Let the length of one side of the square base be x

Let the height of the box by y

Volume of the box V = x²y

Since the box is opened at the top, the total surface area S = x² + 2xy + 2xy

S = x² + 4xy

Given

S = 7500sq in.

Substitute into the formula for calculating the total surface area

7500 = x² + 4xy

Make y the subject of the formula;

7500 - x² = 4xy

y = (7500-x²)/4x

Since V = x²y

V = x² (7500-x²)/4x

V = x(7500-x²)/4

V = 1/4(7500x-x³)

For us to maximize the volume, then dV/dx = 0

dV/dx = 1/4(7500-3x²)

1/4(7500-3x²) = 0

(7500-3x²) = 0

7500 = 3x²

x² = 7500/3

x² = 2500

x = √2500

x = 50in

Since y = (7500-x²)/4x

y = 7500-2500/4(50)

y = 5000/200

y = 25in

Hence the dimensions of the box that will maximize its volume is 50in by 50in by 25in.

The Volume of the box V = 50²*25

V = 2500*25

V= 62,500in³

Hence the maximum volume is 62,500in³

Answer:

I think the answer is B: Slope

Step-by-step explanation:

On a graph, proportional relationships are straight lines that extend through the origin. The relative steepness of the line is called slope; the slope of a graph is the same as the constant of proportionality of the equation.

Hope this helped, Have a Wonderful Day!!

The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The slope is the same as the unit rate and constant of proportionality in a slope. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ5

Answer:

(-5, 1)

Step-by-step explanation:

(x, y)

x moves left/right

y moves up/down

x = -5

y = -5 + 6 = 1

(-5, 1)

Answer:

Explained below.

Step-by-step explanation:

The human resource department at a certain company wants to conduct a survey regarding worker morale. The department has an alphabetical list of all 4,502 employees at the company and wants to conduct a systematic sample of size 50.

Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.

(a)

A sample of size 50.

Then the value of k will be: [tex]k=\frac{4502}{50}=90.04\approx 50[/tex]

Thus, the value of k is 90.

(b)

Label the employees from 1 to 4502.

And select every 90th employee.

So, the individuals who will be administered the survey are:

90th, 180th, 270th,...

It is add five two both sides.

Answer:

The probability of drawing increases from drawing a black card from the bag.

Step-by-step explanation:

If 5 were dropped from red it would leave red with 21 cards and if 1 was dropped from black cards it would leave 25 cards in black cards. It does change the probability of drawing a red card it is more likely now to draw a black card than a red card because there are more black cards than red.

Hope this helps <3