In 2002, the membership of a club totaled 5 thousand. By 2005, there were 29 thousand members of this club.
a. Write two ordered pairs of the form (x,y), where x is years after 2002 and y is membership in thousands.
b. Assume that the membership is linear between the years 2002 and 2005. Use the ordered pairs from part (a) to write an equation in slope-intercept form of the line
relating year and membership.
c. Use the linear equation from part (b) to predict membership in 2014.

Answers

Answer 1

Answer:

a)

(0, 5)

(3, 29)

b)  y = 8x + 5

c)  101 thousand

Step-by-step explanation:

slope m = (29-5)/(3-0) = 24/3 = 8

y-intercept = (0, b) = (0, 5)

y = mx + b

y = 8x + 5

2014 - 2002 = 12

y = 8(12) +5

y = 96 + 5 = 101


Related Questions

Why is 24lb greater than 124oz?

Answers

Answer:

1lb= 16oz

24(16)= 384

24lb= 384oz

Step-by-step explanation:

24lb is greater than 124oz after you convert the pounds to oz

if i'm correct please mark me as brainliest

state the angle pair relationship then find the value of x

Answers

Answer:

x = 11

Step-by-step explanation:

The given angles are corresponding angles and are congruent, then

12x - 9 = 10x + 13 ( subtract 10x from both sides )

2x - 9 = 13 ( add 9 to both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y = -6x - 8

Step-by-step explanation:

Two points on this line are (-3, 10) and (0, -8).  Moving from the first to the second, we see that x increases by 3 and y decreases by 18.  Thus, the rise and run are -18 and 3 respectively, so that the slope of this line is m = -6.

Adapt the slope-intercept form y = mx + b to this particular situation.  Recognize that the given (0, -8) is the y-intercept and that the slope, m, is -6.  

The equation of this line is thus

y = -6x - 8

If line segment AB,A(9,3) and B(-6,-9), what scale factor was used to dilate if new line is at A'(3,1) and B'(-2,-3)?

Answers

Answer:

The scale factor is 1/3

Step-by-step explanation:

Here, we want to get the scale factor used in dilating the original segment

As we can see;

(9,3) turned to (3,1)

looking at this , we can see that both coordinate values were divided by 3

So what this mean is that the particular scale factor used is reduction by 1/3

This is the case with the other point as (-6,-9) turned to (-2,-3)

Given the matrices AA and BB shown below, find A-B.A−B. A=\begin{bmatrix} 3 \\ 0\end{bmatrix}\,\,\,\,B=\begin{bmatrix} -1 \\ 0\end{bmatrix} A=[ 3 0 ​ ]B=[ −1 0 ​ ]

Answers

Answer:

[4  0]

Step-by-step explanation:

Given that:

[tex]A=[3\ \ 0], B=[-1\ \ 0][/tex]

Matrices is an array of numbers, symbols and expressions arranged in rows and columns. Matrices can be used to solve system of equations. Many mathematical operations can be done on matrices such as addition, subtraction, multiplication, scalar multiplication and so on.

Addition and subtraction of two matrices can be done if they have the same dimensions.  This is done by simply adding or subtracting the corresponding entries in matrices.

[tex]A=[3\ \ 0], B=[-1\ \ 0]\\\\A-B=[3-(-1) \ \ 0-0]=[4\ \ 0][/tex]

Which of the following transformations does not
preserve congruence?
F. (x,y) → (-x, -Y)
G. (x, y) = (-y, -x)
H. (x, y) = (x + 9.y + 9)
J. (x,y) → (9x, 9y)

Answers

Answer:

(9x, 9y) dilation

Step-by-step explanation:

(9, 9y) is the answer because F is 180 degrees rotations, G is not real, H is translations, and J is dilations and dilations is multiplying which makes the transformation non congruent.

Your welcome

The eastbound train travels 10 miles per hour faster than the westbound train. After 2 hours, they are 232 miles apart. At what speeds are the two trains traveling?

Answers

Answer:

48,58

Step-by-step explanation:

Let The speed of the west bound train be x

Let the east bound train be x+10

The speeds can be calculated as follows

2(2x+10)= 232

4x + 40= 232

4x= 232-40

4x= 192

x= 192/4

= 48

Hence the speedof the west bound train is 48

The speed of the east bound train is 48+10

= 58

Part B:

Louis wants to buy skis that have a regular price of $328. They have been marked down 25% off the regular price. Louis calculates the new total price including tax.

How much money will Louis save on the total cost because of the markdown?

Answers

Answer:

Part A

Calculate sale price and add sales tax:

20% off $339 add tax ⇒ $339*0.8*1.085 = $294.25 ≤ $30015% off $310 add tax ⇒ $310*0.85*1.085 = $285.90 ≤ $30025% off $365 add tax ⇒ $365*0.75*1.085 = $297.02  ≤ $30020% off $300 add tax ⇒ $300*0.8*1.085 = $260.40  ≤ $300

Each price is acceptable as less than $300

Part B

Markdown with tax added:

25% off $328 add tax ⇒ $328*0.75*1.085 = $266.91

Without discount, the price with the tax added:

$328*1.085 = $355.88

The difference is the amount Luis has saved:

$355.88 - $266.91 = $88.97

A store offers a discount of 40%. The discount price of a shirt is $42 . What is the regular price?

Answers

Answer:

$70 is the regular price of the shirt.

Step-by-step explanation:

One way in which to find the regular price here is to write the equation

0.60s = $42.  A 40% discount is reflected in 100% - 40%, or 1.00 - 0.40, which comes out to 0.60.

If 0.60s = $42, then the regular price of the shirt is

s = ($42)/0.60 = $70

Answer:

$70.00

Step-by-step explanation:

use the percent off calculator on freeonlinecalculatoruse.com

hope this helps :)

∠B= please give me the answer!

Answers

Answer:

I think it's 45 degrees

Step-by-step explanation:

<c is 90 degrees and the interior of every triangle is 180 degrees so then we subtract 90 from 180 which is 90 so we divide 90 by two since b and a seem to be equal which is 45 degrees.

Ann runs a day care center. Of the last 18 children to enroll at the day care center, 8 of them have been elementary school students. Considering this data, how many of the next 9 children to enroll should you expect to be elementary school students?

Answers

4 children i think. since you’re halving 18 you will half the 8 as well

We would expect that 4 of the next 9 children to enroll will be elementary school students.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

If 8 out of the last 18 children to enroll at the daycare center were elementary school students,

We can find the fraction of elementary school students in that group by dividing the number of elementary school students by the total number of children:

= 8/18

= 4/9

This means that 4 out of every 9 children enrolled were elementary school students.

If we want to predict how many of the next 9 children to enroll will be elementary school students,

We can use this ratio:

4/9 of 9 children

= (4/9) x 9

= 4

Therefore,

We would expect that 4 of the next 9 children to enroll will be elementary school students.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

Please help I’ll make you the brainiest

Answers

Answer:

B is the right answer

Step-by-step explanation:

1(z^8-20)

=1/z^12

Answer:

1/z¹² (3rd answer choice)

Step-by-step explanation:

z0(z2z−5)4

=

z8/z20

=

1/z¹²

solve for x. no links. ​

Answers

assuming we are gonna use sohcahtoa

it would be soh or sin is opposite over hypotenuse

we use the equation sin40*=x/24

it would give us the answer 15.4 rounded to the nearest tenth

15.4

Please help... Geometry

Answers

Answer:

i cant load the picture

Step-by-step explanation:

Answer:

[tex] \bold{a) \: BC} \: = \bold{ \boxed{13 \sqrt{2} }}[/tex]

[tex] \bold{b) \: x = 7}[/tex]

[tex] \large{ \mathbb{ \purple{hope \: it \: helps}}}[/tex]

The ratio of two numbers is 8: 5. Their sum is 91. What is the
greater number?

Answers

Answer:

Step-by-step explanation:

a:b = 8:5

a = 8x, b= 5x

a+b = 91

13x = 91

x = 7

a=8x = 56

b = 5x = 35

The larger number is 56

7 2/5 - 3 1/8=
Another one

Answers

Answer:

The answer is 4.725

Step-by-step explanation:

Answer:

4.725 is the correct answer

Step-by-step explanation:

PLEASE HELP!!!! WILL MAKE BRAINLIEST!!! 1-5

Answers

The answer is B. This is because he has lots of friends and money left over.

Please help !! 25 points

(No links or ill report you, just reply the answer) thanks

Use the general form of the equation for a circle to help write equations for the circles described below:

a) Center (2, -1) and radius 4

b) center (-2, 2) and radius 3

Answers

Step-by-step explanation:

a. (x-2)^2 + (y+1)^2 = 16

b. (x + 2)^2 + (y-2)^2 = 9

Please helpppppp! WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

Its hard  to tell the width and length from this way, but here i got 104 square inches.

EASY- Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the finished object assuming it is empty inside.

Answers

Given:

A combined figure of a triangular prism and a cuboid.

To find:

The volume of the finished object assuming it is empty inside.

Solution:

From the given figure it is clear that the dimensions of the cuboid are 6 cm, 8 cm and 5 cm.

So, the volume of the cuboid is:

[tex]V_1=length\times width\times height[/tex]

[tex]V_1=6\times 8\times 5[/tex]

[tex]V_1=240[/tex]

The volume of the cuboid is 240 cubic cm.

The area of a triangle is:

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

Thus, the base area of the triangular prism whose base is 8 cm and height 4 cm, is:

[tex]B=\dfrac{1}{2}\times 8\times 4[/tex]

[tex]B=16[/tex]

The volume of a triangular prism is:

[tex]V_2=Bh[/tex]

Where, B is the base area and h is the height of the prism.

The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:

[tex]V_2=16(5)[/tex]

[tex]V_2=80[/tex]

Now, the volume of the given figure is:

[tex]V=V_1+V_2[/tex]

[tex]V=240+80[/tex]

[tex]V=320[/tex]

Hence, the volume of the finished object is 320 cubic cm.

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

35

Step-by-step explanation:

Rows: 7+7+7+7+7=35

Columns: 5+5+5+5+5+5+5=35

How do I give Brainlest

Answers

Answer:

Press the crown button

Step-by-step explanation:

Miesha has 3 red pens and 2 black pens in her pencil case. If she selects two pens without looking what is the probability that:

The first one will be black

The first will be black and the second will be black

Answers

Answer:

the first one ill be black i think

Step-by-step explanation:

she has more red so the first will probably be black and the other will be red your welcome  and have a nice day/night

my grades not looking to well if you guys can help me with some problems i will give points and brainliest i need this problem and a few more done

Answers

Answer:

8 units

Step-by-step explanation:

Parallel lines cut the transversals into proportional segments:

ST / UT = SR / QRST / 16 = 18/ 36ST / 16 = 1/2ST = 16/2ST = 8

ST be x

Apply Thales theorem

x/16=18/36=1/2x=16/2ST=8unitw

Nevaeh went shopping for a new phone because of a discount sale. She multiplied the price of the phone by 0.95 to find the price she would actually have to pay, before tax. What percent discount is the sale?

Answers

Answer:

95% off

Step-by-step explanation:

because the percent u times by the actual price is the percent u have off

Write the product using exponents. (1/3.(1/3)(1/3) Using exponents, the product is​

Answers

Answer:

The answer is 1/3 to the power of 3

Step-by-step explanation:

A painting is going to be reprinted as posters. The dimensions of the painting are 3/4 of a yard to and 1/2 of a yard wide, The poster company is trying to determine how big to make the poster For each yard of width, how many yards of height are needed??​

Answers

Answer:

3/8 yards

Step-by-step explanation:

3/4 yard tall and 1/2 yard wide

Multiply the two fractions

3/4 (1/2)

= 3/8 yards

If the width of the rectangular painting is one unit then the height of the painting will be 3/8 yards. Then the correct option is A.

What is a rectangle?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A painting is going to be reprinted as a poster.

The dimensions of the painting are 3/4 of a yard and 1/2 of a yard wide.

The poster company is trying to determine how big to make the poster For each yard of width,

Let h be the height of the poster. Then we have

[tex]\rm h \times 1 = \dfrac{3}{4} \times \dfarc{1}{2}\\\\h \ = \dfrac{3}{8}[/tex]

If the width of the rectangular painting is one unit then the height of the painting will be 3/8. Then the correct option is A.

More about the rectangle link is given below.

https://brainly.com/question/10046743

Find two numbers that meet the requirements of the situation in each question. Put the smaller of the two numbers in the first blank and the larger of the two numbers in the second blank.

Multiply to give you 24 and add to give you -10.

Answers

Answer:

-6, -4

Step-by-step explanation:

-6 x -4 = 24

-6 + -4 = -10

Answer:

-6 and -4

Step-by-step explanation:

two negs multiplied =positive

two negs added = negative

6c^2 - 5d + 8 when c =5 and d=4

Answers

Answer:

138

Step-by-step explanation:

First, we can simply replace the variables with their numerical values.

Whenever you see a number with a letter (variable) in front of it, this means to multiply.

c=5 and d=4

6 × 5^2 - 5 × 4 + 8

Since there are multiple operations in this expression, we must use PEMDAS.

ParenthesisExponentiation (exponents)Multiplication/Division (Solve whichever comes first)Addition/Subtraction (Solve whichever comes first)

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Now, we can apply the operations.

There are no parenthesis.

In this expression, exponents are present.

6 × 5^2 - 5 × 4 + 8

6 × 25 - 5 × 4 + 8

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

There is multiplication.

6 × 25 - 5 × 4 + 8

150 - 5 × 4 + 8

150 - 20 + 8

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

There is subtraction.

150 - 20 + 8

130 + 8

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

There is addition.

130 + 8

158

Therefore, 6 × 5^2 - 5 × 4 + 8 = 138.

Which of the following sets of numbers contains only rational numbers?

Answers

Answer:

f

Step-by-step explanation:

rational numbers are numbers that can be written in the form of a fraction

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