Jenny has 1 stamp to begin her collection. She then collects 7 stamps per day. Let y represent the total amount of stamps in Jenny'scollection after x days.

Express the equation in the form of y=mx+b
Enter your answer in the box
PLS HELP!!!

Answers

Answer 1
Answer:

Answer:

y=7x+1

Step-by-step explanation:

Linear modeling

Consists of finding a linear equation that represents a situation in real life.

Jenny starts her stamps collection with only 1 stamp.

Then she collects 7 stamps per day.

Let's call

y=total amount of stamps in Jenny's collection

x=number of days

Knowing Jenny collects 7 stamps per day, then in x days, she collects 7x stamps. The total amount can be obtained by adding the first stamp she had. Thus, the model is:

y=7x+1

Answer 2
Answer:

Answer:

Was it correct??? y=7x+1 is that correct or wrong?

Step-by-step explanation:


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In the coordinate plane, triangle ABC has vertices A(1,-2), B(1,0.5), and C(2,1) and triangle DEF has vertices D(4,-3), E(4,2), and F(6,3). The triangles are similar because DEF is the image of ABC under a dilation with center (_,_) and scale factor ___.PLEASE HELPP​

Answers

The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

The ratio of the lengths of corresponding sides of triangles ABC and DEF.

AB and DE are corresponding sides, so:

AB/DE = (distance between A and B) / (distance between D and E)

= 2.5 / 5

= 0.5

BC and EF are corresponding sides, so:

BC/EF = (distance between B and C) / (distance between E and F)

=1.118 / 2.236

= 0.5

AC and DF are corresponding sides, so:

AC/DF = (distance between A and C) / (distance between D and F)

AC/DF = 2.236 / 4.472

= 0.5

We see that all three ratios are equal to 0.5.

Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.

To learn more on Triangles click:

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#SPJ1

Answer:

(A) the center of dilation is at (-2,-1)

(E) the scale factor is 2

Let f(x)=3x+5, g(x)=2^x
Find f(g(x))

Answers

Answer:

The expression will be 3(2^x) + 5

Step-by-step explanation:

In order to find the new expression, you have to let g(x) be the x :

f(x) = 3x + 5

g(x) =  {2}^(x)

fg(x) = 3( {2}^(x) ) + 5

Which phrase represents the algebraic expression 3d+7?

Answers

Answer:

3 multiplied by a variable d and add seven to it

Step-by-step explanation:

3 multiplied by a variable d and add seven to it.

There are 15 pieces of fruit in the fruit in a bowl and 6 of them are apples. What percentage of the pieces of the fruit in the bowl are apples0.06%

0.4

6%

40%

Answers

The answer is 0.4 because 6/15 is 2/5 which is 0.4 as a decimal

I need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The answer is
A:positive
It would be negative

A cable that weighs 6 lb/ft is used to lift 500 lb of coal up a mine shaft 400 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum. (Let x be the distance in feet below the top of the shaft. Enter xi* as xi.)

Answers

The work done to lift the coal is 6.8*10^5 ft-lb

Data;

  • weight of cable = 6lb/ft
  • weight of coal = 500lb
  • length of mine shaft = 400ft

Let the distance (ft) below top of the shaft be represented by x

The weight of the coal  to be lifted from mine = 500lb

Work Done

The work done to lift the coal is

work = force * displacement\nw=fx\nforce f(x) = 500 + 6x\nw_i= f(x_i)=[500+6x_i]\delta x\n

Taking the summation limit

w =  \lim_(0 \to 400) \sum [500+6x_i]\delta x\n \delta w = f(x) \delta x\n

we can take the integration of both sides where x will the range from 0 to 400.

\int \delta w = \int f(x) dx\n\int\limits^(400)_0{(500+6x)} \, dx \nw=[500x+3x^2]_0^4^0^0\nw=500(400-0)+ 3(400^2-0^2)\nw= 680000\nw=6.8*10^5 ft-lb

From the calculations above, the work done is 6.8*10^5 ft-lb

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Answer:

8.2 *10^5 ft lb

Step-by-step explanation:

Wcoal = 800*500  = 400000 = 4*10^5 ft lb

Wrope =\int\limits^(400)_0 {6(400-y)} \, dy

Using a right Riemann sum

The width of the entireregion to be estimated = 400 - 0 = 400

Considering 8 equal subdivisions, then the width of each rectangular division is 400/8 = 50

F(x) = 6(400-y)

\left[\begin{array}{cccccccccc}x&0&50&100&150&200&250&300&350 &400\nf(x)&2400&2100&1800&1500&1200&900&600&300&0\end{array}\right]

Wrope = 50(2100) + 50(1800) + 50(1500) + 50(1200) + 50(900) + 50(600)

+ 50(300) + 50(0) = 420000 = 4.2 * 10^5 ft lb

Note: Riemann sum is an approximation, so may not give a accurate value

work done =  Wcoal + Wrope= 4*10^5+ 4.2 * 10^5 = 8.2 *10^5 ft lb