Consider the expression 2 6
3
··5 2 127
4
··15 2 1 2
1
··5 .
a. Estimate the value of the expression. Show your work.

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{9000})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{3000}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3000}-\stackrel{y1}{9000}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{ -6000 }{ 2 } \implies - 3000[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9000}=\stackrel{m}{- 3000}(x-\stackrel{x_1}{2}) \\\\\\ y-9000=-3000x+6000\implies {\Large \begin{array}{llll} y=-3000x+15000 \end{array}}[/tex]

Answer:

y = 2x + 4/5

Step-by-step explanation:

Slope-intercept form is written as:

y = mx + b, where (x,y) is a point on the line, m is the slope, and b is the y-intercept.

To get 10x - 5y = -4 into the form y = mx + b, you'll first want to get y by itself. You can start by subtracting 10x from both sides.

10x - 5y = -4

-5y = -10x - 4

As you can see, y still has a coefficient of -5 in front of it, so we'll have to divide the entire equation by -5 (you have to divide each term individually).

-5y = -10x - 4

y = 2x + 4/5

Slope-intercept form is: y = mx + b

where m is the slope and b is the y-intercept.

Since you're told the slope is 1/8 and the y-intercept is -7, you just plug those into the form:

    y = 1/8 x - 7

Note that the "–" in front of the 7 is already part of the answer on paper, so you don't need to add a second one.

Let's consider an exponential decay function.

As an example, let's look at [tex]f(\text{x}) = 100(0.5)^{\text{x}}[/tex]

Here is a table of selected values:

[tex]\begin{array}{|c|c|} \cline{1-2}\text{x} & \text{f(x)}\\\cline{1-2}0 & 100\\\cline{1-2}1 & 50\\\cline{1-2}2 & 25\\\cline{1-2}3 & 12.5\\\cline{1-2}4 & 6.25\\\cline{1-2}5 & 3.125\\\cline{1-2}6 & 1.5625\\\cline{1-2}\end{array}[/tex]

As x gets bigger, y = f(x) is slowly approaching y = 0. It will never get to this exact value because we keep taking half of the previous y value (eg: we go from y = 25 to y = 12.5); there's no way to arrive at zero through this continuous halving process. If x/2 = 0, then x itself must be 0. But we started off with a nonzero value.

Visually, the curve is slowly approaching the x-axis. We say that the horizontal asymptote is y = 0 which is directly overlapping the x-axis. Think of the asymptote as an electric fence you can get closer to but not actually touch.

See the graph below. I used Desmos to create the graph.

Answer:

31

Step-by-step explanation:

20 x 155= 3100

3100/100 = 31

slope intercept form is: y = mx + b

where: m = slope and b = y-intercept.

slope = 5 and y-intercept = 5

y = 5x + 5

Answer:

1x+5

Step-by-step explanation:

????

Answer:

Area is measured in square units because it has two dimensions: length and width

Hello,

The sales tax for a camcorder that costs $588 would be $588 * 0.045 = $26.46. Therefore, the total price would be $588 + $26.46 = $614.46.

The answer is: $614.46

Please give this answer 5 stars and brainliest if you find it helpful.

Happy Holidays!

4/9                   or it would be 0.444444 and so on but the answer is 4/9

Answer:

A = -5/3

B = 52

C = 13

D = -2

Step-by-step explanation:

I recommend using Photomath. It both solves such math problems and also provides explanations!

Answer:

A = -5/3

B = 52

C = 13

D = -2

Answer:

Eight 6-packs

Step-by-step explanation:

6-pack of hot dogs for 5.10$

8-pack of hot dogs for 6.88$

To figure out the answer, we compare the prices:

The price of six 8-packs is $41.28 ($6.88 x 6)

The price of eight 6-packs is $40.80 ($5.10 x 8)

As we can see, the cheaper option would be to buy eight 6-packs, which is our answer.  

Answer:

Step-by-step explanation:

-1/2 + 1/3

(-3 + 2)/6

- 1/6

-3 1/5 + -6 1/2

-9 + (2+5)/10

-9 7/10

5/8 - (-2/8)

5/8 + 2/8

(5+2)/8

7/8

-9/10 - 2/5

(-9-4)/10

-13/10

6 3/5  + 2 1/5

8 + (3+1)/5

8 4/5

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1/2 + 1/3

(-3 + 2)/6

- 1/6

-3 1/5 + -6 1/2

-9 + (2+5)/10

-9 7/10

5/8 - (-2/8)

5/8 + 2/8

(5+2)/8

7/8

-9/10 - 2/5

(-9-4)/10

-13/10

6 3/5  + 2 1/5

8 + (3+1)/5

8 4/5

slope intercept form: y = mx + b where m = slope and b = y-intercept.

you know that:

m = 6

y-intercept = 6

slope intercept form: y = 6x + 6

Answer:

The given point is not on the line.

Step-by-step explanation:

3 represents x

3 represents y

1. Plug in the numbers to x and y variables

y= [tex]-\frac{2}{3}[/tex] x + 1

3= [tex]-\frac{2}{3}[/tex] (3) + 1

2. Cancel out the greatest common factor

3=-2+1

3. Solve

3=-1

If the numbers do not equal each other, then the equality is false.

Step-by-step explanation: 1. Plug in the numbers to x and y variablesy=  x + 13=  (3) + 1

2. Cancel out the greatest common factor 3=-2+13. Solve3=-1

Answer: +80°C or -20°C

Step-by-step explanation:

This is the answer because if you add 80 then it will equal 100°C and freeze and if 20°C is taken away it will equal 0°C and freeze.

Answer: y = 9x+ 8

Step-by-step explanation:

The slope intercept form is y=mx+b

m = slope

b = y-intercept (0, 8)

Answer:

B

Step-by-step explanation:

a angle is not the same thing as a triangle and so therefore the lines at the end do not need to be connected.

-26 Is the answer.

____________________

First you have to do: 10 - 11 = -1

Then its -1 - 12 or -1 + -12 (same thing) = -13

After that, do -13 + -13 = -26.

Step-by-step explanation:

the rate of change or slope is the factor of x, when we have the function in the form y = ...

so, it is 2.

that means y changes by 2 whenever x changes by 1.

Answer:x =4/5

Step-by-step explanation:

{3}{4}x=-3+3x

Answer:

(-7.8)^5 or approx. -28871.74368

Step-by-step explanation:

9 - 4 = 5

(-7.8)^5 = approx. -28871.74368

Answer:

[tex]C = 0.10n[/tex]

Step-by-step explanation:

If you study the graph you will see that there is no cost for producing zero gadgets. Cost = $0

For 100 gadgets the cost is $10

For 200 gadgets the cost is $20

etc

So the cost in $ is 1/10 times the number of gadgets

For 1 gadget, it costs [tex]\$\dfrac{1}{10}[/tex] or $0.10

For n gadgets it should cost $[tex]0.1n[/tex] same as [tex]\$\dfrac{n}{10}[/tex]

Mathematically speaking the graph represents the equation of a straight line which is of the form

y = mx + b

where y represents the vertical axis and x the horizontal axis

The variable m represents the slope of the line which is the increase of y for every unit increase in x.

The slope, m can be determined by using the formula [tex]\displaystyle \dfrac{y2-y1}{x2-x1}[/tex] where x1, y1 and x2, y2 are two points on the graph

This is also called rise/run

b is called the y-intercept and it represents the value of y where the line crosses the vertical axis

The difference here is that instead of y, we are using C as the variable for the vertical(y) axis and n as the variable for the horizontal(x) axis

So we get the modified equation as
C = m·n + b

We can see that when n = 0, C = 0 so b = 0 because the vertical intercept is zero

To calculate m, take any two points on the line

I choose (0, 0) and (100,10)

[tex]\rm Slope \;m = \dfrac{10-0}{100-0} = \dfrac{10}{100} = \dfrac{1}{10} = 0.10\\\\[/tex]

This means that for every gadget produced the cost will increase by $0.10

The equation becomes C = 0.10n + b and since b is 0 we get

[tex]C = 0.10n[/tex]

Answer:

Step-by-step explanation:

1. False

2. True

3. True

4. False

Answer:

1. false

2. true

3. false

4. false

Step-by-step explanation:

Answer:

  y = 7x +10

Step-by-step explanation:

Given a y-intercept of 10 and a slope of 7, you want the equation of the line in slope-intercept form.

The slope-intercept form equation of a line is ...

  y = mx +b . . . . . . . where m is the slope, and b is the y-intercept

You are given a slope of 7 (m=7) and a y-intercept of 10 (b=10), so the equation is ...

  y = 7x +10

Answer: x < -1

Step-by-step explanation:            Simplify   3/4

3                        

 ((— • (-8x - 4)) -  2x) -  5  > 0

   4                        3.1     Pull out like factors :

  -8x - 4  =   -4 • (2x + 1)

 (-3 • (2x + 1) -  2x) -  5  > 0
5.1     Pull out like factors :

  -8x - 8  =   -8 • (x + 1)

Answer:

[tex]y = \boxed{5}x + \boxed{9}[/tex]

Step-by-step explanation:

Answer:

10

Step-by-step explanation: