A grocery worker is checking for broken eggs in egg cartons. Each carton of eggs contains 12 eggs. He checks 4 cartons and finds 8 broken eggs. Based on these results, what can the worker predict about the rest of the cartons of eggs?

Step-by-step explanation:

In the given problem, there are two plans that can be represented with a linear function.

A = total monthly cost of Plan A for every x number of movies that Sadie watches per month

Slope: $3 = The additional cost for every x number of movies watched per month

Y-intercept: $21 = The monthly cost of Plan A  

Combining these elements together, we can establish the following linear function: A(x) = 3x + 21

B = total monthly cost of Plan B for every x number of movies that Sadie watches per month

Slope: $1.50 = The additional cost for every x number of movies watched per month

Y-intercept: $27 = The monthly cost of Plan B    

Combining these elements together, we can establish the following linear function: B(x) = 1.5x + 27  or  [tex]\displaystyle\mathsf{B(x)\:=\:\frac{3}{2}x\:+\:27}[/tex].

In order to graph Plan A, start with plotting the y-intercept, (0, 21). The y-intercept is the point on the graph where it crosses the y-axis. Then, use the slope, m = 3 (rise 3, run 1), to plot the other points on the graph.

Similarly for Plan B, start with plotting the y-intercept, (0, 27).

Then, use the   [tex]\displaystyle\mathsf{slope (m)\:=\:1.5\:or\:\frac{3}{2}}[/tex]  (rise 3, run 2), to plot the other points on the graph.

Attached is the graphed linear functions, A(x) and B(x). The two lines intersect at point, (4, 33), which means that the total cost of Plans A and B will be the same at $33.

The attached graph also shows that when 0 ≤ x < 4, Plan A is cheaper than Plan B.  The interval notation is: [0, 4).

This implies that when Sadie watches 0 - 4 movies per month, she will pay lesser in Plan A than Plan B.          

Answer:

2. a & c

3. a, b & c

Step-by-step explanation:

Substitute each solutions to the question to see if you get the answer

a. 5(2)-0=10 -- so (2,0) is the solution

b. 5(3)-0=15 -- (3,0) is not the solution

c. 5(0)-(-10)=10 -- (0,-10) is the solution

d. 5(1)-(1)=4 -- (1,1) is not the solution

a. -(-4)+ 6(1) = 10 -- so (-4,1) is the solution

b. -(-22)+ 6(-2) = 10 -- so (-22,-2) is the solution

c. -(2)+ 6(2) = 10 -- so (2,2) is the solution

d. -(10)+ 6(0) = - 10 -- so (10,0) is not the solution

Answer:

1.05678988E31

Step-by-step explanation:

Answer:

He caught 13 squirtles

Step-by-step explanation:

104/8 = 13 squirtles

Squirtles divided by pidgeys

Step-by-step explanation:

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Answer:

:(((((((

Step-by-step explanation: sorry i dont know

Answer:

Step-by-step explanation:

Conclusion:

Therefore, Step 3 includes the mistake.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

y-9 = -4(x+2)

Step-by-step explanation:

-

Hope that helps

Hi,

[tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]

a)

[tex]\frac{x^{7} }{x^{3} }= x^{7-3} = x^{4}[/tex]

b)

[tex]\frac{y^{5} }{y^{4} } = y^{5-4} = y^{1} = y[/tex]

;)

Answer:

Alex walked more

Step-by-step explanation:

Jenna: 12/5= 2.4

alex: 15/6=2.5

Answer:

4 is the correct answer

Step-by-step explanation:

|-7| = 7

|3| = 3

7 - 3 = 4

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Answer:

-10x+7.5

Step-by-step explanation:

Answer:

57/10,000

Step-by-step explanation:

9/11% = 0.57% = 0.0057  

57/10,000

For the 1st equation,

Answer:

A. 2x + y = 20

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

10$

Step-by-step explanation:

dollars hope it helps

Answer:

its 10$

Step-by-step explanation:

Answer:

That is very true and should be added

Answer:

We can make 3 whole groups of 2.

Hope that helps. x

Step-by-step explanation:

2, 4, 6, 8

The closest number near to 7 is 6 so we do 6 divided by 2 which equals 3.

Answer:

[tex]y=3x-15[/tex]

Step-by-step explanation:

[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-3)}{2-4}=\frac{-6}{-2}=3[/tex]

[tex]y=3x+b[/tex]

[tex]-3=3(4)+b[/tex]

[tex]-3=12+b[/tex]

[tex]-15=b[/tex]

[tex]y=3x-15[/tex]

[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-3),~\text{and}~ (x_2,y_2) = (2,-9)\\\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-9+3}{2-4} = \dfrac{-6}{-2} = 3\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-3) = 3(x-4)\\\\\implies y+3 = 3x -12\\\\\implies y = 3x -12 -3 \\\\\implies y = 3x -15\\\\\textbf{This is the slope - intercept form(y = mx +b), where m =3 and b =-15.}[/tex]

Answer:

1.34

Step-by-step explanation:

Used a Calculator

Answer:

1.34

Step-by-step explanation:

4.69/3.5

=1.34

[tex]\ln 2 + \ln x = 5\\\\\implies \ln(2x) = 5\\\\\implies 2x = e^5\\\\\implies x = \dfrac{e^5}2 = 74.207[/tex]

Answer:

slope = 2

Step-by-step explanation:

Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:

(-2, -1) and (0, 3)

Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a rise of 4. The x went from -2 to 0, so that is a run of 2. "rise over run" means rise literally over run in a fraction like this:

[tex]m=\frac{rise}{run}[/tex]

The more proper way to calculate slope looks like this, but it's really the same thing in the end:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

where (x1, y1) and (x2, y2) are your 2 points.

Finally, the slope of this line is:

[tex]m=\frac{3--1}{0--2}\\\\m=\frac{4}{2}\\\\m=2[/tex]

That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.

Answer:

₹1680

Step-by-step explanation:

Road  Length (m)  Width (m)   Area ([tex]m^{2}[/tex])

  1            80              10              800

  2           60              10               600

(800+600) = 1400 ([tex]m^{2}[/tex])

1400 ([tex]m^{2}[/tex])*(₹ 1.20/m) = ₹1680

Answer:

A. trust me I did it and got 100

Answer:

D

since all the other 1st elements (Domains) of each ordered pairs are repeated in all options except D they are not functions.

In conclusion, a function is defined as a set of ordered pairs with wich each element of the domain has one unique y value.

Answer: I think it might be negative

Step-by-step explanation:

Answer: Both of the Givens go in the left top boxes, and then in the right top boxes you would put B is the midpoint of AD and CE and then AC is equal to DE. In the third and fourth boxes on the left, you would put CB = EB and then AB is equal to DB. In the third and fourth boxes on the right you put both of the Def. of Midpoints. Then, in the last box to the left, you would put triangle ABC = DBE. In the final box to the right you would put Side-Side-Side Congruency.

Step-by-step explanation:

1) ac≅de, given

2) b is the midpoint, given

3) ab≅db, defn midpoint

4) cb≅eb, defn midpoint

5) abc≅dbe, side side side