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igor_vitrenko [27]
3 years ago
7

Mel makes and sells pet treats at a local pet fair. He earns $6.25 for each bag of treats he sells. He wants to sell enough trea

ts to buy a doghouse for $240. A. Write an equation that represents the number of bags of treats Mel must sell to earn $240. B. Solve the equation. Be sure to show your work. C. Evaluate the reasonableness of your answer and write a sentence that explains the number of bags of dog treats Mel must sell.
Mathematics
1 answer:
Law Incorporation [45]3 years ago
5 0

Answer:

A.)  

240/6.25=d

B.)

Mel would have to sell 39 bags

This is because if we divide 240 by 6.25 we get 38.4

We can not sell .4 bags, so we have to round up

So we have to sell 39 bags

Mel will also have 3.75 dollars left over

C.)

My answer is reasonable. Mel will have to sell 39 bags of dog treats. Since he wants to get 240 dollars, then he must earn 240 dollars. He earns 6.25 per bag. So you need to find out how many bags he needs to sell. To do this, you divide the amount of dollars by the amount you are selling the bags for. So 240 divided by 6.25. To check, you could times 6.25 by 39 and make sure that it i over 240 dollars.

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               \rule{50}{1}\large\blue\textsf{\textbf{\underline{Given question:-}}}\rule{50}{1}

           <em>What is the value of c in the quadratic </em>\large\text{$x^2+28=-11x$}?

          \rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

           Before starting to solve, you should notice something - the

quadratic is not in its standard form!

We can easily fix it by adding \large\textit{11x} on both sides:-

\large\text{$x^2+28-11x=0$}

We can switch the order of 28 and -11x:-

\large\text{$x^2-11x+28=0$}

  Now, the quadratic is in its standard form, so we can get down to

finding the value of "c".

Remember, the standard form of a quadratic looks like so:-

  •  \large\text{$ax^2+bx+c=0$}

Now we can just write our <u>quadratic</u> here:-

  • \large\text{$x^2-11x+28=0$}

Now, can you see what the value of "c" is?

An easy way to <u>remember</u> "c" in quadratics is:-

The "c" in quadratics is the constant.

   

Henceforth, we conclude that the value of "c" in the given quadratic is:-

 \Large\textbf{28}\Large\checkmark

<h3>         Good luck with your studies.</h3>

        \rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}    

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Answer:

False

Step-by-step explanation:

A nonlinear function that can be written on the standard form

ax2+bx+c,wherea≠0

is called a quadratic function.

All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is

y=x2

picture51

The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate

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The y-coordinate of the vertex is the maximum or minimum value of the function.

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picture52

a < 0                    parabola opens down              maximum value

picture53

A rule of thumb reminds us that when we have a positive symbol before x2 we get a happy expression on the graph and a negative symbol renders a sad expression.

The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation

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picture54

When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.

Example

Graph

x=x2+2x+1

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x y = x2 + 2x + 1

-3 4

-2 1

-1 0

0 1

1 4

2 9

3 16

Graph the points and draw a smooth line through the points and extend it in both directions

picture55

Notice that we have a minimum point which was indicated by a positive a value (a = 1). The vertex has the coordinates (-1, 0)  which is what you will get if you use the formula for the x-coordinate of the vertex

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and that the line has an y-intercept of (0, 1) which could have been determined from the c-value which is 1.

If you have an absolute value of a that is greater than 1 the parabola will be narrower than the parental quadratic function. And the opposite that if you have a absolute value of a that is less than 1 then the parabola will be wider than the parental quadratic function.

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