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madam [21]
3 years ago
10

A grocery store sells a bag of 5 potatoes for $2. What is the unit cost if each potato in the bag

Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0

Answer:

Unit cost: $2.50 per potato

Step-by-step explanation:

Set up a proportion:

<h2><u>5 potatoes</u> = <u>x potatoes</u></h2><h2>2 dollars         1 dollar</h2><h2 />

cross multiply:

2x = 5


divide by 2 on both sides

x= 5/2 or 2.5

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3 years ago
I have a question about polynomial division it is in the picture
Cloud [144]

To answer this question, we have to do the long division process for polynomials. We can do the operation as follows:

To do this division process, we have:

1. Divide the first term of the dividend by the first element of the divisor. They are:

\frac{-4x^3}{4x^2}=-x

2. Now, we have to multiply this result by the divisor, and the result will change its sign since we have to subtract that result from the dividend as follows:

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And since we to subtract this result from the dividend, we end up with:

-(-4x^3+4x^2+4x)=4x^3-4x^2-4x

3. Then we have the following algebraic addition:

\frac{\begin{cases}-4x^3+24x^2-15x-15 \\ 4x^3-4x^2-4x\end{cases}}{20x^2-19x-15}

4. Again, we need to divide the first term of the dividend by the first term of the divisor as follows:

\frac{20x^2}{4x^2}=5

5. And we have to multiply 5 by the divisor, and the result will be subtracted from the dividend:

5\cdot(4x^2-4x-4)=20x^2-20x-20

Since we have to subtract this from the dividend, we have:

-(20x^2-20x-20)=-20x^2+20x+20

6. And we have to add this algebraically to the dividend we got in the previous step:

\frac{\begin{cases}20x^2-19x-15 \\ -20x^2+20x+20\end{cases}}{x+5}

And this is the remainder of the division, x + 5.

As we can see from the division process, we got as:

1. The quotient: -x + 5

q=-x+5

2. The remainder: x + 5.

R=x+5

Since we have that the dividend = divisor * quotient + remainder.

Therefore, the result for this division is:

-4x^3+24x^2-15x-15=(4x^2-4x-4)\cdot(-x+5)+(x+5)

4 0
1 year ago
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Andrej [43]
Since this is not a rational function (with undetermined values in the denominator), but just a normal expression, we can just substitute t with the value toward which the function is approaching. Since this is a continuous function, it doesn't matter from which side it's approaching 0. In this case, let t=0, then sin(4t)=0, cos(4t)=1, then -2 sin^2(4t)+2tcos(4t)=0. 
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3 years ago
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velikii [3]

Answer;

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Step-by-step explanation:

80x2+92x−84=0

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7 0
3 years ago
Boston had a high temperature this year of 99º. They had a low temperature of -10°.
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Answer:

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Step-by-step explanation:

99+10=109

3 0
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