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Nostrana [21]
3 years ago
7

The solution to the equation 2x^2+x-1=2

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

x=-\frac{3}{2}, x=1

Step-by-step explanation:

2x^2+x-1=2

Subtract 2 from both sides and factor:

2x^2+x-1=2\\2x^2+x-3=0\\(2x+3)(x-1)=0

Solve each factor individually:

2x+3=0\\2x=-3\\x=-\frac{3}{2}

x-1=0\\x=1

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A diagram of a lot of land the scale on the diagram is 1 cm represents 2.5 yards what is the area of the actual lot of land
netineya [11]

In order to determine the area of the lot of land in squared yards, proceed as follow:

Convert the dimensions of the rectangle to yards, by using the given conversion factor:

\begin{gathered} 7\operatorname{cm}\cdot\frac{2.5yd}{1\operatorname{cm}}=17.5yd \\ 15\operatorname{cm}\cdot\frac{2.5yd}{1\operatorname{cm}}=37.5yd \end{gathered}

Next, consider that the area of the lot is the area of a rectangle. Replace the previous values of the length and the width of the rectangle:

A=(17.5yd)(37.5yd)=656.25yd^2

Hence, the area of the lot of land is 656.25 sq yd

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1 year ago
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saul85 [17]

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Step-by-step explanation:

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2 years ago
Solve for v.<br><br> 9v – v = 8
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3 years ago
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In one year, three awards (research, teaching, and service) are given to a class of 25 graduate students in a statistics departm
allochka39001 [22]

Answer:

13,800

Step-by-step explanation:

This is a permutation, not a combination, because order matters.

Here's why:

Arbitrarily, let's say that the three students chosen for the award are Abby, Bob, and Charlie. The order of which each award is given to the three of them matters, because otherwise they would be receiving different awards. For example, if Abby gets the research award, Bob gets the teaching award, and Charlie gets the service award, this would be notably different than if Abby got the teaching award, Bob got the service award, and Charlie got the research award.

Therefore, for the first award, we have 25 people to choose from. After we select that person, we have 24 people to choose from, since the problem stipulates that each student can receive at most one award. Then 23, and so on.

Since we're choosing three people to give awards to, there are:

25\cdot 24\cdot 23=\boxed{13,800} permutations. Because order matters (refer to explanation above), this is our final answer.

3 0
3 years ago
0.5 kilograms is equal to how many grams
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Answer:

500 grams.

Step-by-step explanation:

1kg = 1000grams.

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2 years ago
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