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Sveta_85 [38]
3 years ago
8

What is the factored form of 2x2 + x-3?

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

Answer:

Step-by-step explanation:

a = 2, b = 1, c = -3

We need to factor this by finding the product of a and c, then from there find which factors of a * c will either add or subtract to give us b.

a * c = 6  and the factors of 6 and 1 and 6, 2 and 3.  Well, 6 - 1 doesn't equal 1 and neither does 6 + 1.  So our factors are 3 and 2.  In order to combine those to get a 1 (our b), we will subtract 2 from 3 since 3 - 2 = 1.  That means that 3 is positive and 2 is negative.  Filling in the formula with 3 and 2 in place of 1 looks like this (always remember to put the absolute value of the largest number first):

2x^2+3x-2x-3=0

Group the first 2 terms together and the second 2 term together in order to factor:

(2x^2+3x)-(2x-3)=0 and factor out what's common in each set of parenthesis.

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

Notice that when we factor out a -1 from the second set of parenthesis, we can distribute it back in to get the equation we started with.  We know that factoring by grouping "works" if what is inside both sets of parenthesis is exactly the same.  Ours are identical: (2x + 3).  That is common now, and can be factored out:

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

That matches your first choice

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70% of a number is 98.
Anni [7]
Set up the proportion:
70% - 98
90% - x

\frac{70\%}{90\%}=\frac{98}{x} \\
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\frac{7}{9}x=98 \\
x=98 \times \frac{9}{7} \\
x=14 \times 9 \\
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2 years ago
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Step-by-step explanation:

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3. x: (-10, 8) y: (10, -8)

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3 years ago
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Answer:

4.0541

Step-by-step explanation:

I don't know if this is correct but this is what I got.

You would take the error and divide it by the theoretical value and then multiply that by 100.

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8 0
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A home-made baseball diamond is in the shape of a square. The distance from base to base is 80 feet because of space constraints
Lelu [443]
Call x the distance from home plate to second base.

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