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DanielleElmas [232]
3 years ago
6

Two sets of quadratic expressions are shown below in various forms:

Mathematics
2 answers:
Elan Coil [88]3 years ago
6 0

Solution:

1. x^2 + 3 x +2= x^2 + 2 x + x + 2= x(x+2)+1(x+2)=(x+1)(x+2)\\\\ x^2 + 3 x + 2=(x+\frac{3}{2})^2-(\frac{3}{2})^2+2=(x+\frac{3}{2})^2-2.25+2=(x+\frac{3}{2})^2-0.25

2. x^2 + 5 x + 6 =x^2+ 3 x + 2 x+6=x(x+3)+2(x+3)= (x + 2)(x + 3)\\\\ x^2 + 5 x + 6 =(x+\frac{5}{2})^2-(\frac{5}{2})^2+6=(x+\frac{5}{2})^2-6.25+6=(x+\frac{5}{2})^2-0.25

Line 1:  x² + 3 x + 2= (x + 1)(x + 2)= (x + 1.5)² − 0.25 contains three equivalent expressions.

Ray Of Light [21]3 years ago
3 0
Line one is equivalent
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balandron [24]

Answer: Distance between dolphin and helicopter = 93.5 feet

Explanation:

Distance at which dolphin swimming below the ocean= (-) 18 feet

(it is represented as  the negative number as it denotes the distance below the ocean)

Distance at which helicopter is above the ocean = (+) 75.5 feet

(it is represented as the positive number as it denotes the distance above the ocean)

Distance between dolphin and helicopter = 75.5 - (-18) feet

                                                                       =   75.5 + 18 feet

                                                                       =   93.5 feet

5 0
3 years ago
I dont understand please help
DiKsa [7]

2 \frac{1}{2}+(-2\frac{1}{4})

This is equal to:

2\frac{1}{2}-2\frac{1}{4}

When you add a negative number, it turns into subtraction.

First, I would change it to mixed numbers:

\frac{5}{2}-\frac{9}{4}

Now, you need to change the denominators to make sure they are the same on both fractions. I changed the first fraction's denominator to 4 so they match. You can do this by multiplying the numerator by 2:

\frac{10}{4}-\frac{9}{4}

Now, you simply subtract:

10-9=1

1/4 is your answer.

I hope this helps :)

3 0
3 years ago
There are 132 counters in a bag. The ratio of green counters to purple
DedPeter [7]

9514 1404 393

Answer:

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Step-by-step explanation:

There are a total of 5+7=12 ratio units, so each stands for 132/12 = 11 counters. The 7 ratio units representing the purple counters stand for ...

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4 0
2 years ago
Anna and kim shared 49 jellybeans in the ratio 3:4.Howw many jellybeans did kim receive​
lina2011 [118]
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3 years ago
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hichkok12 [17]

Answer:

Convenience sampling

Step-by-step explanation:

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3 years ago
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