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yan [13]
3 years ago
11

The product of the roots of the equation x2 + x=2 is: 0-2 01

Mathematics
1 answer:
gregori [183]3 years ago
5 0

Answer:

-2

Step-by-step explanation:

x^2 + x=2

Subtract 2 from each side

x^2 + x-2=2-2

x^2 + x-2=0

Factor

What 2 numbers multiply to -2 and add to 1

2*-1 = -2

2+-1 =1

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

Using the zero product property

x-1 = 0  x+2 = 0

x=1        x = -2

Product of the roots

1*-2 = -2

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The expression (picture) represents the sum of the first 200 multiples of 3. What is the sum of the first 200 multiples of 3?
max2010maxim [7]

Answer:

Option B. 60300

Step-by-step explanation:

The given expression \sum_{n=1}^{200}(3n) represents an arithmetic sequence. [3, 6, 9, 12,..............]

In this sequence first term a = 3

common difference d = 3

and number of terms n = 200

We have to find the sum of first 200 terms of this sequence.

Formula of the sum of an arithmetic sequence is =\frac{n}{2}[2a+(n-1)d]

Now we put the values in the formula

\sum_{n=1}^{200}(3n)=\frac{200}{2}[2(3)+(200-1)(3)]

= 100[6+(199)(3)]=100[6+597]

= 100(603)

= 60300

Therefore option B. 60300 is the answer.

4 0
3 years ago
Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many
Lerok [7]

Answer:

25/4 laps or (6.25 laps)

Step-by-step explanation:

1 lap = 1 1/5 miles

kellyn plans to jog 7 1/2 miles

                                                      1  lap

number of laps = 7 1/2 miles x  --------------   = 25/4 laps or (6.25 laps)

                                                    1 1/5 miles

4 0
4 years ago
Monica is making 2 loaves of banana bread she needs 3/4 cup of sugar for each lot. Her measuring cup can only hold 1/4 cup of su
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3 years ago
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Answer:

area of a deck

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7 0
2 years ago
Is 1044 divisible by 2,3,5,6,9 or 10
Travka [436]
1044 is divisible by 2 as it is an even number
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Divisible by 6, 1044/6= 174
Divisible by 9, 1044 /9 gives 116
Not divisible by 10 because it does not end in 0
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3 years ago
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