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3 years ago

SUPER EASY FOR POINTS!!!!solve: x-3=3x-2

Mathematics

1 answer:

Savatey [412]3 years ago

3 0

Answer:

Polynomial equation solver

x-3=3x-2

Standard form:

−2x − 1 = 0

Factorization:

−(2x + 1) = 0

Solutions:

x = −1

= -0.5

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A parallelogram has an area of 300 square kilometers and a height of 20 kilometers. What is the length of the base?

Neko [114]

Answer: the length of the base is 15 kilometers.

Step-by-step explanation:

formula : Area of parrallelogram = Length of base x height

Given: Area of parallelogram = 300 square kilometers

height = 20 kilometers

Substituting values in the formula , we get

300 = Length of base x 20

Length of base = $\frac{300}{20}$

= 15 kilometers

Hence, the length of the base is 15 kilometers.

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3 years ago

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If you are solving y 2+2y=48 by completing the square, the next line would be

snow_tiger [21]

For this case we have the following equation:

$y ^ 2 + 2y = 48$

By completing squares we have:

Step 1:

Add $(\frac {b} {2}) ^ 2$ on both sides:

$y ^ 2 + 2y + 1 = 48 + 1$

Step 2:

We rewrite the equation:

$(y + 1) ^ 2 = 49$

Step 3:

We solve the equation:

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Solutions:

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Answer:

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3 years ago

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The nth term of a sequence is 2n2 + 1 The nth term of a different sequence is 65 - 2n2. Show that there is only 1 number that is

HACTEHA [7]

Answer:

The only common term is 33.

Step-by-step explanation:

We are given the following in the question:

Sequence 1:

$n^{th}\text{ term: } 2n^2 + 1$

Sequence 2:

$n^{th}\text{ term: } 65 - 2n^2$

Equating the two terms, we get,

$2n^2 + 1 = 65 - 2n^2\\4n^2 = 64\\\\n^2 = \dfrac{64}{4}\\\\n^2 = 16\\n = \pm 4$

Since, n cannot take a negative value, we get n = 4.

Thus, there is only 1 common term both the series have for n = 4.

Common term:

$2(4)^2+ 1 - 65-2(4)^2 = 33$

Thus, the only common term is 33.

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3 years ago