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3 years ago

I need help fast please answer!

Mathematics

1 answer:

frez [133]3 years ago

3 0

Answer:

Step-by-step explanation:

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Solve the rational equation (3x^2+1)/(x-1) + x =4 + 4/(x-1)

natita [175]

Answer:

The answer to your question is letter D

Step-by-step explanation:

Rational equation

$\frac{3x^{2} + 1}{x - 1} + x = 4 + \frac{4}{x - 1}$

Simplify

$\frac{3x^{2} + 1 + x(x - 1)}{x - 1} = \frac{4(x - 1) + 4}{x - 1}$

Cancel the denominators and expand

3x² + 1 + x² - x = 4x - 4 + 4

Simplify

4x² - x + 1 - 4x = 0

4x² - 5x + 1 = 0

Factor

4x² - 4x - 1x + 1 = 0

4x(x - 1) - 1(x - 1) = 0

(4x - 1)(x - 1) = 0

x₁ = 1/4 x₂ = 1

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3 years ago

When Sophia runs the 400 meter dash, her finishing times are normally distributed with a mean of 75 seconds and a standard devia

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4 years ago

Please I don’t understand I need help thank you

kirza4 [7]

Answer:

Step-by-step explanation:

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3 years ago

Rick is buying a t-shirt and a sweater.The sweater costs 3 times as much as the t-shirt.The cost of the sweater is 27$. How much

Sergio039 [100]

Answer:

Step-by-step explanation:

The way you undo multiplication is division. If the sweater costs 27$, you divide that by 3 to get a third of the cost.

6 0

3 years ago

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What is the radius of a circle given by the equation x2 + y2 – 2x + 8y – 47= 0? radius = units

il63 [147K]

ANSWER

The radius is 8

EXPLANATION

We were given,

${x}^{2} + {y}^{2} - 2x + 8y - 47 = 0$

We rewrite the above equation to obtain,

${x}^{2} - 2x \: \: \: \: + {y}^{2} + 8y \: \: \: \: = 47$

We now add half the square of the coefficient of
$x \: and \: y$
to both sides of the equation to get,

${x}^{2} - 2x + ( - 1) ^{2} + {y}^{2} + 8y + {(4)}^{2} = 47 + ( - 1) ^{2} + {4}^{2}$

We now got two perfect squares on the left hand side of the equation,

$(x - 1)^{2} + {(y + 4)}^{2} = 47 + 1 + 16$

$(x - 1)^{2} + {(y + 4)}^{2} =64$

$(x - 1)^{2} + {(y + 4)}^{2} = {8}^{2}$

By comparing to the general formula of the circle,

${(x - a)}^{2} + {(y - b)}^{2} = {r}^{2}$

We can see that the radius is 8.

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3 years ago

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