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3 years ago

Use the quadratic formula to solve for x.

Mathematics

1 answer:

ivann1987 [24]3 years ago

5 0

Answer:

x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3

Step-by-step explanation:

Solve for x:

6 x^2 - 4 x = 1

Divide both sides by 6:

x^2 - (2 x)/3 = 1/6

Add 1/9 to both sides:

x^2 - (2 x)/3 + 1/9 = 5/18

Write the left hand side as a square:

(x - 1/3)^2 = 5/18

Take the square root of both sides:

x - 1/3 = sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3

Add 1/3 to both sides:

x = 1/3 + sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3

Add 1/3 to both sides:

Answer: x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3

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Choose the statement below that correctly compares the numbers 2.34 and 2.43.

HACTEHA [7]

Answer:

the answer is 2.34<2.43

Step-by-step explanation:

it is because 2.34 is less than 2.43

< means less than

> means greater than

= means equal to

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3 years ago

Which of the following is a polynomial A.x^2+2 B.(x^8-2)/(x^-2+3) C. 7x^7-2x^-4+3 D.x^x-1

EastWind [94]

A. x²+2 - a polynomial
B.(x⁸-2)/(x⁻²+3) rational function
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D.x^x-1 (x is an exponent it cannot be a polynomial)

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3 years ago

A rectangle has vertices E(-4, 8), F(2, 8), G(2, -2) and H(-4, -2). The rectangle is dilated with the origin as the center of di

Marizza181 [45]

Answer:

The dilation on any point of the rectangle is $P'(x,y) = \frac{5}{2}\cdot P(x,y)$ .

Step-by-step explanation:

From Linear Algebra, we define the dilation of a point by means of the following definition:

$G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)]$ (1)

Where:

$G(x,y)$ - Coordinates of the point G, dimensionless.

$O(x,y)$ - Center of dilation, dimensionless.

$k$ - Scale factor, dimensionless.

$G'(x,y)$ - Coordinates of the point G', dimensionless.

If we know that $O(x,y) = (0,0)$ , $G(x,y) =(2,-2)$ and $G'(x,y) =(5,-5)$ , then scale factor is:

$(5,-5) = (0,0) +k\cdot [(2,-2)-(0,0)]$

$(5,-5) = (2\cdot k, -2\cdot k)$

$k = \frac{5}{2}$

The dilation on any point of the rectangle is:

$P'(x,y) = (0,0) + \frac{5}{2}\cdot [P(x,y)-(0,0)]$

$P'(x,y) = \frac{5}{2}\cdot P(x,y)$ (2)

The dilation on any point of the rectangle is $P'(x,y) = \frac{5}{2}\cdot P(x,y)$ .

5 0

3 years ago

3-2y+(-8y)+8.5 Simplify your answer. Use interfere or decimals for any number expressions

Nataly_w [17]

Im pretty sure it’s 11.5 - 16y

8 0

3 years ago

Need immediate help!!

stepladder [879]

"At least 13 years" means more or equal 13,
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3 years ago

Read 2 more answers