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3 years ago

Find the product of (3x − 4)(2x2 + 2x − 1).

Mathematics

2 answers:

alexira [117]3 years ago

6 0

Solve:

(3x − 4)(2x^2 + 2x − 1)

Simplify:

(3x − 4)(2x^2 + 2x − 1)

= (3x + −4)(2x^2 + 2x + −1)

= (3x)(2x^2) + (3x)(2x) + (3x)(−1) + (−4)(2x2) + (−4)(2x) + (−4)(−1)

= 6x^3 + 6x^2 − 3x − 8x^2 − 8x + 4

Answer = 6x^3 − 2x^2 − 11x + 4

Hope that helps!!!! : )

STALIN [3.7K]3 years ago

5 0

the answer to your question is -12

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A train leaves Miami at 3:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels

Anika [276]

Answer:

The first train travels at 58 mph and the second train travels at 203 mph.

Step-by-step explanation:

The first train left Miami at 3:00 PM.

The second train left Miami at 8:00 PM.

Let the speed of the first train be x.

The second train travels 145 mph faster than the first, that is 145 + x

The second train overtakes the first at 10:00 PM

This means that at 10:00 PM, they were both at the same location.

That is 7 hours after the first train left and 2 hours after the second train left.

Speed is given as:

s = d / t

where d = distance traveled and t = time taken

For the first train, after 7 hours traveling at speed x:

x = d / 7

=> d = 7x _______(1)

For the second train, after 2 hours, traveling at speed 145 + x:

145 + x= d / 2

=> d = 290 + 2x ____(2)

Equating (1) and (2):

7x = 290 + 2x

=> 7x - 2x = 290

5x = 290

=> x = 290/5 = 58 mph

Therefore, the first train travels at 58 mph and the second train travels at 203 mph (58 + 145)

4 0

3 years ago

Apply the distributive property to expand the expression.<br> 9(2+5m)

zheka24 [161]

The answer would be (18+45m) because you have to multiply the 9 to the 2 which equals 18 and then do the same for the 5m and which would be 45 because you add the variable at the end

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4 years ago

Macy has bought 812 bananas. Jake has bought 83% of Macy's bananas. Karl bought three times the amount of Jake's amount at a loc

bija089 [108]

Answer:

586 bananas

Step-by-step explanation:

Macy - 812 bananas

Jake - (812 x 0.83) = 673.96 bananas

Karl - (673.96 x 3) = 2021.88 bananas

Gary - (2021.88 x 0.29) = 586.3452 bananas. The answer gets rounded down to 586 bananas because he can't have part of a banana

6 0

3 years ago

Read 2 more answers

What two numbers give you -42 and 1 ? This is 10 points, please answer!!

liberstina [14]

$- 6 \times 7 = - 42 \\ - 6 + 7 = 1$

7 0

3 years ago

Find an equation of the tangent line to the hyperbola x2 a2 − y2 b2 = 1 at the point (x0, y0).

nalin [4]

The equation of the tangent line is $y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}$

To find the tangent to the hyperbola $\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }$ at (x₀, y₀), we differentiate the equation implicitly to find the equation of the tangent at (x₀, y₀).

So, $\frac{d}{dx} (\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }) = \frac{d0}{dx}\\\frac{d}{dx} \frac{x^{2} }{a^{2} } - \frac{d}{dx}\frac{y^{2} }{b^{2} }= 0\\\frac{2x }{a^{2} } - \frac{dy}{dx}\frac{2y }{b^{2} } = 0\\\frac{2x }{a^{2} } = \frac{dy}{dx}\frac{2y }{b^{2} } \\\frac{dy}{dx} = \frac{b^{2}x }{a^{2}y }$

So, at (x₀, y₀)

$\frac{dy}{dx} = \frac{b^{2} x_{0} }{a^{2} y_{0} }$

So, the equation of the tangent line is gotten from the standard equation of a line in point-slope form

So, $\frac{y - y_{0} }{x - x_{0} } = \frac{b^{2} x_{0} }{a^{2} y_{0} } \\y - y_{0} = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) \\y = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) + y_{0} \\y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}$

So, the equation of the tangent line is $y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}$

Learn more about equation of tangent line here:

brainly.com/question/12561220

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3 years ago