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Marat540 [252]
3 years ago
13

8. Factor 12y2 + 5y - 2 completely.

Mathematics
2 answers:
poizon [28]3 years ago
7 0

Answer:

C. (4y -1)(3y+2)

Step-by-step explanation:

12 y^2 + 5 y - 2

12 y^2 + (-3+8) y - 2

12 y^2 - 3y + 8y - 2

3y(4y-1)+2(4y-1)

(4y-1)(3y+2)

balu736 [363]3 years ago
4 0
C is the correct answer because in order to factor it completely, you need to factor by grouping it
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(03.06 MC)Solve the equation for the letter r: d = rt
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The equation for r: d = rt would be 'r equals d over t.'

How, you might ask? Well, let's consider this example:

You might already know what d = rt stands for... "Distance equals rate times time", so if you divide the two sides by 't', you would come up with r = d/t. So that would finalize as your answer for this question.
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coldgirl [10]

Answer:

7. multiply 2

8. multiply 5 (i think)

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Step-by-step explanation:

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3 years ago
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Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2 sin(z)i + y2j + xyk, S is the part of the paraboloid z = 9 − x2 −
Korolek [52]

The vector field

\vec F(x,y,z)=x^2\sin z\,\vec\imath+y^2\,\vec\jmath+xy\,\vec k

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Parameterize S by

\vec s(u,v)=x(u,v)\,\vec\imath+y(u,v)\,\vec\jmath+z(u,v)\,\vec k

where

\begin{cases}x(u,v)=u\cos v\\y(u,v)=u\sin v\\z(u,v)=(9-u^2)\end{cases}

with 0\le u\le3 and 0\le v\le2\pi.

Take the normal vector to S to be

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\displaystyle\int_{\partial S}\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S

=\displaystyle\int_0^{2\pi}\int_0^3(\nabla\times\vec F)(\vec s(u,v))\cdot\left(\dfrac{\partial\vec s}{\partial u}\times\dfrac{\partial\vec s}{\partial v}\right)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^3u^3(2u\cos^3v\sin(u^2-9)+\cos^3v\sin v+2u\sin^3v+\cos v\sin^3v)\,\mathrm du\,\mathrm dv

which has a value of 0, since each component integral is 0:

\displaystyle\int_0^{2\pi}\cos^3v\,\mathrm dv=0

\displaystyle\int_0^{2\pi}\sin v\cos^3v\,\mathrm dv=0

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4 0
3 years ago
HELP<br> Find the resulting vector matrix of this matrix multiplication.
NISA [10]

Answer:

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Step-by-step explanation:

It is given a matrix multiplication,

<u>To find the value of a and b </u>

It is given that,

| 6  -5 |  *  | -1 |    =   | a |

|-3   4 |     |  3 |         | b |

We can write,  

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b = (-3 * -1) + (4 * 3)

 = 3 + 12

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Therefore the value of  a = -21 and b = 15

4 0
3 years ago
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