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4 years ago

6. 7 ≥ - 0. 2 x + 4. 5 solve the inequality

Mathematics

2 answers:

labwork [276]4 years ago

7 0

Answer:

-11≤x

Step-by-step explanation:

Given

6.7 ≥ -0.2x +4.5----------------collect like terms

6.7-4.5 ≥ -0.2x--------------divide by -0.2 both sides

2.2/-0.2 ≥ -0.2/-0.2x-------------------reverse the sign

-11 ≤ x

Alekssandra [29.7K]4 years ago

5 0

For this case we have the following inequality:

$6.7\geq 0.2x + 4.5$

Subtracting 4.5 from both sides of the inequality:

$6.7-4.5\geq -0.2x\\2.2\geq -0.2x$

Dividing between 0.2 on both sides:

$\frac {2.2} {0.2} \geq-x\\11 \geq-x$

We multiply by -1 on both sides, taking into account that the sense of inequality changes:

$-11 \leq x$

ANswer:

$x \geq-11$

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4 years ago

Let f(x,y,z) = ztan-1(y2) i + z3ln(x2 + 1) j + z k. find the flux of f across the part of the paraboloid x2 + y2 + z = 3 that li

Sophie [7]

Consider the closed region $V$ bounded simultaneously by the paraboloid and plane, jointly denoted $S$ . By the divergence theorem,

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And since we have

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the volume integral will be much easier to compute. Converting to cylindrical coordinates, we have

$\displaystyle\iiint_V\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\iiint_V\mathrm dV$
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Then the integral over the paraboloid would be the difference of the integral over the total surface and the integral over the disk. Denoting the disk by $D$ , we have

$\displaystyle\iint_{S-D}\mathbf f\cdot\mathrm dS=\frac\pi2-\iint_D\mathbf f\cdot\mathrm dS$

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6 0

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goblinko [34]

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hope this will help you

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3 years ago

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irakobra [83]

Yes! This is because -150/10 can be simplified to be -15, which is a rational number.

The word “rational” sounds like another math word you’ve heard of before. Do you know what it is?

Well, it’s “ratio”!! Ratios can be seen in the forms x:y and x/y.

ANY RATIONAL NUMBER HAS THE ABILITY TO BE WRITTEN AS A RATIO!! This will completely exclude numbers with super long decimal points (ex: 1.2345678809928374737272828...)

This number also meets the requirements of being an integer. An integer is any whole number (this excludes decimals and fractions)

I know it’s written as a fraction. However, the fraction could be simplified, making it -15, which means this is both a rational number and an integer!!

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3 years ago