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1 year ago

I need help A. B. C. D.

Mathematics

2 answers:

koban [17]1 year ago

5 0

Answer:

$x \leqslant 3$

Third answer is correct.

Step-by-step explanation:

$2(4 + 2x) \geqslant 5x + 5 \\ 8 + 4x \geqslant 5x + 5 \\ 8 - 5 \geqslant 5x - 4x \\ = 3 \geqslant x$

hope this helps you

Sedaia [141]1 year ago

3 0

Answer:

$x\le 3$

Step-by-step explanation:

$2(4+2x)\ge 5x+5$

$2(4)+2(2x)\ge 5x+5$

$8+4x\ge 5x+5$

$8-5\ge 5x-4x$

$3\ge 1x$

$x\le 3$

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Use polar coordinates to find the volume of the given solid. bounded by the paraboloid z = 9 + 2x2 + 2y2 and the plane z = 15 in

mina [271]

Answer:

Z = 8 + 2x2 + 2y2

Convert to polar coordinates

Z = 8 + 2r2

Now theta will go from 0 to pi/2 because it's in the first quadrant.

R will go from 0 to the radius of the circle formed at the intersection of the plane and the paraboloid.

14 = 8 + 2r2

r = sqrt(3)

So r goes from 0 to sqrt(3).

You integrate 14-z where 0<r<sqrt(3) and 0<theta<pi/2.

It is 14-z and not z because just z would give the volume under the paraboloid.

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1 year ago

Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?

saul85 [17]

Answer:

y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)

Step-by-step explanation:

we know that

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

we have

$m=\frac{1}{2}$

$(5,1)$

substitute

$y-1=\frac{1}{2}(x-5)$

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1 year ago

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At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium dri

m_a_m_a [10]

Answer:

a) the cost of one medium drink be $3.80

b) the cost of a large popcorn be $6.25

Step-by-step explanation:

Let the cost of one medium drink be $x

and the cost of a large popcorn be $y

According to question,

A couple bought 2 medium drinks and a large popcorn for $13.85.

2x + y = 13.85 ..............(1)

A family bought 3 medium drinks and 2 large popcorn for a total of $23.90

3x + 2y = 23.90 ..............(2)

Using Elimination method to solve the system of equation,

Multiply equation (1) by 2 , we get,

4x + 2y = 27.70 ..............(3)

Now, subtract equation (2) from (3), we get,

4x + 2y-(3x + 2y) = 27.70 - 23.90

4x + 2y-3x - 2y = 3.80

4x -3x = 3.80

x = 3.80

Substitute, x = 3.8 in (1) ,

2(3.80) + y = 13.85

7.60 +y = 13.85

y = 6.25

Therefore, the cost of one medium drink be $3.80

and the cost of a large popcorn be $6.25

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The point (Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, StartFraction StartRoot 2 EndRoot Over 2 EndFraction)

Ierofanga [76]

Answer:

$\cot(x) = - 1 \: and \: \cos(x) = - \frac{ \sqrt{2} }{2}$

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The given point is :

$( - \frac{ \sqrt{2} }{2}, \frac{ \sqrt{2} }{2})$

This point is in the second quadrant.

This means:

$\cos(x) = - \frac{ \sqrt{2} }{2}, \sin(x) = \frac{ \sqrt{2} }{2})$

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$\cot(x)=\frac{ \frac{ \sqrt{2} }{2} }{ - \frac{ \sqrt{2} }{2} } = - 1$

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alexdok [17]

Answer:

U ={ Parallelograms}

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B ={ Parallelograms with four congruent angles} ={ Rectangle, Square}

So, AB= { Square}

So among all the parallelograms "Square" is the only parallelogram which has all congruent sides as well as all congruent angles.

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