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3 years ago

8 over 2x minus 4 over x squared

Mathematics

1 answer:

LuckyWell [14K]3 years ago

6 0

Answer:

4x-4/x^2

Step-by-step explanation:

So we can first write out the equation.

It would be:

8/2x-4/x^2

First we can get a common denominator:

8/2x*x^2/x^2=8x^2/2x^3

and

4/x^2*2x/2x=8x/2x^3

Now we have

8x^2/2x^3-8x/2x^3

8x^2-8x/2x^3

We can divide everything by x

8x-8/2x^2

divide everything by 2

4x-4/x^2

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The Opera House sells an average of 1,700 tickets per night when the price of each ticket is $25. An employee of the Opera House

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2900•$19=$55,100 revenue

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2 years ago

George bought 3 3/10 of fabric for an art project at $2.27 per yard . What was the total cost of the fabric?

Kipish [7]

3 3/10 x $2.27 = $7.49 total cost of the fabric

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3 years ago

Find the surface area of the prism

AfilCa [17]

Answer:

156 $in^2$

Step-by-step explanation:

find the areas of all the faces and add them up

area of a rectangle: $bh$

area of a trapezoid: $\frac{1}{2} (b_1 + b_2)(h)$

$(5*3)+(6*3)+(5*3)+(3*12)+2(\frac{1}{2}*(6+12)*4) \\=15+18+15+36+2(\frac{1}{2}*18*4)\\=84+2(36)\\=156$

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4 0

2 years ago

What does h(3.2) represent?

marshall27 [118]

Answer:

the height of the rock 3.2 seconds after it is propelled

Step-by-step explanation:

<u><em>The complete question is</em></u>

The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot

Let

t------> the time in seconds

h----> the the height of a rock after it is propelled by a slingshot in meters

we know that

$h(t)=-16t^{2} +28t+500$

For $x=3.2\ sec$

Find the value of h(t)

$h(3.2)=-16(3.2)^{2} +28(3.2)+500=425.76\ meters$

therefore

h(3.2) represent the height of the rock $3.2$ seconds after it is propelled

see the attached figure to better understand the problem

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2 years ago

Mozart's Music Store rents trombones for $34 a month. Bach's Music Store rents trombones for $30 per month plus a yearly fee of

jeka94

Answer:

Step-by-step explanation:

Let $M(x)$ be the cost of renting from Mozart's Music Store for $x$ years, and $B(x)$ be the cost of renting from Bach's Music Store for $x$ years.

From the problem statement, we can come up with the following equations:

$M(x) = 34(12x)$

$B(x) = 30(12x) + 48x$

Plugging in $x = 9$ for each equation, we can get the answer:

$M(9) = 34(12 * 9)$

$M(9) = 34(108)$

$M(9) = 3672$

$B(9) = 30(12 * 9) + 48(9)$

$B(9) = 30(108) + 432$

$B(9) = 3240 + 432$

$B(9) = 3672$

From this, we can see that the value is equal for both stores.

4 0

2 years ago