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3 years ago

7. The volume in cubic feet of a box can be expressed as (x) = x3 - 6x2 + 8x, or as the

Mathematics

1 answer:

Paladinen [302]3 years ago

4 0

Answer:

Step-by-step explanation:

f(x) = x3 - 6x2 + 8x

= x(x²- 6x+8)

f(x) = x (x-2)(x-4)

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What is the width of a rectangular room with an area of 90 square feet and a length of 9 feet

ddd [48]

Answer:10 feet

Step-by-step explanation:

A=lw

90=9w

10=w

5 0

3 years ago

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Please help with this question!! I need serious help!!

asambeis [7]

Answer:

<h2>The circumference is multipled by 4.</h2>

Step-by-step explanation:

The formula of an area of a circle"

$A=\pi r^2$

The formula of a circumference of a circle:

$C=2\pi r$

The area multipled by 16:

$16A=16\pi r^2\\\\16A=\pi(4^2r^2)\\\\16A=\pi(4r)^2$

The radius has increased fourfold, therefore:

$C'=2\pi(4r)=4(2\pi r)=4C$

The circumference is multipled by 4.

You can calculate the area and check the circumference:

$r=11.6\ in\\\\A=\pi(11.6)^2=132.56\pi\\\\16A=(16)(134.56\pi)=2152.96\pi\ in^2$

Calculate the radius:

$\pi r^2=2152.96\pi$ <em>divide both sides by π</em>

$r^2=2152.96\to r=\sqrt{2152.96}\\\\r=46.4\ in$

Calculate the circumference of both circles:

$r=11.6\ in\\\\C=2\pi(11.6)=23.2\pi\ in$

$r=46.4\ in\\\\C'=2\pi(46.4)=92.8\pi\ in$

$\dfrac{C'}{C}=\dfrac{92.8\pi}{23.2\pi}=4\to C'=4C$

5 0

3 years ago

Make sure you show all work for full credit.

zysi [14]

Answer:

6 Tickets

Step-by-step explanation:

$12.00 = 1 Ticket

$94.00 = Food they bought.

$166.00= Spent total

166-94=72

$72.00= <u>6 Tickets</u>

5 0

3 years ago

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Y=-2/3x-3<br> plot it on a graph

erica [24]

Answer:

see graph

Step-by-step explanation:

x intercept -4.5

y intercept -3

slope -2/3

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3 years ago

In the figure the triangle is right triangle at *Y* and *N* is the foot of the perpendicular from *Y* to XZ. Given that XY=6 cm

IrinaVladis [17]

Answer:

3.6cm

Step-by-step explanation:

YZ = 10² - 6² = 8

sinX = 8/10 = 53.13º

cos 53.13º = XN/6

XN = 3.6cm

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3 years ago

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