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3 years ago

-1/2x+1/3>3/6 solve the inequality

Mathematics

1 answer:

Anna71 [15]3 years ago

7 0

Answer:

Step-by-step explanation:

inter is 7

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A box witxh a height (x+5) cm has a square base with side x com. A second box with height (x+2) com has a square base with side

Eva8 [605]

Answer:

x=5.37 cm

Step-by-step explanation:

we know that

The volume of the box is

$V=Bh$

where

B is the area of the base of the box

h is the height of the box

we have that

The area of the base is

$B=x^2\ cm^2$

$h=(x+5)\ cm$

The volume of the Box 1

is equal to

$V_1=x^2(x+5)\ cm^3$

$V_1=(x^3+5x^2)\ cm^3$

we have that

The area of the base is

$B=(x+1)^2\ cm^2$

$h=(x+2)\ cm$

The volume of the Box 2

is equal to

$V_2=[(x+1)^2(x+2)]\ cm^3$

$V_2=[(x^2+2x+1)(x+2)]\ cm^3$

$V_2=(x^3+2x^2+x+2x^2+4x+2)\ cm^3$

$V_2=(x^3+4x^2+5x+2)\ cm^3$

Equate the equation of Volume 1 to the equation of Volume 2

$(x^3+5x^2)=(x^3+4x^2+5x+2)$

$(5x^2)=(4x^2+5x+2)$

$5x^2-4x^2-5x-2=0$

$x^2-5x-2=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is x=5.37 cm

see the attached figure

8 0

4 years ago

How do i solve for x 30x - 60 = 20x

Lena [83]

First, subtract 30x from each side to get:
-60 = -10x
Then, divide each side by -10 to get:
x = 6
Now, plug back in to check your answer:
30(6) - 60 = 20(6)
180 - 60 = 120
120 = 120

Hope this helps!! :)

4 0

3 years ago

Sam had a water bottle it can hold 0.3 liters how many milliliters can it hold

kow [346]

I believe it is 300 milliliters, because liters are 1000 times bigger than milliliters. I hope I am correct.

5 0

3 years ago

A function LaTeX: f\left(x\right)=\sqrt[3]{x}f ( x ) = x 3 is transformed into the function LaTeX: g\left(x\right)=-\sqrt[3]{x}-

shtirl [24]

Answer:

A reflection in the x-axis, and a vertical translation of 8 units down

Step-by-step explanation:

The given function is

$f(x) = \sqrt[3]{x}$

The transformed function is

$g(x) = - \sqrt[3]{x} - 8$

To see the transformation that occurred, we can rewrite g(x) in terms of f(x).

That is:

$g(x) = - f(x) - 8$

Therefore f(x) is reflected in the x-axis and translated 8 units down.

The resulting graph decreases from left to right over its entire domain.

7 0

3 years ago

An electric train is moving north at 100mph and a wind is blowing to the west at 10mph.Which way does the smoke blow?

BigorU [14]

Answer:

There is no smoke because it is an electric train it makes no smoke

Step-by-step explanation:

4 0

3 years ago