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3 years ago

Enter the value for x that makes the given equation true.

Mathematics

1 answer:

V125BC [204]3 years ago

6 0

Answer:

x = -1

Step-by-step explanation:

20x - 5(6x + 4) = 4x - 6

20x - 30x - 20 = 4x - 6

-10x - 20 = 4x - 6

-10x - 4x = -6 + 20

-14x = 14

x = -1

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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard

Bumek [7]

Answer:

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

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

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

$V=LWH$

we have

$L=(10-2x)\ cm$

$W=(10-2x)\ cm$

$H=x)\ cm$

substitute

$V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

Find the domain for x

we know that

$(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm$

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

5 0

3 years ago

The top of a 2.7m ladder, leaning against a wall, reaches a height of 1.6m. What angle, to the nearest degree, does the ladder m

VladimirAG [237]

So the hypotenuse is 2.7, and the opposite is 1.6.

We can use sine to find the angle.

sin(x) = (1.6)/(2.7)

Simplify:

sin(x) = 0.592592593

Plug this in your calculator to find the inverse of sine:

x = 36.34120312

So the angle is 36 degrees.

7 0

3 years ago

Read 2 more answers

zhannawk [14.2K]

Answer:

D (4,10)

Step-by-step explanation:

the answer is d

4 0

3 years ago

Expanded form of 670,200,640

Alona [7]