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2 years ago

90 POINTS help ASAP.

Mathematics

2 answers:

seropon [69]2 years ago

4 0

Answer:

x=2

Step-by-step explanation:

2-2=0

square root of 0 is 0

0+2=2

and 2=2 so its 2

olasank [31]2 years ago

4 0

The answer is, X = 3, 2

I hope it helps.

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Solve for the following equation for x: 6(4x+5x)=3(x+8)+3 round to the nearest hundredth

Lelu [443]

Answer:

Decimal Form: x= 0.142857

Exact Form: x= -1/7

Step-by-step explanation:

6 0

3 years ago

I'm have some issues with the problem shown in the screenshot and would love some help.

KiRa [710]

The dimensions and volume of the largest box formed by the 18 in. by 35 in. cardboard are;

Width ≈ 8.89 in., length ≈ 24.89 in., height ≈ 4.55 in.

Maximum volume of the box is approximately 1048.6 in.³

<h3>How can the dimensions and volume of the box be calculated?</h3>

The given dimensions of the cardboard are;

Width = 18 inches

Length = 35 inches

Let x represent the side lengths of the cut squares, we have;

Width of the box formed = 18 - 2•x

Length of the box = 35 - 2•x

Height of the box = x

Volume, V, of the box is therefore;

V = (18 - 2•x) × (35 - 2•x) × x = 4•x³ - 106•x² + 630•x

By differentiation, at the extreme locations, we have;

$\frac{d V }{dx} = \frac{d( 4 \cdot \: {x}^{3} - 106 \cdot \: {x}^{2} + 630\cdot \: {x} ) }{dx} = 0$

Which gives;

$\frac{d V }{dx} =12\cdot \: {x}^{2} - 212\cdot \: {x} + 630 = 0$

6•x² - 106•x + 315 = 0

$x = \frac{ - 6 \pm \sqrt{106 ^2 - 4 \times 6 \times 315} }{2 \times 6}$

Therefore;

x ≈ 4.55, or x ≈ -5.55

When x ≈ 4.55, we have;

V = 4•x³ - 106•x² + 630•x

Which gives;

V ≈ 1048.6

When x ≈ -5.55, we have;

V ≈ -7450.8

The dimensions of the box that gives the maximum volume are therefore;

Width ≈ 18 - 2×4.55 in. = 8.89 in.

Length of the box ≈ 35 - 2×4.55 in. = 24.89 in.

Height = x ≈ 4.55 in.

The maximum volume of the box, V ≈ 1048.6 in.³

Learn more about differentiation and integration here:

brainly.com/question/13058734

#SPJ1

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1 year ago

Write a polynomial function that has the zeros -3, 1, -1 and has a leading coefficient of 1.

maks197457 [2]

Answer:

x3+3x2-x-3

Step-by-step explanation:

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2 years ago

WILL GIVE BRAINLIEST! Someone please graph these, I can't graph them.

nadezda [96]

Answer:

see attached image

Step-by-step explanation:

F(x) = 2x + 5 is a linear graph because the exponent on x is 1. I tell my students that think of graphs having one less turn/corner that the value of the highest exponent. so since 2x has a exponent of 1, 1-1 =0 so it has no turns or its a straight line.

this has a slope of 2 or 2/1 or up 2 and right 1 from the y intercept which is 5

so mark 5 on the y axis and a from there go up 2 and right 1 and make another point. Join these points and you have your graph

and

g(x) = (x-5)/2 is its inverse and is found:

F(x) = 2x + 5 write it this way y = 2x + 5

now swap the x and y x = 2y - 5

solve for y

x = 2y + 5

- 5 -5

x - 5 = 2y

/2 /2

(x-5)/2 = y