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Gnoma [55]
3 years ago
15

What is the x-intercept of the line with this equation −2x 12y=18 enter your answer in the box. (?, 0)

Mathematics
2 answers:
Margarita [4]3 years ago
8 0

Answer:

x-intercept of the given line is, (-9, 0)

Step-by-step explanation:

x-intercept says that a line crosses the x-axis

Substitute y = 0 and solve for x.

As per the statement:

An equation of line is given as:

-2x+2y = 18

To find the x-intercept:

Substitute y = 0 and solve for x:

-2x+12(0) = 18

⇒-2x = 18

Divide both sides by -2 we get;

x = -9

Therefore, the x-intercept of the line is, (-9, 0)

alexandr402 [8]3 years ago
6 0
I did this test too! The answer was (-9, 0) 

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Laim descended 5,050.25 feet and his elevation changed by -5,050.25.
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The first derivative of x^2+2y^2=16 is -x/(2y), the second is -(2y^2+x^2)/(4y^3). Find the third implicit derivative of x^2+2y^2
gtnhenbr [62]

Answer:

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

Step-by-step explanation:

d²y/dx² = (-2y² − x²) / (4y³)

Take the derivative (use quotient rule and chain rule):

d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²

d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)

d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)

d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)

d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)

Substitute:

d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)

d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

8 0
3 years ago
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Answer:

Step-by-step explanation:

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4 0
2 years ago
Joseph ordered 17 yards of lumber to build a tree house. how many inches of lumber did he order?
masya89 [10]

Answer:

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Step-by-step explanation:

1 yard = 36 inches.

17 * 36 =

8 0
2 years ago
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A container manufacturer plans to make rectangular boxes whose bottom and top measure 4x by 3x. The container must contain 48in.
alex41 [277]

The height of the container that will be able to minimize the cost will be 3.08cm.

<h3>How to calculate the height?</h3>

The volume of the box will be:

= (3x)(4x)h

= 12x²h

From the information given, we are told that the container must contain 48in³. Therefore,

48 = 12x²h

h = 4/x²

The function cost will be:

= 3.50(2)(12x²) + 4.40(14x)h

= 84x² + 61.6x(4/x²)

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We'll use the first derivative. This will be:

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Therefore, the height will be:

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In conclusion, the height is 3.08cm.

Learn more about height on:

brainly.com/question/1557718

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2 years ago
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