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3 years ago

What is the solution to the equation below?

Mathematics

1 answer:

hram777 [196]3 years ago

4 0

Answer:

$\large\boxed{A)\ x=-4}$

Step-by-step explanation:

$\dfrac{x}{4}=\dfrac{x+1}{3}\qquad\text{cross multiply}\\\\3x=4(x+1)\qquad\text{use the distributive property}\\\\3x=4x+4\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\-x=4\qquad\text{change the signs}\\\\x=-4$

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VLD [36.1K]

Answer:

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Step-by-step explanation:

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3 years ago

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A manufacturer cuts squares from the corners of a rectangular plece of sheet metal that measures 2 inches by 7 inches (see Figur

Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

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Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the open-topped box is equal to

$V=LWH$

where

$L=(7-2x)\ in\\W=(2-2x)\ in\\H=x\ in$

substitute

$V=(7-2x)(2-2x)x$

Convert to expanded form

$V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x$

using a graphing tool

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Remember that

The domain for x is the interval -----> (0,1)

Because

If x>1

then

the width is negative (W=2-2x)

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see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

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3 years ago

Adidea Corp regularly buts merchandise from vendors. It just purchased 1,000 units on credit from one of its vendors. How will t

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Answer:

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Recording it will be:

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Answer

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Step-by-step explanation

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Answer:

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Step-by-step explanation:

6 = a/4 + 2

4 = a/4 Subtract 2 from both sides

16 = a Multiply 4 to both sides

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