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3 years ago

4x + 3y = −6 6x + 3y = −6

Mathematics

1 answer:

Lena [83]3 years ago

8 0

Answer:

no solution

Step-by-step explanation:

If first equation is divided by 2 and the second equation is divided by 3, we get two equations 2x+y=3 and 2x+y= 4. These two lines are parallel and there cannot be any solution to the system

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If the price of a certain stock is $66.50 per share and its earnings are $4.75 per share, what is the ratio of the stock’s price

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I may be wrong but I think it's 14

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2 years ago

When deriving the quadratic formula by completing the square, what expression can be added to both sides of the

liubo4ka [24]

Answer:

The element you add is $b^2 / 4a$

Step-by-step explanation:

The element you add is $b^2 / 4a$

Remember that

$a x^2 + bx +c \\= a ( x^2 +(b/a)x ) + c$

So, in order to complete the square you add $(b/2a)^2$

But when you multiply times $a$ you get

$b^2 / 4a$

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3 years ago

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What is the equation of the parabola, in vertex form, with focus at (2,-4) and directrix y=-6?

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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

The maximum volume is 3.02 cubic inches

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

Graph the cubic equation

Remember that

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

Because

If x>1

then

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

The maximum is the point (0.46,3.02)

see the attached figure

therefore

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

The maximum volume is 3.02 cubic inches

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3 years ago

Dr. Drazzle collected 70 L of ocean water to test for antibacterial properties he split the water into 100 samples how much wate

Mazyrski [523]

70 liters ÷ 100 samples= 0.7 or 7/10 liter per sample

Hope this helps! :)

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3 years ago

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